Non-fragile control for fuzzy bilinear systems

The Takagi-Sugeno fuzzy bilinear system is known to be a great tool of describing physical systems and represents a wide class of nonlinear systems. Hence, its control design is important. In practical control systems, there are chances that malfunction in actuator happens and an uncertain value of the control input may be applied. To avoid such cases, 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 delay, is proposed. Conditions for the solvability of the non-fragile control are given in terms of linear matrix inequalities (LMIs).