Output Feedback Fuzzy of Continuous-Time Nonlinear Systems

In view of some practical constraints, the full system states are generally not measurable. This chapter aims to propose some new output feedback SMC design methods for continuous-time nonlinear 1-D systems subject to exogenous disturbance and mismatched uncertainties based on T-S fuzzy affine models. As the T-S fuzzy affine models have more enhanced approximation competence, the output feedback SMC problem for continuous-time nonlinear systems through T-S fuzzy affine models and piecewise quadratic Lyapunov functions (PQLFs) is a very important and challenging research topic. Associated with sliding surface, a singular system is adopted to describe the sliding mode dynamical features. Through CQLF and PQLFs , respectively, new stability analysis results on the sliding motion are proposed, and the sliding surface gain can be obtained in a convex optimization setup. Then some new output feedback SMC design methods are proposed to guarantee the finite-time reachability of the sliding surface. Finally, simulation studies are provided to show the effectiveness of the proposed design methods.