Title :
Static output feedback control synthesis for nonlinear polynomial fuzzy systems using a sum of squares approach
Author :
Sanjaya, Bomo Wibowo ; Trilaksono, Bambang Riyanto ; Syaichu-Rohman, Arief
Author_Institution :
Dept. of Electr. Eng., Bandung Inst. of Technol., Bandung, Indonesia
Abstract :
This paper addresses the static output feedback control synthesis problem for nonlinear polynomial fuzzy systems using a sum of squares (SOS) approach. The open-loop nonlinear systems is represented in the polynomial fuzzy model. By considering the closed-loop system in the output feedback control scheme and the polynomial Lyapunov functions that contain quadratic Lyapunov functions as special cases, sufficient conditions for a solution to the problems of stability analysis and control design can be derived in the representation form of the SOS. It can be numerically solved via the SOSTOOLS.
Keywords :
Lyapunov methods; closed loop systems; control system synthesis; feedback; fuzzy systems; nonlinear control systems; stability; SOSTOOLS; closed-loop system; nonlinear polynomial fuzzy systems; open-loop nonlinear systems; polynomial Lyapunov functions; polynomial fuzzy model; quadratic Lyapunov functions; stability analysis; static output feedback control synthesis; sum of squares approach; Fuzzy control; Nonlinear systems; Numerical models; Output feedback; Polynomials; Stability analysis; Polynomial fuzzy system; Static output feedback; nonlinear system; sum of squares;
Conference_Titel :
Instrumentation, Communications, Information Technology, and Biomedical Engineering (ICICI-BME), 2011 2nd International Conference on
Conference_Location :
Bandung
Print_ISBN :
978-1-4577-1167-1
DOI :
10.1109/ICICI-BME.2011.6108643
