Abstract
In this paper, a fuzzy adaptive tracking control for uncertain strict-feedback nonlinear systems with unknown bounded disturbances is proposed. The generalized fuzzy hyperbolic model (GFHM) with better approximation performance is used to approximate the unknown nonlinear function in the system. The dynamic surface control (DSC) is used to design the controller, which not only avoids the “explosion of complexity” problem in the process of repeated derivation, but also makes the control system simpler in structure and lower in computational cost because only one adaptive law is designed in the controller design process. Through the Lyapunov stability analysis, all signals in the closed loop system designed in this paper are semi-globally uniformly ultimately bounded (SGUUB). Finally, the effectiveness of the method is verified by a simulation example.
Highlights
As an effective tool to solve the uncertainty of nonlinear systems, fuzzy logic systems are widely used in adaptive control design [1] [2] because of their good approximation capabilities
The dynamic surface control (DSC) is used to design the controller, which avoids the “explosion of complexity” problem in the process of repeated derivation, and makes the control system simpler in structure and lower in computational cost because only one adaptive law is designed in the controller design process
The adaptive T-S fuzzy adaptive control method is proposed for the pure feedback nonlinear system in [4] and the uncertain MIMO
Summary
As an effective tool to solve the uncertainty of nonlinear systems, fuzzy logic systems are widely used in adaptive control design [1] [2] because of their good approximation capabilities. The GFHM based adaptive control for several classes of nonlinear systems is studied in [7] [8] [9]. In [19] [20], several adaptive fuzzy control methods based on strict feedback nonlinear systems with uncertain disturbances are proposed. Inspired by the previous studies, an improved fuzzy adaptive tracking control technique combining DSC method and GFHM approximator is proposed for a class of strict feedback nonlinear systems with dynamic disturbance signals. It avoids the problem of calculation expansion, and obtains higher tracking accuracy. It is proved that all signals of the closed-loop system are semi globally asymptotically stable by Lyapunov method
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