scholarly journals Switching Control in the Presence of Constraints and Unmodeled Dynamics

10.5772/5397 ◽  
2008 ◽  
Author(s):  
Vojislav Filipovic
Keyword(s):  
Switching Control ◽  
Unmodeled Dynamics

Invariance Control of a Class of Cascade Nonlinear Systems With Input Unmodeled Dynamics

2013 ◽  
Author(s):  
Caiyun Wu ◽  
Georgi M. Dimirovski ◽  
Jun Zhao ◽  
Ruicheng Ma
Keyword(s):  
Nonlinear Systems ◽  
State Space ◽  
Design Procedure ◽  
Switching Control ◽  
Unmodeled Dynamics ◽  
Sufficient Condition ◽  
Asymptotically Stable ◽  
Positive Invariance ◽  
Linear Subsystem ◽  
Invariance Control

The paper addresses the invariance control for a class of cascade nonlinear systems with unmodeled dynamics appearing at the input. A sufficient condition for the robust invariance control of the system under consideration is derived. Based on the methods of passivity and switching control of states of the linear subsystem, both the stabilization of the linear subsystem and the positive invariance of the prespecified region in state space can be ensured. Under some additional assumptions, the whole system is semi-global asymptotically stable. A simulation example is given to demonstrate the effectiveness of the proposed design procedure.

scholarly journals Data-Based Virtual Unmodeled Dynamics Driven Multivariable Nonlinear Adaptive Switching Control

2011 ◽  
Vol 22 (12) ◽  
pp. 2154-2172 ◽  
Author(s):  
Tianyou Chai ◽  
Yajun Zhang ◽  
Hong Wang ◽  
Chun-Yi Su ◽  
Jing Sun
Keyword(s):  
Switching Control ◽  
Unmodeled Dynamics ◽  
Adaptive Switching Control

Adaptive control based on Barrier Lyapunov function for a class of full-state constrained stochastic nonlinear systems with dead-zone and unmodeled dynamics

2021 ◽  
pp. 014233122098563
Author(s):  
Fei Shen ◽  
Xinjun Wang ◽  
Xinghui Yin
Keyword(s):  
Adaptive Control ◽  
Nonlinear Systems ◽  
Lyapunov Function ◽  
Dead Zone ◽  
Small Neighborhood ◽  
Unmodeled Dynamics ◽  
Stochastic Nonlinear Systems ◽  
Dynamic Surface ◽  
Barrier Lyapunov Function ◽  
Full State

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.

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