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针对具有不确定的离散Markov跳变系统,研究其滑模状态反馈控制问题.考虑系统的不确定满足匹配条件,以线性矩阵不等式形式给出了离散滑模面存在的充分条件,设计了具有指数趋近律的滑模控制器,保证了系统状态到达滑模面并在滑模带上随机镇定.数值仿真验证了所提出的控制方案的有效性.
Aiming at the discrete-time Markov transition system with uncertainties, the sliding mode state feedback control problem is studied. Sufficient conditions for the existence of discrete sliding mode surfaces are given in the form of linear matrix inequalities considering the system uncertainties and matching conditions. The sliding mode controller approaching the law ensures that the state of the system reaches the sliding mode surface and stochastically stabilizes on the sliding mode. Numerical simulations verify the effectiveness of the proposed control scheme.