State-space adaptive control for nonlinear systems

Author(s):  
K. Janiszowski ◽  
M. Olszewski
1994 ◽  
Vol 27 (9) ◽  
pp. 145-148
Author(s):  
K. Janiszowski ◽  
M. Olszewski

Author(s):  
Assem Thabet

This article proposes a design of an adaptive control for nonlinear systems which satisfy the Lipschitz condition. The objective is the use of the new reformulation of reciprocal-state space form in adaptive control designs. The presented controller is composed of a state-derivative feedback approach with adaptive gains based on the Lyapunov stability theorem. The first control approach deals with the case of system stabilization. The second is an extension to the tracking problem. High performances are shown through real-time implementation with digital signal processing device (ARDUINO UNO R3 and MEGA 2560).


Author(s):  
Fei Shen ◽  
Xinjun Wang ◽  
Xinghui Yin

This paper investigates the problem of adaptive control based on Barrier Lyapunov function for a class of full-state constrained stochastic nonlinear systems with dead-zone and unmodeled dynamics. To stabilize such a system, a dynamic signal is introduced to dominate unmodeled dynamics and an assistant signal is constructed to compensate for the effect of the dead zone. Dynamic surface control is used to solve the “complexity explosion” problem in traditional backstepping design. Two cases of symmetric and asymmetric Barrier Lyapunov functions are discussed respectively in this paper. The proposed Barrier Lyapunov function based on backstepping method can ensure that the output tracking error converges in the small neighborhood of the origin. This control scheme can ensure that semi-globally uniformly ultimately boundedness of all signals in the closed-loop system. Two simulation cases are proposed to verify the effectiveness of the theoretical method.


2021 ◽  
pp. 1-1
Author(s):  
Duc M. Le ◽  
Max L. Greene ◽  
Wanjiku A. Makumi ◽  
Warren E. Dixon

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