Robust reference tracking control design for nonlinear distributed parameter systems: Fuzzy approach

Abstract

This paper addresses a robust reference tracking control problem for nonlinear distributed parameter systems with external disturbances and measurement noises. An infinitedimensional fuzzy state-space model is introduced to represent the nonlinear distributed parameter system. This fuzzy state-space model was separated into a finite-dimensional fuzzy state-space controlled subsystem with an infinite-dimensional fuzzy state-space residual subsystem. A finite-dimensional robust fuzzy observer-based reference tracking controller is proposed to control the nonlinear distributed parameter system to track a desired reference trajectory based on the finite-dimensional fuzzy state-space controlled subsystem. Finally, the criterion for the robust tracking control design is proven via the dissipative theory approach.