A Control Approach for Affine T-S Fuzzy Models with Uncertainty

While the affine T-S fuzzy model offers additional accuracy in terms of describing system dynamics compared to the regular T-S fuzzy model, the problem is that the resulting LMIs for the controller design are structurally infeasible without introducing additional inequalities. In this paper, first, we partition the state space into some cells and use the properties of the cells away from the origin to obtain favourable quadratic inequalities. Then two fuzzy controllers are given based on the partition. In addition, uncertainty in the system is also considered in the affine T-S fuzzy model. Finally, simulation results are provided for the verification of the proposed controllers.