Title :
The parallel projection operators of a nonlinear feedback system
Author :
Doyle, John C. ; Georgiou, Tryphon T. ; Smith, Malcolm C.
Author_Institution :
Dept. of Electr. Eng., California Inst. of Technol., Pasadena, CA, USA
Abstract :
The authors define and study a pair of nonlinear parallel projection operators associated with a nonlinear feedback system. The input-output L2-stability of a feedback system is shown to be equivalent to a coordinating of the input and output spaces, which is also equivalent to the existence of a pair of nonlinear parallel projection operators onto the graph of the plant and the inverse graph of the controller. These projections have equal norms whenever one of the feedback elements is linear. A bound on this norm is given in the case of passive systems with unity negative feedback
Keywords :
feedback; nonlinear control systems; stability; equal norms; input-output L2-stability; inverse graph; nonlinear feedback system; parallel projection operators; passive systems; unity negative feedback; Control systems; Feedback; Linear systems; Negative feedback; Nonlinear control systems; Open loop systems; Output feedback; Robust control; Shape control; Stability; Uncertainty; Weight control;
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
DOI :
10.1109/CDC.1992.371556
