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Decision and Control, 2000. Proceedings of the 39th IEEE Conference on

Date 12-15 Dec. 2000

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  • Proceedings of the 39th IEEE Conference on Decision and Control [front matter]

    Publication Year: 2000 , Page(s): i - li
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  • Extended argument principle and integral design constraints. Part I. A unified formula for classical results

    Publication Year: 2000 , Page(s): 4984 - 4989 vol.5
    Cited by:  Papers (2)
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    We study Bode and Poisson type integral relations. We focus on a link between the well-known argument principle and Bode and Poisson integrals, which have been unnoticed previously. We show how various integral constraints may be unified under an extended version of the argument principle. This enables us to derive the classical Bode and Poisson integral relations in a simple manner, and further to discover new integral formulas of significance for an analysis of control design limitation and tradeoff. View full abstract»

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  • Author index

    Publication Year: 2000 , Page(s): A1 - A15
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    Freely Available from IEEE
  • Observers for the biotechnological processes with unknown kinetics. Application to wastewater treatment

    Publication Year: 2000 , Page(s): 4526 - 4531 vol.5
    Cited by:  Papers (1)
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    We present nonlinear observers for a class of biotechnological processes. These observers are an extension of the asymptotic observers (observers with unknown inputs) devoted to biotechnological systems for which some parts of the model are unknown. We take benefit of the outputs which are nonlinear functions of the state to design a closed loop observer. The global convergence of these nonlinear observers is proven. The method is illustrated with an experimental application to a water treatment process View full abstract»

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  • A new robust observer for the perspective system

    Publication Year: 2000 , Page(s): 5163 - 5168 vol.5
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    In this paper, we consider the problem of estimating the position of an object moving in the space by observing its image with the aid of a CCD camera. The problem can be converted into the observation of a dynamical system with nonlinearities. A new method, which is inspired by the sliding mode techniques, is proposed to identify the obtained dynamical system. The attraction of the new method is that the identification can be finished in a very short time, the algorithm is very simple and easy to be implemented, and it is robust to measurement noises. Further, little a priori knowledge of the system is required in the new formulation. Simulation results show the superiority of the new method to the traditional ones View full abstract»

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  • Subband coding for fast controller implementation

    Publication Year: 2000 , Page(s): 4308 - 4313 vol.5
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    This papers concerns a new wavelet packet based design methodology for efficient implementation of digital controllers that operate at very high sampling rates, but for reasons of compactness are fabricated on VLSI chips with limited surface area. We argue that this brings about a fundamental tradeoff between sampling speed, accuracy due to signal quantization, and the chip area. Here we reconcile this tradeoff using multirate subband coding techniques, that exploit spectral disparities in the closed loop signals. A precise optimization problem is formulated, and its solution presented View full abstract»

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  • Robust interval-based SISO and SIMO regulation for a class of highly uncertain bioreactors: application to the anaerobic digestion

    Publication Year: 2000 , Page(s): 4532 - 4537 vol.5
    Cited by:  Papers (3)
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    A robust set-valued regulation law is proposed for the stabilization of an anaerobic digester for the treatment of wastewater. This process exhibits a highly nonlinear dynamic behavior. In addition, it must operate in an uncertain environment with the presence of unknown inputs. Supporting some structural and operational conditions, this regulation law exponentially stabilizes the two most important variables in the anaerobic digester: the chemical oxygen demand concentration and the volatile fatty acids concentration around a desirable steady state in the presence of kinetic uncertainties and input disturbances. Simulations are carried out handling operational conditions close to those used in a real plant View full abstract»

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  • 2 optimization applied to general transmultiplexer design

    Publication Year: 2000 , Page(s): 4314 - 4319 vol.5
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    The paper considers design of multi-channel, nonuniform-band transmultiplexers using H2 optimization. General dual-rate structures are used to provide more design freedom. Such general transmultiplexers have a new source of error called aliasing distortion. We propose a composite error criterion which captures all distortions in one, develop an optimal design procedure and apply it to a three-channel nonuniform example, yielding a FIR transmultiplexer which has good frequency limiting properties in the synthesis end and is very close to perfect reconstruction View full abstract»

