Adaptive fuzzy-bilateral prescribed performance control for nonlinear systems with uncertain time delays and its application

Abstract

For a class of nonlinear systems with uncertain time delays, this paper proposes an adaptive fuzzy-bilateral prescribed performance control method. The bilateral prescribed performance control introduces a novel barrier function that provides a more constrained allowable set for system output errors, circumventing potential performance degradation caused by limited performance curve parameter settings. An adaptive fuzzy logic system parameter tuning strategy is designed to approximate unknown nonlinear functions and satisfy the prerequisite conditions of bilateral prescribed performance control. The synergistic integration of these two approaches addresses critical challenges in industrial scenarios, such as temperature control systems where system model parameters are difficult to obtain and control parameters require manual online adjustment in response to environmental variations. Finally, simulation experiments and practical industrial temperature control experiments were conducted, with multiple temperature target groups used to verify heating and cooling control performance. Experimental results demonstrate the effectiveness and superiority of the proposed method.