有记忆和无记忆滑模控制器设计及其可行性

Memory and Memoryless Sliding Mode Controllers and Their Feasibility

针对非线性不确定时滞系统,设计了有记忆和无记忆滑模控制器,并分析了其可行性.通过不等式变换技巧,研究了时滞系统的有记忆滑模控制器设计问题,并将该控制器的可行性问题转化为线性系统的状态反馈二次稳定性问题.此外,给出了无记忆滑模控制器设计方案并给出了其可行性判据.所提方法的显著优点是不需要求解线性矩阵不等式就能判断滑模控制器设计的可行性.

Memory and memoryless sliding mode controllers are designed for the time-delay systems,and their feasibility is studied.By using the inequality transformation skills,the memory sliding mode controller is designed for time-delay system,and the feasibility of this controller can be transformed into the quadratic stabilizability by state feedback for linear systems.Furthermore,the memoryless sliding mode controller is also designed and the feasibility criterion for this controller is provided.The main advantage of the proposed method is that the feasibility of the sliding mode controllers can be judged without solving the linear matrix inequalities.