一类Markov跳变系统的鲁棒分布式预测控制

Robust Distributed Model Predictive Control of a Class of Markov Jump System

针对一类具有多面体不确定性的Markov跳变系统,研究其鲁棒分布式模型预测控制问题.将Markov跳变系统分解成若干个子系统,对每个子系统分别进行控制.为了有效地减少在线计算量,降低计算复杂度,本文采用双模预测控制的方法,所设计的控制器保证了闭环系统的均方稳定性.最后仿真算例验证了所提控制算法的有效性.

The problem of robust distributed predictive control for a class of Markov jump system with polyhedral uncertainties was researched. The Markov jump system was decomposed into several subsystems, each of which was controlled respectively. In order to reduce the online computation and the computational complexity effectively, this paper used the dual-mode predictive control method, so the mean square stability of the closed-loop system was guaranteed. Finally, the simulation examples were given to verify the effectiveness of the proposed control algorithm.