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Control laws for systems with inequality models of uncertainty

Control laws for systems with inequality models of uncertainty

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IEE Proceedings D (Control Theory and Applications) — Recommend this title to your library

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© The Institution of Electrical Engineers
Published

A problem of controller design for systems described by linear discrete-time models, with a known bound for the approximation error introduced by state equations, has been solved using necessary conditions for saddle-point equilibrium of a two-person zero-sum linear quadratic game. OL and OLF control laws have been found, and an algorithm for their calculation has been proposed and tested.

Inspec keywords: discrete time systems; control system synthesis; game theory

Other keywords: state equations; approximation error; inequality models; linear quadratic game; controller design; linear discrete-time models; saddle-point equilibrium

Subjects: Discrete control systems; Game theory; Control system analysis and synthesis methods

References

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      • A. Świerniak . Performance deterioration of optimum systems. Found. Control Eng. , 2 , 105 - 109
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      • F.C. Schweppe . (1973) , Uncertain dynamic systems.
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      • D. Bertsekas , I. Rhodes . Sufficiently informative functions and the minimax feedback control of uncertain dynamic systems. IEEE Trans. , 2 , 117 - 125
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      • G. Leitmann . On the efficacy of nonlinear control in uncertain linear systems. ASME J. Dynamic Syst., Meas. & Control , 95 - 102
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      • A. Świerniak . Estimation of performance deterioration caused by LS approximation error in dynamic systems (in Polish). Podstawy Sterowania , 2 , 161 - 168
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