Title :
A remark on partial-state feedback stabilization of cascade systems using small gain theorem
Author :
Lin, Wei ; Gong, Qi
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Case Western Reserve Univ., Cleveland, OH, USA
fDate :
3/1/2003 12:00:00 AM
Abstract :
This paper points out that input-to-state stability of zero dynamics having a continuously differentiable (instead of locally Lipschitz continuous) gain function suffices to guarantee the existence of globally stabilizing, smooth partial-state feedback control laws for cascade systems, without imposing any extra condition. This conclusion is proved via the small gain theorem and a novel variable separation technique combined with feedback domination design.
Keywords :
Lyapunov methods; asymptotic stability; cascade systems; closed loop systems; state feedback; Lyapunov function; asymptotic stability; cascade systems; closed-loop system; differentiable gain function; global stabilization; input-to-state stability; partial-state feedback; small gain theorem; Automatic control; Control systems; Design methodology; Feedback control; Polynomials; Stability; State feedback;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2003.809166