观测器基于自适应滑模控制的半马尔科夫跳变系统

Observer based adaptive sliding mode control of semi-markov jump system

在许多工业系统中都存在时滞的现象,会使得系统控制性能降低,影响系统的稳定,在实际系统中,滑模依赖时变时滞更值得研究,而滑模控制对于外界干扰,非线性和参数不确定具有很好的鲁棒性,并且控制结构简单,视如上情况,针对观测器基于滑模控制的Markov切换系统,设计积分滑模面,并通过估计变量得到误差系统,通过解线性矩阵不等式使得闭环系统是渐进稳定的并且满足混合H_∞和无源的性能指标,并得到观测器和控制器的增益矩阵,最后,由仿真实例验证方法的有效性.

We disscussed observer-based sliding mode control problem of uncertain stochastic semi-Markovian switching system.Parameters were mode-dependent in the integral term,which can reduce the conservativeness.Linear matrix inequality condition was established to guarantee the stochastic stability.In addition,the sliding mode control can make the sliding surface reach in a limited time.From the numerical examples,we can testify the effectiveness and less conservativeness of the theoretical method.