LMI-based H2 Control for T-S Fuzzy System with Hard Constraints
Gao Xingquan, Shuang Guo · International Journal of Control and Automation · 2015
For T-S fuzzy systems with hard constraints and disturbances modeled by impulses, a constrained H 2 control scheme in the framework of LMI (Linear Matrix Inequality) optimization is proposed in this paper.First, the H 2 norm is chosen as measurement of disturbance attenuation level, and sufficient conditions for guaranteeing an H 2 performance are given.Then, under the bound assumption of the disturbance energy, another fixed ellipsoid containing all perturbed trajectories is confirmed.Finally, hard constraints are enforced and translated into LMI conditions.The multi-objective design is lead to solving an optimization problem with LMI constraints.Simulation results for application in TORA system are discussed.