Title :
Vibrational feedback control in the problem of absolute stability
Author :
Lee, S. ; Merkov, S.M.
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA
Abstract :
It is shown that for any rational G(s)=n(s)/d(s) with d(s) Hurwitz and deg d(s)-deg n(s)=1 there exists a linear dynamic periodic controller that ensures the infinite sector of absolute stability. This implies that additional dynamics lead to improvements in stability of nonlinear closed-loop systems with memoryless uncertainties
Keywords :
closed loop systems; feedback; nonlinear control systems; stability criteria; time-varying systems; Hurwitz functions; absolute stability; dynamic control; infinite sector; linear control; linear dynamic periodic controller; memoryless uncertainties; nonlinear closed-loop systems; nonlinear systems; rational functions; vibrational feedback control; Asymptotic stability; Closed loop systems; Feedback control; Feedback loop; Nonlinear dynamical systems; Nonlinear equations; Stability criteria; Testing; Uncertainty; Vibration control;
Conference_Titel :
Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
Conference_Location :
Tampa, FL
DOI :
10.1109/CDC.1989.70562
