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1993•IEEE Transactions on Automatic ControlRequires access

Robust stability and performance via fixed-order dynamic compensation: the discrete-time case

Wassim M. Haddad, Hsing‐Hsin Huang, Dennis S. Bernstein

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Abstract

A discrete-time feedback-control-design problem involving parametric uncertainty is considered. A quadratic bound suggested by recent work on discrete-time state-space H/sub infinity / theory is utilized in conjunction with the guaranteed cost approach to guarantee robust stability with a robust performance bound. The principal result involves sufficient conditions for characterizing robust full- and reduced-order controllers with a worst case H/sub 1/ performance bound.>

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What this paper is about

A discrete-time feedback-control-design problem involving parametric uncertainty is considered. A quadratic bound suggested by recent work on discrete-time state-space H/sub infinity / theory is utilized in conjunction with the guaranteed cost approach to guarantee robust stability with a robust performance bound. The principal result involves sufficient conditions for characterizing robust full- and reduced-order controllers with a worst case H/sub 1/ performance bound.>

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Available abstract

A discrete-time feedback-control-design problem involving parametric uncertainty is considered. A quadratic bound suggested by recent work on discrete-time state-space H/sub infinity / theory is utilized in conjunction with the guaranteed cost approach to guarantee robust stability with a robust performance bound. The principal result involves sufficient conditions for characterizing robust full- and reduced-order controllers with a worst case H/sub 1/ performance bound.>

Key concepts: Discrete time and continuous time, Robust control, Parametric statistics, Control theory (sociology), Stability (learning theory), Upper and lower bounds, Mathematics, Quadratic equation

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