不确定时滞关联大系统的分散鲁棒可靠H_∞控制

Decentralized robust reliable H_∞ control of uncertain interconnected systems with delays in subsystems interconnection

综合考虑了工程实际中经常遇到的参数不确定性和控制元件失效2类典型问题.针对一类离散时间不确定时滞关联大系统,通过比较各子系统正常工作时和失效时的性能准则,给出了其分散鲁棒可靠状态反馈控制器的一种设计方法.该方法能够保证对于给定范围内的任意参数摄动和控制通道失效,受控系统都是内部稳定且满足指定的性能指标.结果基于线性矩阵不等式,便于计算机求解和参数优化.另外,对大系统可靠性控制与鲁棒性控制间的联系进行了分析.所作数值例子和相应的仿真结果说明了这个方法的有效性.

Two kinds of typical problems frequently encountered in the control engineering were investigated, i.e. parameter uncertainty and control component failure. For a class of discrete-time uncertain interconnected systems with delays in subsystems interconnection, a linear matrix inequality (LMI)-based design methodology of decentralized robust reliable state-feedback controller was given by way of comparing the Lyapunov performance criterion of the subsystem operating normally with that of the same subsystem but suffering failure. The resulting control systems are robust and reliable in that guaranteed stability and performance were provided not only for any admissible parameter perturbation, but also in case of control-channel outages. The apparently linear structure of the provided condition gives facilities for searching its numerical solution on computer and optimizing the performance specifications. Also, the relationship between reliable control and robust control of the large scale systems was analyzed with an interesting result obtained. A numerical example and the corresponding simulation was done to show the effectiveness of the proposed design method.