Reliable robust guaranteed cost and D-stability control for delta operator linear uncertain systems

The reliable robust guaranteed cost and D-stability control problem is investigated for a class of delta operator formulated linear uncertain systems subject to actuator failure. The purpose is to design a state feedback controller which can tolerate actuator failures, such that the cost function of...

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Bibliographic Details
Published inProceedings of the 29th Chinese Control Conference pp. 174 - 178
Main Author Xiao, Minqing
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.07.2010
Subjects
Actuator failure
Actuators
Cost function
D-stable
Delta operator system
Guaranteed cost control
Linear matrix inequalities
Reliability engineering
Reliability theory
Reliable control
Robustness
Symmetric matrices
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ISBN1424462630
9781424462636
ISSN1934-1768

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Summary:The reliable robust guaranteed cost and D-stability control problem is investigated for a class of delta operator formulated linear uncertain systems subject to actuator failure. The purpose is to design a state feedback controller which can tolerate actuator failures, such that the cost function of the closed-loop system is guaranteed to be no more than a certain upper bound, and the poles of the closed-loop system are located in an expected disk on complex plane. A sufficient condition for the existence of such controllers is obtained via the linear matrix inequality approach. Furthermore, a convex optimization problem is presented to design the optimal reliable robust guaranteed cost controller which minimizes the upper bound of the closed-loop cost.
ISBN:1424462630
9781424462636
ISSN:1934-1768