LMI-based H2 Control for T-S Fuzzy System with Hard Constraints

For T-S fuzzy systems with hard constraints and disturbances modeled by impulses, a constrained H2 control scheme in the framework of LMI (Linear Matrix Inequality) optimization is proposed in this paper. First, the H2 norm is chosen as measurement of disturbance attenuation level, and sufficient conditions for guaranteeing an H2 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.