On the Capability of Feedback for Unknown Nonparametric Systems with Input Delay
It is well-known that feedback is a central concept in control systems,and that to understand the capability of the feedback mechanism is a fundamental issue in control theory.In general,the feedback capability depends on the nature of uncertainty,the structure of nonlinearity,and the timely use of information.Although much effort has been made in understanding the maximum capability of feedback in recent years,the case where there is a pure time-delay in the feedback channel remains to be unexplored,which appears to be highly nontrivial.In this paper,we shall investigate the capability of feedback mechanism for a basic class of discrete-time uncertain nonparametric nonlinear dynamical systems with delayed feedback,and provide a sufficient condition for global feedback stabilization in terms of the Lipschitz constant for the uncertain class of Lipschitz functions,and reveal how the time-delay in the feedback channel influences the feedback capability.
feedback capability time-delay nonlinear systems nonparametric systems
Man Luo Lei Guo
Key Laboratory of Systems and Control,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,P. R. China
国际会议
The 33th Chinese Control Conference第33届中国控制会议
南京
英文
2604-2607
2014-07-28(万方平台首次上网日期,不代表论文的发表时间)