Robust stabilization and performance recovery of nonlinear systems with input unmodeled dynamics

2008 ◽  
Author(s):  
Aranya Chakrabortty ◽  
Murat Arcak
Keyword(s):  
Nonlinear Systems ◽  
Robust Stabilization ◽  
Unmodeled Dynamics ◽  
Performance Recovery ◽  
And Performance

scholarly journals Robust Stabilization Approach and Performance via Static Output Feedback for a Class of Nonlinear Systems

2009 ◽  
Vol 2009 ◽  
pp. 1-22 ◽  
Author(s):  
Neila Bedioui ◽  
Salah Salhi ◽  
Mekki Ksouri
Keyword(s):  
Nonlinear Systems ◽  
Output Feedback ◽  
Robust Stabilization ◽  
Nonlinear Function ◽  
Static Output Feedback ◽  
Additional Degree ◽  
Lmi Optimization ◽  
And Performance ◽  
The Stability ◽  
Static Output

This paper deals with the stability and stabilization problems for a class of discrete-time nonlinear systems. The systems are composed of a linear constant part perturbated by an additive nonlinear function which satisfies a quadratic constraint. A new approach to design a static output feedback controller is proposed. A sufficient condition, formulated as an LMI optimization convex problem, is developed. In fact, the approach is based on a family of LMI parameterized by a scalar, offering an additional degree of freedom. The problem of performance taking into account an criterion is also investigated. Numerical examples are provided to illustrate the effectiveness of the proposed conditions.

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.

scholarly journals Data-Driven Robust Stabilization with Robust DOA Enlargement for Nonlinear Systems

2020 ◽  
Vol 53 (2) ◽  
pp. 5877-5882
Author(s):  
Chaolun Lu ◽  
Yongqiang Li ◽  
Zhongsheng Hou ◽  
Yuanjing Feng ◽  
Yu Feng ◽  
...  
Keyword(s):  
Nonlinear Systems ◽  
Robust Stabilization ◽  
Data Driven
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