讨论了一类具有Markov跳跃参数的不确定混合线性系统的滑模控制问题。通过线性矩阵不等式方法,给出了系统在滑模面上均方意义下指数稳定的充分条件。当匹配参数不确定项范数上界未知时,提出了一种参数自适应滑模控制器,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,所设计的自适应滑模控制器对匹配参数不确定性具有的鲁棒性。
The sliding mode control problem of a class of uncertain hybrid linear systems with Markovian jumping parameters is discussed. By using linear matrix inequalities approach, the sufficient conditions are proposed to guarantee the mean exponentially stability of reduced -order sliding mode system. When system matching uncertain parameters satisfies unknown norm bounds, an adaptive sliding mode controller is proposed to guarantee that the trajectory of system arrives at the sliding surface in finite time interval and is kept here thereafter. The simulation results show that the adaptive sliding mode controller is robust for matching uncertain parameters.