不确定时滞离散系统的鲁棒输出反馈控制.pdf

Vol. 31, No. 5 ACTA AUTOMATICA SINICA September, 2005 Robust Output Feedback Control for Uncertain Discrete Systems with Time Delays1) LIU Bi-Yu1,2 GUI Wei-Hua1 1 (School of Information Science and Engineering, Central South University, Changsha 410083) 2 (School of Mathematical Science and Computational Technology, Central South University, Changsha 410083) (E-mail: biyuliu@) Abstract Based on design of an observer, the issue of dynamic output feedback control is studied for uncertain discrete systems with delays. A comparison theorem is given for nonlinear uncertain discrete systems with multiple time delays. Based on the comparison theorem with some inequalities, some delay-independent sufficient conditions for the robust stabilization of the systems are presented by means of output feedback. Key words Uncertain discrete systems, time delays, dynamic output feedback, comparison theo- rem 1 Introduction It is well known that state-feedback control is one of the important tools in control engineering. To achieve the state-feedback, the complete controllability of the states is necessary. However, in practice, it is difficult to measure the states of the system completely. So, dynamic output-feedback control is commonly used, since the output can be observed dynamically and easily. On the other hand, the limitation of measurements causes uncertainties in the systems. Thus, it leads to the robust control method. Recently, there have been many contributions on observer