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A method of reduced order robust controller design, based on frequency conditions

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2 Author(s)
Brusin, V.A. ; Nizhny Novgorod State. Univ. of Archit. & Civil Eng., Russia ; Brusin, A.V.

We consider the control of a plant described by a linear system with x ε Rn as a state, u ε Rm-control input, ξ ε Rl-unmeasurable input. The considered problem is to give a method of (n-k)-dimensional output controller design so that for the closed-loop system the expression 0 F(x(t),u(t),ξ(t))dt⩽C(x(0)), ∀T>0 is valid, where F is a given quadratic form Rn×Rm×Rl→R1 . In particular variants of this inequality lead to the solution of the H-control problem and the absolute stabilization problem. The solution is based on frequency conditions of n-dimensional robust controllers, due to V. Brusin (1999), and decomposition of the n-dimensional space into a direct sum of subspaces. The application of this method to the spring-connected two-mass system with perturbed stiffness and external disturbances is given

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Control of Oscillations and Chaos, 2000. Proceedings. 2000 2nd International Conference  (Volume:3 )

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