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  • New integral representations and algorithms for computing nth roots and the matrix sector function of nonsingular complex matrices

    Publication Year: 2000 , Page(s): 4247 - 4252 vol.5
    Cited by:  Papers (3)
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    It is known that sector switching is a problem of many locally convergent methods for computing the matrix sector function such as Newton's and Halley's methods. In this paper, fast convergent and stable algorithms for approximating the matrix sector function and the principal nth root of complex matrices which avoid these problems are presented. These methods are based on new integral representations of the matrix sector function and the principal nth root of a complex matrix. The new representations are based on Cauchy integral formula and the residue theorem in analytic function theory. The generalized Householder method for computing the matrix sector function and the principal nth root of a complex matrix are introduced. Finally, a new matrix decomposition called “sector factorization” is defined View full abstract»

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  • Parametrization of admissible controllers for generalized Rosenbrock systems

    Publication Year: 2000 , Page(s): 5014 - 5019 vol.5
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    The problem of parametrizing feedback systems with prescribed properties for general linear systems in Rosenbrock representation is considered. With this, the results of stabilizing controller parametrization for state space systems can be extended to the general case where system regularity is not assumed. The stabilization theory is formulated axiomatically to permit its application to a wide variety of design problems and is extremely elementary in nature View full abstract»

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  • Adaptive backstepping control of nonlinear systems with unmatched uncertainty

    Publication Year: 2000 , Page(s): 4765 - 4770 vol.5
    Cited by:  Papers (4)
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    Considers control design using an adaptive backstepping algorithm for a class of nonlinear continuous uncertain processes with disturbances which can be converted to a parametric semi-strict feedback form. Sliding mode control using a combined adaptive backstepping sliding mode control algorithm is also studied. The algorithm follows a systematic procedure for the design of adaptive control laws for the output of observable minimum phase nonlinear systems with matched and unmatched uncertainty. An existing sufficient condition for sliding is not needed by the new algorithm View full abstract»

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  • Improved PCA with optimized sensor locations for process monitoring and fault diagnosis

    Publication Year: 2000 , Page(s): 4353 - 4358 vol.5
    Cited by:  Papers (4)
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    Process monitoring and fault diagnosis using the principal component analysis (PCA) has been studied intensively and applied to industry processes. The emphasis of most PCA-based works has been mainly on procedures to perform monitoring and diagnosis for given a set of sensors, and little attention is paid to the actual location of sensors for efficient detection and identification of process faults. In this paper, graph-based techniques are used to optimize sensor locations to obtain the maximum fault resolution. Based on the optimized sensor network, an improved PCA is proposed by introducing two new statistics of PVR and CVR to replace the Q statistic in the conventional PCA. The improved PCA can efficiently detect weak changes, and give an insight into the root cause of process faults. Simulation results of a CSTR process show that the improved PCA with optimized sensor locations is superior to the conventional methods View full abstract»

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  • Approximate inversion of hysteresis: theory and numerical results [magnetostrictive actuator]

    Publication Year: 2000 , Page(s): 4448 - 4454 vol.5
    Cited by:  Papers (7)
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    In previous work, the authors proposed a low (6) dimensional model for a thin magnetostrictive actuator that was suitable for real-time control. One of the main results of this modeling effort was the separation of the rate-independent hysteretic effects from the rate-dependent linear effects. The hysteresis phenomenon may also be captured by a (modified) Preisach operator with the average magnetic field as the input. If one can find an inverse for the Preisach operator, then the composite system can be approximately linearized. In this paper, we propose a new algorithm for computation of the inverse for the classical Preisach model. Prior approaches depended on the linearization of the operator at the operating point. As numerical differentiation is involved, this approach can cause divergence. Our algorithm does not linearize the Preisach operator, but makes use of its strictly incrementally increasing property. Convergence of the algorithm is proved using the contraction mapping principle View full abstract»

