具有暂态性能约束的切换系统的控制设计

This project intends to investigate the control design problem of switched systems with transient performance constraints. First, for the linear system with transient performance constraints, a switched static feedback controller which consists of multiple static output feedback controllers and a proper switching law are designed under which the output of the closed-loop switched system can track a.step signal asymptotically with satisfying the given transient performances requirements. Moreover, an optimal weighted transient performance measured by overshoot and settling time is obtained by solving a nonlinear programming problem. Secondly, the stabilization problem of the switched linear systems with transient performance constraints is addressed, an transient-dependent improved average dwell time method is presented. By using this improved average dwell time method, we propose the sufficient conditions for stability and stabilizability of such switched systems and design the switched state feedback controllers.Based on the results of the stabilization problem previously, we further study the corresponding H∞ control for this class of switched systems with transient performance constraints. Subsequently, we discuss the stabilization and H∞ control problems of the switched nonlinear systems in lower triangular form with transient performance constraints, a backstepping with respcet to transient performace design method is proposed, by utilizing this method, a switched feedback controller is explicitly constructed.

本项目研究具有暂态性能约束的切换系统的控制设计问题。首先，针对具有暂态性能约束的线性系统，通过设计切换控制器使得系统输出在满足指定暂态性能的同时对参考信号渐近跟踪，再通过非线性规划获得加权暂态性能指标的最优解；其次，针对具有暂态性能约束的线性切换系统进行研究，提出暂态性能依赖型的平均驻留时间方法，给出系统镇定的充分条件并设计状态反馈控制器，在此基础上，给出了相应的H∞控制的结果；继而，研究具有暂态性能约束的下三角结构的非线性切换系统的镇定及H∞控制问题，提出与暂态性能相关的反步法参数设计方法并构造状态反馈控制。

本项目研究具有暂态性能约束的切换系统的控制设计问题。首先，针对具有暂态性能约束的线性系统，通过设计切换控制器使得系统输出在满足指定暂态性能的同时对参考信号渐近跟踪，再通过非线性规划获得加权暂态性能指标的最优解；其次，针对具有暂态性能约束的线性切换系统进行研究，提出暂态性能依赖型的平均驻留时间方法，给出系统镇定的充分条件并设计状态反馈控制器，在此基础上，给出了相应的H∞控制的结果；继而，研究具有暂态性能约束的下三角结构的非线性切换系统的镇定及H∞控制问题，提出与暂态性能相关的反步法参数设计方法并构造状态反馈控制。