Dwell-Time-Based Exponential Stabilization of Switched Positive Systems With Actuator Saturation
Ruicheng Ma, Qi Chen, Shengzhi Zhao, Jun Fu
Abstract
This article investigates the exponentially stabilization problem for a class of switched positive systems with actuator saturation under dwell time switching signal. The state feedback controllers for each subsystem are designed by proposing a new type of multiple time-varying linear co-positive Lyapunov functions (MTVLCLFs), and sufficient conditions for the exponentially stabilization of the studied systems are proposed under dwell-time switching. In order to cope with actuator saturation, the convex hull technique is utilized. Finally, an example of a turbofan engine model is presented to show the effectiveness of our proposed method.
Topics & Concepts
Dwell timeControl theory (sociology)ActuatorConvex hullSaturation (graph theory)Exponential stabilityExponential growthExponential functionLyapunov functionConvex combinationState (computer science)Computer scienceMathematicsRegular polygonNonlinear systemConvex optimizationControl (management)AlgorithmPhysicsMedicineQuantum mechanicsClinical psychologyMathematical analysisGeometryArtificial intelligenceCombinatoricsStability and Control of Uncertain SystemsStability and Controllability of Differential EquationsControl and Stability of Dynamical Systems