时滞切换系统动态反馈H_∞控制

Dynamic feedback H-infinity control of switched systems with time-delay

对于由若干线性时滞子系统构成的切换系统,考虑了动态反馈控制与切换策略的设计,以实现H∞性能的优化．利用其连续性不受切换行为影响的Lyapunov-Krasovskii泛函构造方式,并结合闭环子系统的适当变换,导出了与时滞相关的控制器及切换策略的存在性判据．通过参数代换与矩阵相似变换,将此判据等价地转化为线性矩阵不等式,从而解得泛函与控制器参数．仿真结果验证了方法的有效性．

For the switched system composed of linear subsystems with time-delay, the synthesis of dynamic feedback control and switching strategy is concerned with the optimization of H-infinity performance. Combining with the proper transformation of closed subsystem, an improved construction of Lyapunov-Krasovskii functional preserving the continuity free from switching actions is employed, and the delay-dependent criterion is established for the existence of controllers and switching strategy. Based on the technique of parameter transformation and matrix transformation, the proposed criterion is then equivalently reformulated in term of linear matrix inequality （LMI） from which the parameters of the functional and controllers are explicitly presented. Finally, a numerical example is given to illustrate the proposed method.