Title :
On the capability of feedback for controlling uncertain nonlinear systems
Author :
Xie, Liang-Liang ; Guo, Lei
Author_Institution :
Inst. of Syst. Sci., Acad. Sinica, Beijing, China
Abstract :
Feedback is used primarily for reducing the effects of the plant uncertainty on the performance of control systems, and as such understanding the following questions is of fundamental importance: How much uncertainty can be dealt with by feedback? What are the limitations of feedback? How does the control performance depend quantitatively on the system uncertainty? How can the capability of feedback be enhanced if a priori information about the system structure is available? This paper presents some concrete answers to these basic questions for a typical class of discrete-time dynamical control systems with unknown nonlinear structure. In particular, it is found and proved that the maximum uncertainty that can be dealt with by feedback is described by a ball with radius 3/2+√2 in a normed function space, with the norm defined as a generalized Lipschitz norm
Keywords :
adaptive control; discrete time systems; feedback; nonlinear control systems; robust control; uncertain systems; adaptive control; control performance; discrete-time dynamical control systems; feedback; generalized Lipschitz norm; normed function space; plant uncertainty; robust control; uncertain nonlinear control systems; unknown nonlinear structure; Adaptive control; Automatic control; Concrete; Control systems; Ear; Feedback; Nonlinear control systems; Nonlinear systems; Robust control; Uncertainty;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.831363
