Robust control for Markovian jump delta operator systems with actuator saturation. (English) Zbl 1293.93771
Summary: In this paper, robust stochastic stabilization problems for uncertain Markovian jump linear delta operator systems with actuator saturation are considered. The definition of the domain of attraction for a Markovian jump delta operator system in mean square sense is introduced to analyze the stochastic stability of the closed-loop system. By using a stochastic Lyapunov function which is dependent on the jump mode, design procedures for a mode-dependent state feedback controller are developed based on linear matrix inequality approach. A mode-independent state feedback controller is also designed by using a mode-independent Lyapunov function. Some simulation results are given to illustrate the effectiveness of the developed techniques.
MSC:
| 93E15 | Stochastic stability in control theory |
| 93B35 | Sensitivity (robustness) |
| 60J75 | Jump processes (MSC2010) |
| 93C10 | Nonlinear systems in control theory |
Keywords:
Markovian jump system; delta operator system; actuator saturation; robust control; linear matrix inequalityReferences:
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