scholarly journals Function Approximation-based Sliding Mode Adaptive Control for Time-varying Uncertain Nonlinear Systems

10.5772/6427 ◽  
2009 ◽  
Author(s):  
Shuang Cong ◽  
Yanyang Liang ◽  
Weiwei Shang
Keyword(s):  
Adaptive Control ◽  
Nonlinear Systems ◽  
Function Approximation ◽  
Sliding Mode ◽  
Time Varying ◽  
Uncertain Nonlinear Systems

scholarly journals Non-Recursive Adaptive Control Design Methodology for Nonlinear Systems With Mismatched Time-Varying Disturbances

2021 ◽  
Author(s):  
Xin Dong ◽  
Zhang Chuanlin ◽  
Chenggang Cui
Keyword(s):  
Adaptive Control ◽  
Stability Analysis ◽  
Nonlinear Systems ◽  
Sliding Mode ◽  
Design Procedure ◽  
Control Design ◽  
Original System ◽  
Time Varying ◽  
Transient Time ◽  
Control Scheme

Abstract This paper proposes a non-recursive adaptive control scheme for a class of lower-triangular nonlinear systems with mismatched time-varying disturbances. As a result, an exact tracking control scheme is constructed straightforwardly from the system in a novel non-recursive synthesis manner. Firstly, with the help of higher-order sliding mode observer (HOSMO), the original system is delicately transformed into an equivalent stabilizable system. Then, a non-recursive stabilizer with a simple update mechanism for the dynamic gain can be derived. Subsequently, a rigorous stability analysis shows the theoretical justification of the proposed design framework. New characteristics of the proposed algorithm are mainly twofold: 1) The proposed adaption mechanism could substantially adjust the transient-time performance with the presence of different levels of disturbances. 2) The composite control design procedure is essentially detached with stability analysis, which could largely facilitate practical implementations.

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