Robust H∞ filtering for a class of discrete-time Lipschitz nonlinear systems

Automatica ◽  
2019 ◽  
Vol 103 ◽  
pp. 69-80 ◽  
Author(s):  
Carlos E. de Souza
Keyword(s):  
Nonlinear Systems ◽  
Discrete Time ◽  
Lipschitz Nonlinear Systems

scholarly journals Robust Preview Control for a Class of Uncertain Discrete-Time Lipschitz Nonlinear Systems

2018 ◽  
Vol 2018 ◽  
pp. 1-15 ◽  
Author(s):  
Xiao Yu ◽  
Fucheng Liao ◽  
Jiamei Deng
Keyword(s):  
Nonlinear Systems ◽  
Discrete Time ◽  
Tracking Error ◽  
Reference Signal ◽  
Original System ◽  
Linear Matrix ◽  
Preview Control ◽  
Lipschitz Nonlinear Systems ◽  
Error System ◽  
Discrete Integrator

This paper considers the design of the robust preview controller for a class of uncertain discrete-time Lipschitz nonlinear systems. According to the preview control theory, an augmented error system including the tracking error and the known future information on the reference signal is constructed. To avoid static error, a discrete integrator is introduced. Using the linear matrix inequality (LMI) approach, a state feedback controller is developed to guarantee that the closed-loop system of the augmented error system is asymptotically stable with H∞ performance. Based on this, the robust preview tracking controller of the original system is obtained. Finally, two numerical examples are included to show the effectiveness of the proposed controller.

scholarly journals Observer analysis and synthesis for Lipschitz nonlinear systems under discrete time-varying measurements

2017 ◽  
Vol 50 (1) ◽  
pp. 2941-2946 ◽  
Author(s):  
Etienne Lucien ◽  
Hetel Laurentiu ◽  
Efimov Denis ◽  
Petreczky Mihaly
Keyword(s):  
Nonlinear Systems ◽  
Discrete Time ◽  
Time Varying ◽  
Lipschitz Nonlinear Systems ◽  
Analysis And Synthesis

A Note on Observers for Discrete-Time Lipschitz Nonlinear Systems

2012 ◽  
Vol 59 (2) ◽  
pp. 123-127 ◽  
Author(s):  
Wei Zhang ◽  
Housheng Su ◽  
Fanglai Zhu ◽  
Dong Yue
Keyword(s):  
Nonlinear Systems ◽  
Discrete Time ◽  
Lipschitz Nonlinear Systems

scholarly journals Observer-based trajectory tracking control with preview action for a class of discrete-time Lipschitz nonlinear systems and its applications

2020 ◽  
Vol 12 (7) ◽  
pp. 168781402092265
Author(s):  
Xiao Yu ◽  
Fucheng Liao
Keyword(s):  
Nonlinear Systems ◽  
Discrete Time ◽  
Trajectory Tracking ◽  
Tracking Control ◽  
State Feedback ◽  
Feedback Controller ◽  
Matrix Inequality ◽  
State Feedback Controller ◽  
Lipschitz Nonlinear Systems ◽  
Reference Knowledge

In this article, the observer-based preview tracking control problem is investigated for a class of discrete-time Lipschitz nonlinear systems. To convert the observer-based trajectory tracking problem into a regulation problem, the classical difference technique is used to construct an augmented error system containing tracking error signal and previewable reference knowledge. Then, a state feedback controller with specific structures is taken into consideration. Sufficient design condition is established, based on the Lyapunov function approach, to guarantee the asymptotic stability of the closed-loop system. By means of some special mathematical derivations, the bilinear matrix inequality condition is successfully transformed into a tractable linear matrix inequality. Meanwhile, the gains of both observer and tracking controller can be computed simultaneously only in one step. As for the original system, the developed tracking control law is composed of an integrator, an observer-based state feedback controller, and a preview action term related to the reference signal. Finally, two numerical examples are provided to demonstrate the effectiveness of the theoretical method.

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