Title :
Controller Redesign via Sum of Squares Programming
Author :
Fujisaki, Yasumasa ; Miyoshi, Eri
Author_Institution :
Dept. of Comput. & Syst. Eng., Kobe Univ.
Abstract :
A controller redesign is considered for a class of nonlinear plants. A locally stabilizing state feedback and the corresponding Lyapunov function are assumed to be given. Then, the Lyapunov function is fixed for ensuring a performance, while the state feedback is redesigned for enlarging the asymptotic stability region of the origin. This redesign can be done efficiently by using sum of squares programming if the plant and the controller are characterized by polynomial functions of the state and/or the control input
Keywords :
Lyapunov methods; asymptotic stability; control system synthesis; nonlinear control systems; polynomials; state feedback; Lyapunov function; asymptotic stability region; controller redesign; nonlinear plants; polynomial functions; square programming; state feedback; Asymptotic stability; Control systems; Feedback control; Functional programming; Iterative algorithms; Lyapunov method; Nonlinear control systems; Polynomials; State feedback; Systems engineering and theory; Controller redesign; Lyapunov function; asymptotic stability region; semidefinite programming; sum of squares of polynomials;
Conference_Titel :
SICE-ICASE, 2006. International Joint Conference
Conference_Location :
Busan
Print_ISBN :
89-950038-4-7
Electronic_ISBN :
89-950038-5-5
DOI :
10.1109/SICE.2006.314999
