Title :
Analysis of stabilizing control of discrete-time fuzzy bilinear system
Author :
Guo, Zhang ; Chunxia, Duan ; Yanhua, Zhao
Author_Institution :
Dept. of Electr. Eng. & Autom., Luoyang Inst. of Sci. & Technol., Luoyang, China
Abstract :
This paper presents stability analysis and controller synthesis for discrete-time fuzzy bilinear system with single-input and multiple-input, respectively. Based on the parallel distributed compensation (PDC) method, some sufficient conditions are derived to guarantee the global asymptotically stability of the overall fuzzy system. The conditions are represented in terms of linear matrix inequality (LMI) and the corresponding controller can be obtained by solving a set of linear matrix inequalities. Numerical examples are given to show the effectiveness of the presented methods.
Keywords :
asymptotic stability; bilinear systems; compensation; control system synthesis; discrete time systems; fuzzy control; linear matrix inequalities; LMI; PDC method; controller synthesis; discrete time fuzzy bilinear system; global asymptotic stability; linear matrix inequality; multiple-input system; parallel distributed compensation method; single-input system; stability analysis; sufficient conditions; Control systems; Fuzzy control; Linear matrix inequalities; Mathematical model; Nonlinear systems; Stability analysis; asymptotically stability; discrete-time fuzzy bilinear system; fuzzy control; linear matrix inequality (LMI);
Conference_Titel :
Control and Decision Conference (CCDC), 2012 24th Chinese
Conference_Location :
Taiyuan
Print_ISBN :
978-1-4577-2073-4
DOI :
10.1109/CCDC.2012.6244432
