Positivity and Saturated Stabilization of Singular Switched Positive Systems Under Mode-Dependent Minimum Dwell Time
研究了具有执行器饱和的奇异切换正系统在模态依赖最小驻留时间约束下的正性分析和指数镇定设计，提出了基于奇异值分解的正性判据和线性规划形式的饱和控制器设计方法。
This article presents a positivity analysis and exponential stabilization design for singular switched positive systems (SSPSs) with actuator saturation under a mode-dependent minimum dwell time (MDMDT) constraint. First, a necessary and sufficient positivity criterion is proposed for SSPSs using the singular value decomposition approach. Then, an exponential stability condition is provided for the closed-loop SSPSs via the mode-dependent state-feedback control using a novel discretized linear copositive Lyapunov function technique. Furthermore, by applying the matrix decomposition technique to the controller gain matrix and controller auxiliary gain matrix, an effective mode-dependent design scheme for a saturation controller in the solvable linear programming (LP) form is proposed for the SSPSs. For singular positive systems, an effective saturation control scheme in the solvable LP form can be obtained accordingly. Finally, three examples are provided to validate the results.