Static Output-Feedback Integral Sliding Mode for T-S Fuzzy Descriptor Systems with Partly Unmeasurable Premise Variables

This paper focuses on the problem of designing static output-feedback sliding mode controllers for T-S fuzzy descriptor systems with partly unmeasurable premise variables. A canonical form-based static output-feedback integral sliding mode controller design method is proposed, where only the measurable premise variables are used. Measurable premise variables and unmeasurable premise variables in the T-S fuzzy descriptor are separated. The designing matrix in the output-based integral-type switching function is solved by a canonical form-based method. Both the finite-time reachability of the sliding surface and the asymptotic stability of the resulting closed-loop system are proved. Finally, an example is given to illustrate the effectiveness of proposed method.