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IEE Proceedings D - Control Theory and Applications

Issue 5 • Date September 1981

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Displaying Results 1 - 17 of 17
  • Special issue on: nonlinear systems theory and design

    Publication Year: 1981
    IEEE is not the copyright holder of this material | PDF file iconPDF (106 KB)
    Freely Available from IEEE
  • New approach to filtering for nonlinear systems

    Publication Year: 1981, Page(s):166 - 172
    IEEE is not the copyright holder of this material | Click to expandAbstract | PDF file iconPDF (846 KB)

    The paper describes a recently developed reformulation of the optimal-filtering equations for a noisily observed diffusion process and discusses the computational implications. The computation involved is the solution of a parabolic partial differential equation whose coefficients are determined by the observed process. A Monte Carlo method of solution is proposed and given in detail as an example... View full abstract»

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  • Analysis and design of nonlinear feedback systems

    Publication Year: 1981, Page(s):173 - 180
    Cited by:  Papers (1)
    IEEE is not the copyright holder of this material | Click to expandAbstract | PDF file iconPDF (1256 KB)

    The paper discusses methods, primarily those using frequency-domain techniques, for the analysis and design of nonlinear feedback control systems. The behavioural properties peculiar to nonlinear feedback systems are first discussed. This is followed by a review and discussion of the applicability of absolute stability criteria and describing-function methods for single-variable and multivariable ... View full abstract»

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  • Recent results in realisation theory of systems with discrete-time bilinear and multilinear response maps

    Publication Year: 1981, Page(s):181 - 184
    IEEE is not the copyright holder of this material | Click to expandAbstract | PDF file iconPDF (530 KB)

    In the paper, a review of recent results in the realisation theory of systems having multilinear input/output response functions is given. Such systems form a subclass of the more general class of polynomial systems, which in turn are a very special class of nonlinear system. It is shown that, in the bilinear case, the problem has essentially been resolved by two important results: an extension of... View full abstract»

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  • Observers and minimum-energy controls for nonlinear systems

    Publication Year: 1981, Page(s):185 - 187
    IEEE is not the copyright holder of this material | Click to expandAbstract | PDF file iconPDF (256 KB)

    Using generalised inverses and their relationship to least-squares problems, controls and state estimators are derived for linear systems. These results are then extended to nonlinear systems using a fixed-point theorem. View full abstract»

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  • Banach-space theory of analytic systems

    Publication Year: 1981, Page(s):188 - 194
    IEEE is not the copyright holder of this material | Click to expandAbstract | PDF file iconPDF (794 KB)

    The paper deals with nonlinear systems whose input/output relation may be represented by a functional power series in Banach space. It is shown how certain types of forced analytic differential equation (including the analytic state-space equation) can be solved explicity by such functional series. Special attention is given to the convergence of the solution which is related to the bounded-input/... View full abstract»

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  • Stability and convergence of adaptive controllers-continuous systems

    Publication Year: 1981, Page(s):195 - 200
    IEEE is not the copyright holder of this material | Click to expandAbstract | PDF file iconPDF (580 KB)

    The first self-adaptive control systems were proposed some 25 years ago. The paper traces the historical development of model-reference adaptive control systems and especially their theoretical basis. The use of Lyapunov functions and hyperstability theory in analysis and synthesis is considered, the r¿¿le played by positive real transfer functions being particularly emphasised. Some practical app... View full abstract»

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  • Chaos

    Publication Year: 1981, Page(s):201 - 205
    Cited by:  Papers (48)
    IEEE is not the copyright holder of this material | Click to expandAbstract | PDF file iconPDF (773 KB)

    Nonlinear systems can have very complicated nontransient behaviour in addition to the static and periodic solutions familiar to everyone. Mathematicians have known for years about the existence of chaotic solutions (persisting modes of dynamic behaviour that have no simple recurrence properties, even though they are not stochastic), but it is only recently that much progress has been made in analy... View full abstract»

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  • Estimation of the Volterra functional series of a nonlinear system using frequency-response data

    Publication Year: 1981, Page(s):206 - 210
    Cited by:  Papers (6)
    IEEE is not the copyright holder of this material | Click to expandAbstract | PDF file iconPDF (682 KB)

