Markov跳变系统输出峰值控制

Output Peak Performance Control of Markov Jump Systems

针对具有时间演化和事件驱动两类动态机制的Markov线性跳变系统,研究其被控输出的峰值控制问题,当系统外部输入能量有界时,保证系统输出的峰值在给定的上限内.从工程实现的角度,利用随机稳定性分析,以一种次优的峰值指标代替最优性能,反馈控制器的构造依赖于系统模态,可直接利用耦合线性矩阵不等式求解.仿真示例对结果进行了验证,并对比讨论了应用鲁棒控制思想的控制器设计情形,说明模态跳变转移信息对系统指标与控制的影响.

For Markov linear jump systems which involve both time-evolving and event-driven mechanisms, the peak index of controlled output is discussed. While the energy of external input signals is bounded, the peak of controlled output signals is restricted under a selected level. From the view of engineering practice, applying stochastic stability analysis, a suboptimal peak index is adopted instead of the optimal performance. The mode-dependent controller are then obtained in terms of a set of solutions of coupled linear matrix inequalities（LMI）. Simulation examples illustrate the results. Compared with the design along the robust methods, the performance and control of jump systems are influenced by transition probability.