Extended Sliding Mode Observer for Delayed T-S Fuzzy Control with Non-PDC Approach

We investigate the issue of implementing a sliding mode observer (SMO) on a continuous-time T-S fuzzy system by multiple time-varying delays. Models for estimating state information rely on state observers since state data may not
be fully available in practice. Additionally, we implement the phenomena of non-parallel distribution compensation (N-PDC) for the observer-based SMO. Furthermore, an analysis of the performance of H∞, L2−L∞, dissipativity, and passivity within a unified framework is provided by a concept of dissipative control. To construct two sliding surfaces using the SMO gain matrix, we first construct the sliding surfaces based upon two integral-type. Then, we employ a new fuzzy Lyapunov stability and sliding mode observer theory to define a few additional parameters generating asymptotically stable closed-loop performances with the predefined sliding shallow. The sliding mode controller and the gained weighting matrices are obtained through the convex optimization of the matrix based on the new error system. To conclude, power system (ship electric propulsion) example follows to demonstrate the potential scheme.