Title :
Optimal finite-horizon control with disturbance attenuation for uncertain discrete-time T-S fuzzy model based systems
Author :
Wen-Ren Homg ; Jyh-Horng Chou ; Chun-Hsiung Fang
Author_Institution :
Dept. of Electr. Eng., Nat. Kaohsiung Univ. of Appl. Sci., Kaohsiung, Taiwan
Abstract :
In this paper, the sufficiency condition for disturbance attenuation level for uncertain discrete-time T-S fuzzy model-based system is derived by non-quadratic Lypaunov function (NQLF) and is expressed in terms of LMIs. And the quadratic finite horizon performance index optimal robust control with disturbance attenuation level for uncertain T-S fuzzy system can be formulated into static constrained optimization problem. Then, for static constrained optimization problem, the genetic algorithm is employed to search feedback gain for optimal finite quadratic performance index of uncertain discrete-time TS fuzzy model. Thus, the problem solving can be greatly simplified.
Keywords :
Lyapunov methods; discrete time systems; feedback; fuzzy control; genetic algorithms; linear matrix inequalities; optimal control; robust control; uncertain systems; LMIs; NQLF; Takagi-Sugeno systems; disturbance attenuation level; feedback gain; genetic algorithm; linear matrix inequalities; nonquadratic Lypaunov function; optimal finite quadratic performance index; optimal finite-horizon control; optimal robust control; static constrained optimization problem; uncertain discrete-time T-S Fuzzy model; Attenuation; Fuzzy systems; Lyapunov methods; Optimization; Performance analysis; Robustness; Uncertainty; H∞ control; LMI; T-S fuzzy models; finite horizon optimal control; hybrid-Taguchi genetic algorithm; non-quadrtaic Lyapunov function;
Conference_Titel :
Fuzzy Systems (FUZZ-IEEE), 2014 IEEE International Conference on
Conference_Location :
Beijing
Print_ISBN :
978-1-4799-2073-0
DOI :
10.1109/FUZZ-IEEE.2014.6891566
