On state feedback stabilization of singular systems with random abrupt changes. (English) Zbl 1144.93029

Boukas, E. K.

J. Optim. Theory Appl. 137, No. 2, 335-345 (2008).

Summary: This paper deals with the class of continuous-time singular linear systems with random abrupt changes. The state feedback stabilization and its robustness for this class of systems with norm-bounded uncertainties are tackled. Sufficient conditions for designing either a stabilizing controller or a robust stabilizing controller are developed in the LMI setting. The developed sufficient conditions are used to synthesize the state feedback controller that guarantees that either the nominal system or the uncertain system is piecewise regular, impulse free and stochastically stable or robust stochastically stable.

MSC:

93E15	Stochastic stability in control theory
93D10	Popov-type stability of feedback systems
93B50	Synthesis problems
93B52	Feedback control

Keywords:

singular systems; jump linear systems; linear matrix inequality; stochastic stabilization; robust stochastic stabilization; state feedback controller

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