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RESEARCH PRODUCT
Stabilization and lx -gain analysis of switched positive systems with actuator saturation
Xi DingZhengrong XiangHamid Reza Karimisubject
Convex hulll<inf>1</inf>-gain performanceApplied MathematicsTime-varying delaysActuator saturationComputer Science Applications1707 Computer Vision and Pattern RecognitionPositive systemsActuator saturation; l<inf>1</inf>-gain performance; Positive systems; Switched systems; Time-varying delays; Computer Science Applications1707 Computer Vision and Pattern Recognition; Control and Systems Engineering; Applied Mathematics; Modeling and SimulationStability (probability)Positive systemsActuator saturationControl theoryControl and Systems EngineeringStability theoryModeling and SimulationState spaceRepresentation (mathematics)Saturation (chemistry)Switched systemsMathematicsdescription
This paper is concerned with the problems of stability and l 1 -gain analysis for a class of switched positive systems with time-varying delays and actuator saturation. Firstly, a convex hull representation is used to describe the saturation behavior. By constructing a multiple co-positive Lyapunov functional, sufficient conditions are provided for the closed-loop system to be locally asymptotically stable at the origin of the state space under arbitrary switching. Then, the l 1 -gain performance analysis in the presence of actuator saturation is developed. Finally, two numerical examples are provided to demonstrate the effectiveness of the proposed method.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-07-01 |