    An algorithm is presented for the estimation of the parameters of the Volterra kernels of non-linear systems using a composite-frequency input signal. Transformations are presented between the Volterra and Wiener descriptions of nonlinear systems, which, together with an aperiodic model of Gaussian white noise, reveal the uniqueness of harmonics in the response spectrum. A periodic approximation t... View full abstract»

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  • Practicable identification of nonstationary nonlinear systems

    Publication Year: 1981, Page(s):211 - 214
    Cited by:  Papers (7)
    IEEE is not the copyright holder of this material | Click to expandAbstract | PDF file iconPDF (461 KB)

    A method is presented that makes practicable the identification of nonstationary Wiener systems. The method employs a single-record estimator for the evaluation of the time-variant system kernels, thus relaxing the strict requirement of the ergodic hypothesis that has so far limited applications of the Wiener theory to stationary systems. The estimator is unbiased and consistent under fairly weak ... View full abstract»

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  • Off-axis multivariable circle stability criterion

    Publication Year: 1981, Page(s):215 - 218
    IEEE is not the copyright holder of this material | Click to expandAbstract | PDF file iconPDF (478 KB)

    In 1968, the scalar circle stability criterion was extended by Cho and Narendra to the off-axis case by the use of multipliers Q, Q¿1 which have an RL or RC realise structure, so that the product of the linear portion of the feedback system and the multiplier was positive-real. Fabl, Freedman and Zames produced a multivariable on-axis circle criterion for systems whose linear part is normal for a... View full abstract»

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  • Limit-cycle predictions in sampled data systems

    Publication Year: 1981, Page(s):219 - 222
    IEEE is not the copyright holder of this material | Click to expandAbstract | PDF file iconPDF (549 KB)

    For sampled data systems, it is possible to express discrete time convolution in terms of appropriate matrix multiplication. A limiting process then yields the steady-state response to a periodic input. The matrix involved in this operation is a circulant matrix based on the impulse response of the system. Circulant matrices are known to have useful structural properties and permit the association... View full abstract»

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  • Adaptive estimator for automatic guidance of an unmanned submersible

    Publication Year: 1981, Page(s):223 - 226
    IEEE is not the copyright holder of this material | Click to expandAbstract | PDF file iconPDF (364 KB)

    The automatic guidance of an unmanned submersible using an acoustic navigation system requires a state estimator that can predict the vehicle position during the navigation sample period, filter the random measurement disturbance and estimate the mean disturbance due to sea current. The hydrodynamic parameters of the vehicle are nonlinear and can vary with the magnitude and direction of the relati... View full abstract»

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  • Bang-bang control law for single-input time-invariant plant

    Publication Year: 1981, Page(s):227 - 232
    IEEE is not the copyright holder of this material | Click to expandAbstract | PDF file iconPDF (656 KB)

    A bang-bang control law for digital-processor implementation is presented which directly implements a nonlinear switching surface for sub-time-optimal control of a single-input time-invariant linear plant of arbitrarily high order with unbalanced control levels. The control law requires a complete state vector and must usually be used with a state estimator or observer. Results are presented for a... View full abstract»

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  • Prediction of limit cycles in multivariable nonlinear systems

    Publication Year: 1981, Page(s):233 - 241
    Cited by:  Papers (1)
    IEEE is not the copyright holder of this material | Click to expandAbstract | PDF file iconPDF (1135 KB)

    The paper is concerned with recent developments in the application of harmonic approximants to predict limit-cycling conditions in multivariable feedback systems. Emphasis is placed on computational procedures giving graphical interpretations in the frequency domain which will be useful in the subsequent design of suitable linear compensator elements. Early work based on the single-harmonic approx... View full abstract»

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  • Geometric structures in systems theory

    Publication Year: 1981, Page(s):242 - 252
    Cited by:  Papers (11)
    IEEE is not the copyright holder of this material | Click to expandAbstract | PDF file iconPDF (1368 KB)

    The predominance of linear models in systems theory has tended to obscure the natural structure possessed by given nonlinear physical systems, either through linearisation, model order reduction, or choice of co-ordinates. The purpose of the paper is to motivate the reintroduction of geometric structure into systems theory. First, a brief introduction to the more common geometric structures is giv... View full abstract»

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  • Conference report: Control and its applications

    Publication Year: 1981
    IEEE is not the copyright holder of this material | PDF file iconPDF (165 KB)
    Freely Available from IEEE