Markov 跳变系统输出峰值控制

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.

Output Peak Performance Control of Markov Jump Systems

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.