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

Author(s):  
Aranya Chakrabortty ◽  
Murat Arcak
2009 ◽  
Vol 2009 ◽  
pp. 1-22 ◽  
Author(s):  
Neila Bedioui ◽  
Salah Salhi ◽  
Mekki Ksouri

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.


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.


2020 ◽  
Vol 53 (2) ◽  
pp. 5877-5882
Author(s):  
Chaolun Lu ◽  
Yongqiang Li ◽  
Zhongsheng Hou ◽  
Yuanjing Feng ◽  
Yu Feng ◽  
...  

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