Title :
Stable kernel representations and the Youla parameterization for nonlinear systems
Author :
Paice, A.D.B. ; Van der Schaft, A.J.
Author_Institution :
Inst. fur Dynamische Syst., Bremen Univ., Germany
Abstract :
In this paper a general approach is taken to yield a characterization of the class of stable plant controller pairs, which is a generalization of the Youla parameterization for linear systems. This is based on the idea of representing the input-output pairs of the plant and controller as elements of the kernel of a related operator, denoted the kernel representation of the system. Results giving one method of deriving a kernel representation for a nonlinear plant with a general state space description are presented
Keywords :
nonlinear control systems; stability; state-space methods; Youla parameterization; general state-space description; input-output pairs; nonlinear systems; stable kernel representations; stable plant controller pairs; Closed loop systems; Control systems; Delay systems; Kernel; Linear systems; Mathematics; Nonlinear control systems; Nonlinear systems; Stability; State-space methods;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.410856