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  • Invariant sets for constrained nonlinear discrete-time systems with application to feasibility in model predictive control

    Publication Year: 2000 , Page(s): 4951 - 4956 vol.5
    Cited by:  Papers (22)
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    An understanding of invariant set theory is essential in the design of controllers for constrained systems, since state and control constraints can be satisfied if and only if the initial state belongs to a positively invariant set for the closed-loop system. The paper briefly reviews some concepts in invariant set theory and shows that the various sets can be computed using a single recursive algorithm. The ideas presented in the first part of the paper are applied to the fundamental design goal of guaranteeing feasibility in predictive control. New necessary and sufficient conditions based on the control horizon, prediction horizon and terminal constraint set are given in order to guarantee that the predictive control problem will be feasible for all time, given any feasible initial state View full abstract»

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  • Robust Hurwitz and Schur stability test for interval matrices

    Publication Year: 2000 , Page(s): 4209 - 4214 vol.5
    Cited by:  Papers (4)
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    By relying on a 2D face test, we obtain a necessary and sufficient condition for the robust Hurwitz and Schur stability of interval matrices. We reveal that it is impossible that there are some isolated unstable points in the parameter space of the matrix family, so the stability of exposed 2D faces of an interval matrix guarantees stability of the matrix family. Examples are given to demonstrate the applicability of our robust stability test of interval matrices View full abstract»

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  • Fixed point iterations for computing square roots and the matrix sign function of complex matrices

    Publication Year: 2000 , Page(s): 4253 - 4258 vol.5
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    The purpose of this work has been the development of new set of rational iterations for computing square roots and the matrix sign function of complex matrices. Given any positive integer r⩾2, we presented a systematic way of deriving rth order convergent algorithms for matrix square roots, the matrix sign function, invariant subspaces in different half-planes, and the polar decomposition. We have shown, that these iterations are applicable for computing square roots of more general type of matrices than previously reported, such as matrices in which some of its eigenvalues are negative. Also, algorithms for computing square roots and the invariant subspace of a given matrix in any given half-plane are derived View full abstract»

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  • Strict positive realness for linear time-invariant systems with time-delays

    Publication Year: 2000 , Page(s): 5004 - 5009 vol.5
    Cited by:  Papers (1)
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    Strict positive realness (SPR) of linear time-invariant systems with multiple time-delays is discussed. We present sufficient conditions via linear matrix inequalities (LMIs) such that the linear delayed system is strictly positive real. More generally, we present a memoryless state feedback controller via LMIs such that the resulting closed-loop system is SPR with α-asymptotic stability constraint (α-SPR) for a class of linear time-delay control system. Furthermore, we give an LMI approach to the optimization problem of computation of the maximal allowable bound on the time-delays such that the closed-loop system is α-SPR View full abstract»

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  • On the development of generalized Hamiltonian realizations

    Publication Year: 2000 , Page(s): 5125 - 5130 vol.5
    Cited by:  Papers (9)
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    The problem of energy-based Lyapunov functions has been investigated by several authors. The Lyapunov candidates are chosen from the Hamiltonian functions of generalized Hamiltonian systems. Here a new approach provides a method for solving stabilization problems for controlled Hamiltonian systems. Three kinds of generalized Hamiltonian realization are investigated. The first is the generalized Hamiltonian realization of a dynamic system. As an example, the excitation control system is investigated. The feedback dissipative realization of controlled Hamiltonian systems is then considered. A necessary and sufficient condition for existence of this realization is obtained. Finally, the approximate realization is considered. A normal form result is implemented to provide certain computable conditions View full abstract»

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  • Relaxing the optimality condition in receding horizon control

