Non-fragile control for uncertain Takagi-Sugeno fuzzy bilinear systems with delays

Abstract

The Takagi-Sugeno fuzzy bilinear system is known to be a great tool of describing physical systems and allows representing a wide class of nonlinear systems and hence its control design is important. In practical control, there are chances that malfunction in actuator happens and an uncertain value of the control input may be applied. Hence, controller gain variations should be considered in the control design. In this paper, non-fragile control design, which takes care of uncertainty in control gain, for the Takagi-Sugeno fuzzy bilinear systems with time-varying delays and system uncertainties, is proposed. Conditions for the solvability of the non-fragile control are given in terms of linear matrix inequalities (LMIs).