研究了一类带有 Markovian 跳变参数和执行器故障的切换 LPV 系统的有限时间可靠控制问题. 考虑的子系统都是参变子系统, 更具有一般性. 同时把此类系统要求转移概率完全已知的条件放宽到了转移概率部分未知的情形, 具有更少的保守性. 首先, 给出了保证带有 Markovian 跳变参数的切换 LPV 系统有限时间稳定的充分条件. 然后, 提出了带有 Markovian 跳变参数和执行器故障的切换 LPV 系统的有限时间可靠控制问题, 并设计了一个有限时间可靠控制器. 最后, 数值算例说明了所得结果的有效性.

The finite time reliable control problem for the switched LPV systems with Markovian jump parameters and actuator failures is investigated. The subsystems of the switched systems are described by LPV dynamics, which can describe more general a class systems. A key point of this work relaxes the special requirement of completely known transition rates to more general form that transition rates are incomplete, which may lead to less conservativeness. Firstly, for the switched LPV systems with Markovian jump parameters, the sufficient condition, ensuring the finite time stability, is developed. Secondly, the finite time reliable control problem for the switched LPV systems with Markovian jump parameters and actuator failures is presented, and a finite time reliable controller is designed. Finally, a numerical example is given to demonstrate the applicability of the main results.