切换中立时滞系统基于观测器的混杂控制

Hybrid control of switched neutral time-delay systems via observer-based switching

利用多Lyapunov函数,对自治型切换中立系统,给出了可用观测器切换镇定的充分条件;给出了分段观测器的参数化表示法,建立了稳定化切换律的构造方案.在此基础上,把多Lyapunov函数方法同单Lyapunov函数方法相结合,将上述结果推广到含有控制的情况,同时给出了观测器切换律和控制器切换律.最后举例说明了所提方法的有效性.

Using multiple-Lyapunov-function technique, the sufficient conditions of stabilizing switched neutral timedelay systems via observer-based switching are derived. The parameterized characterization of the observer is provided and the corresponding switching strategies to guarantee the stability are constructed. Combining multiple-Lyapunov-function technique with single-Lyapunov-function technique, we generalize these conclusions to the system which contains controller, and give the switching strategies for the observer and the controller. Two examples are given to illustrate the effectiveness of the proposed methods.