一类具有Markov跳跃参数的不确定混合系统滑模控制

针对一类具有Markov跳跃参数的不确定混合系统,基于滑模控制理论,设计了滑模控制器.通过线性矩阵不等式方法,分别给出了匹配不确定和非匹配不确定条件下系统在滑模面上均方意义下指数稳定的充分条件.同时针对这两种不确定性,设计了相应的滑模控制策略,并证明了该控制策略能够确保系统的运动轨迹在有限时间内到达滑模面并一直保持在滑模面上.仿真结果表明,所设计的控制器对不确定混合线性Markov跳跃系统具有很强的稳定性和鲁棒性.

Sliding Mode Control for a Class of Uncertain Hybrid Systems with Markov Jumping Parameters

For a class of uncertain hybrid systems with Markov jumping parameters,the sliding mode controller is designed on the basis of sliding mode control theory.On the assumptions that the system uncertainties are matched and also mismatched,the sufficient conditions are proposed respectively via LMIs(linear matrix inequalities) to guarantee the mean exponential stability of reduced-order sliding mode system.Corresponding to the two different system uncertainties,the sliding mode control strategy is designed,which is proved able to guarantee that the system trajectory reach the sliding surface in a finite time interval and keep up here thereafter.Simulation results demonstrate that the proposed controllers have good stability and robustness for uncertain hybrid linear Markov jumping systems.