Intelligent digital redesign for non‐linear systems: observer‐based sampled‐data fuzzy control approach

In this study, an intelligent digital redesign (IDR) technique is proposed for an observer‐based sampled‐data fuzzy controller of non‐linear systems. By using a Takagi–Sugeno fuzzy model, the pre‐designed analog and sampled‐data fuzzy controllers are supposed, and these discretised closed‐loop systems are obtained, respectively. Based on the IDR problem, the authors guarantee both stability and state‐matching conditions. Unlike the previous techniques, the proposed IDR not only improves the state‐matching performance using the state‐matching error cost function, but is also derived in the strict linear matrix inequality format. In a numerical example, the effectiveness of the proposed technique and the results of the improved performance are shown.