Title :
Robust exponential stabilization of parameterized families of LTI systems by means of nonlinear time-varying state feedback
Author :
Ho-Mock-Qai, Bertha
Author_Institution :
Centre d´´Etude de la Navigation Aerienne, Toulouse, France
Abstract :
We consider parameterized families of controlled LTI (linear time invariant) systems which depend on a real parameter that lies in a closed interval of R. Given any such family, we show that, if each system of the family is asymptotically stabilizable by means of LTI state feedback, then there exists a continuous time-varying state feedback law v(t, x) which globally exponentially stabilizes all the systems in the family
Keywords :
asymptotic stability; linear systems; nonlinear control systems; robust control; state feedback; time-varying systems; LTI systems; continuous time-varying state feedback law; globally exponential stability; linear time invariant systems; nonlinear time-varying state feedback; parameterized families; robust exponential stabilization; Control systems; Eigenvalues and eigenfunctions; Linear feedback control systems; Linear systems; Navigation; Nonlinear control systems; Robust control; Robustness; State feedback; Time varying systems;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.657777
