Title :
Homogeneous feedback laws in dimension three
Author :
Kawski, Matthias
Author_Institution :
Dept. of Math., Arizona State Univ., Tempe, AZ, USA
Abstract :
Consideration is given to single-input systems on R3 that are small-time locally controllable. The inherent symmetries of the standard nilpotent approximations to such systems are used to show how to construct Holder continuous feedback laws that respect the symmetries and asymptotically stabilize the control system. An explicit example is worked in detail, and a necessary condition for the existence of such stabilizing feedback laws is obtained
Keywords :
control system synthesis; feedback; stability; 3D homogeneous feedback laws; Holder continuous feedback laws; asymptotic stability condition; single-input systems; small-time locally controllable systems; standard nilpotent approximations; symmetries; Control systems; Eigenvalues and eigenfunctions; Equations; Linear feedback control systems; Resonance; Terminology;
Conference_Titel :
Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
Conference_Location :
Tampa, FL
DOI :
10.1109/CDC.1989.70364
