Sampled-data Control of Fuzzy Systems Based on the Intelligent Digital Redesign Technique: An Input-delay Approach

In this paper, a novel intelligent digital redesign (IDR) method for a Takagi-Sugeno fuzzy system is proposed based on the guaranteed cost method. The objective of the IDR is to determine a sample-data data gain that achieves the same performance as a given continuous-time controller. Unlike previous works, we use the state-matching error cost function and develop an IDR technique without the use of any discretization methods. To this end, a sufficient condition guaranteeing both the asymptotic stabilization of the error dynamics model and the minimization of the upper bound of the error cost function is formulated in terms of linear matrix inequalities based on the input-delay approach. Finally, a simulation example validates the superiority of the proposed method.