Title :
Existence of Volterra series in the design of feedback systems for nonchaotic motion
Author :
Raman, Vijay ; Liu, R.
Author_Institution :
Dept. of Electr. Eng., Florida Int. Univ., Miami, FL, USA
Abstract :
The design of a nonlinear feedback system that guarantees the existence of Volterra series representations for (transfer) operators is important for preserving the nonchaotic behavior of the system. Necessary and sufficient conditions for the existence of such operators are shown. The controller parameterization is not restrictive of the parameter. This result is demonstrated in an operator-theoretic framework that is shown to result from the system-theoretic problem under appropriate conditions
Keywords :
control system synthesis; feedback; nonlinear control systems; series (mathematics); Volterra series; control system synthesis; feedback systems; nonchaotic motion; nonlinear control systems; operator-theoretic framework; Chaos; Control systems; Feedback; Kernel; Nonlinear control systems; Nonlinear systems; Sufficient conditions; Vectors;
Conference_Titel :
Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
Conference_Location :
Tampa, FL
DOI :
10.1109/CDC.1989.70290