    Publication Year: 2000 , Page(s): 4945 - 4950 vol.5
    Cited by:  Papers (1)
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    Receding horizon control is based on iteratively solving an open-loop finite horizon optimization problem. Despite its success in a variety of industrial applications, theoretical issues such as stability were not completely addressed until recently. It was shown in Jadbabaie et al. (1999) that by utilizing a suitable control Lyapunov function (CLF) as terminal cost, the stability of the receding horizon scheme can be guaranteed and the region of attraction of the receding horizon controller can be estimated. The key point in this approach, which made it different from others, was removal of additional stability constraints, hence making the optimizations much easier to solve. A requirement implied in the previous results was being able to solve the optimizations globally. In this paper, that assumption is removed and it is shown that the optimality can be replaced by an improvement property. Specifically, instead of requiring the trajectories to be optimal, it is required that a certain amount of decrease in the cost is obtained at each receding horizon iteration. It is further shown that there always exist a sequence of controls which guarantee the necessary decrease in the cost. A numerical example using the inverted pendulum is presented to illustrate this point View full abstract»

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  • Gramian based interaction measure

    Publication Year: 2000 , Page(s): 5020 - 5022 vol.5
    Cited by:  Papers (18)
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    Stable multivariable systems are considered and a gramian based measure of dynamic channel interaction is proposed. This measure also supports decisions regarding input-output pairing in decentralized control, triangular control and other controller structures View full abstract»

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  • A study of tracking-differentiator

    Publication Year: 2000 , Page(s): 4783 - 4784 vol.5
    Cited by:  Papers (7)
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    A second-order dynamics, tracking-differentiator, is given to generate smooth approximation of the incoming measurement and its derivative, which can be used as the desired trajectory for the control system View full abstract»

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  • Reduced-complexity smoothing for hidden Markov models

    Publication Year: 2000 , Page(s): 4697 - 4702 vol.5
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    We investigate approximate smoothing schemes for a class of hidden Markov models (HMM), namely, HMMs with underlying Markov chains that are nearly completely decomposable. The objective is to obtain substantial computational savings. Our algorithm can not only be used to obtain aggregate smoothed estimates, but can be used to obtain systematically approximate full-order smoothed estimates with computational savings, unlike many of the aggregation methods proposed earlier View full abstract»

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  • PWM-type discrete VSS controller for on/off actuator systems

    Publication Year: 2000 , Page(s): 5131 - 5136 vol.5
    Cited by:  Papers (1)
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    In this paper, a regulation problem for systems whose control input signal is restricted to on/off pulses with large sampling periods is considered. A control law is designed for a class of single input systems with full state information and does not require the system to be stable. First, a sliding sector for discrete-time system is defined based on a norm of the system state where the norm decreases inside the sliding sector. Then the PWM-type discrete-time VSS control law is designed to move the system state from the outside to the inside of the sliding sector. Simulation show the effectiveness of the proposed controller View full abstract»

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  • Fault-tolerant control about integrity for descriptor systems

    Publication Year: 2000 , Page(s): 4359 - 4360 vol.5
    Cited by:  Papers (3)
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    This paper discusses the design of integrity controller for linear time-invariant discrete descriptor system. Some conditions for integrity of the system are obtained by Lyapunov method View full abstract»

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  • Controllability and stabilization of liquid vibration in a container during transportation

    Publication Year: 2000 , Page(s): 4641 - 4646 vol.5
    Cited by:  Papers (1)
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    Deals with the modeling and the mathematical analysis of problems involving a rectangular container. The container is controlled via a longitudinal acceleration in order to move it from one location to another, and the key problem is the suppression of sloshing during transportation. Practical control problems involving this system have been studied, from a numerical and experimental point of view. For these aspects we refer to Terashima et al. (1993), where the mathematical analysis is not deep enough for the study of controllability or stabilization problems. Here we develop a suitable theoretical framework which is similar to the one used by Mottelet (2000), since the physical system is the same, but with different input and output operators. This framework allows us to show that approximate controllability in finite time does not hold. We also study the stability of the system when the elevation of the surface is measured at the right end of the container, and a static negative acceleration feedback is used. We show that strong stability holds (but with a non-uniform decay), although the perturbation caused by the feedback on the system operator is not dissipative in the natural topology View full abstract»

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