On the robustness of LQ regulators for discrete-time systems

On the robustness of LQ regulators for discrete-time systems

A sufficient condition for quadratic stabilizability of uncertain linear discrete-time systems using LQ regulators is presented. The true system is represented by a nominal model plus additive terms representing the most common types of uncertainties in the state and input matrices. Sufficient robus...

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Veröffentlicht in:IEEE transactions on automatic control 1992-10, Vol.37 (10), p.1564-1568
Hauptverfasser: Neto, A.T., Dion, J.M., Dugard, L.
Format: Artikel
Sprache:eng
Schlagworte:
Applied sciences
Computer science
control theory
systems
Control system analysis
Control theory. Systems
Exact sciences and technology
Linear systems
Minimax techniques
Regulators
Riccati equations
Robust control
Robustness
State feedback
Sufficient conditions
Uncertainty
Vectors
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Zusammenfassung:A sufficient condition for quadratic stabilizability of uncertain linear discrete-time systems using LQ regulators is presented. The true system is represented by a nominal model plus additive terms representing the most common types of uncertainties in the state and input matrices. Sufficient robustness bounds as well as a robustification procedure for discrete-time LQ regulators are presented and the conservativeness of the proposed condition is discussed.< >
ISSN:0018-9286
1558-2523
DOI:10.1109/9.256383