PKTP有限时间跳变系统H∞可靠控制

Reliable Finite-Time H_∞ Control for Stochastic MJS with Partially Known Transition Probabilities

针对具有执行器故障的马尔科夫跳变系统,在状态转移概率部分未知的情形下,研究了其有限时间控制器和观测器设计问题。通过扩展系统状态,将系统转换为具有跳变参数的广义描述系统,基于此广义描述系统设计系统观测器和控制器,给出系统有限时间有界性的充分条件。采用自由权重的方法和解耦技术,保证所得的线性矩阵不等式具有更小的保守性。通过线性矩阵不等式(LMIs)求解,获得状态观测器和状态反馈控制器的增益矩阵。仿真实例说明,所提出的设计方法的有效性。

For Markov jump systems with actuator failures, the paper studied the design of finite-time controllers and observers for Markov jump systems with unknown state transition probabilities. By extending the state of the system, the system was transformed into a generalized descriptor system with jump parameters. Based on this generalized descriptor system, the observer and controller of the system were designed, and the sufficient conditions for the finite-time boundedness of the system were given. The method of free weight and decoupling technique were used to ensure that the linear matrix inequalities obtained are less conservative. The gain matrix of the state observer and the state feedback controller was obtained by solving the linear matrix inequality(LMIs). A simulation example shows the effectiveness of the proposed design method.