Digital controller design for fuzzy systems with packet loss: Intelligent digital redesign approach

In this paper, a novel digital controller is proposed for the nonlinear systems with packet loss using the intelligent digital redesign (IDR). For the fuzzy controller, the nonlinear system is represented by a Takagi-Sugeno (T-S) fuzzy model. The IDR technique is to convert a pre-designed analog controller into an equivalent digital controller. For this technique, the discretized models of the analog and digital closed-loop system are presented, respectively. The digital control gain is obtained to minimize the norm error between the state of the analog and digital closed-loop systems and stabilize the digital closed-loop system. Its sufficient conditions are derived in terms of linear matrix inequalities (LMIs). Finally, a numerical example is provided to verify the effectiveness of the proposed technique.