Optimal finite-horizon control with disturbance attenuation for uncertain discrete-time T-S fuzzy model based systems

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.