Output feedback stabilization of time‐delay nonlinear systems with unknown continuous time‐varying output function and nonlinear growth rate

2020 ◽  
Vol 30 (6) ◽  
pp. 2579-2592 ◽  
Author(s):  
Zong‐Yao Sun ◽  
Jing‐Wen Xing ◽  
Chih‐Chiang Chen
Keyword(s):  
Growth Rate ◽  
Time Delay ◽  
Nonlinear Systems ◽  
Output Feedback ◽  
Continuous Time ◽  
Feedback Stabilization ◽  
Time Varying ◽  
Output Function ◽  
Nonlinear Growth ◽  
Output Feedback Stabilization

scholarly journals Global Output Feedback Stabilization of Nonlinear Systems with a Time-Varying Power and Unknown Output Function

2018 ◽  
Vol 2018 ◽  
pp. 1-12
Author(s):  
Chao Guo ◽  
Kemei Zhang
Keyword(s):  
Nonlinear Systems ◽  
Output Feedback ◽  
Feedback Stabilization ◽  
Time Varying ◽  
Output Function ◽  
Adding A Power Integrator ◽  
Output Feedback Stabilization ◽  
Open Sector ◽  
Continuous Output ◽  
Reduced Order Observer

This paper studies the problem of global output feedback stabilization for a class of nonlinear systems with a time-varying power and unknown output function. For nonlinear systems with a time-varying power and unknown continuous output function, by constructing a new nonlinear reduced-order observer together with adding a power integrator method, a new function to determine the maximal open sector Ω of output function is given. As long as output function belongs to any closed sector included in Ω, it is shown that the equilibrium point of the closed-loop system can be guaranteed globally uniformly asymptotically stable by an output feedback controller.

Smooth output feedback stabilization for a class of nonlinear systems with time-varying powers

2017 ◽  
Vol 27 (18) ◽  
pp. 5113-5128 ◽  
Author(s):  
Chih-Chiang Chen ◽  
Chunjiang Qian ◽  
Xiangze Lin ◽  
Zong-Yao Sun ◽  
Yew-Wen Liang
Keyword(s):  
Nonlinear Systems ◽  
Output Feedback ◽  
Feedback Stabilization ◽  
Time Varying ◽  
Output Feedback Stabilization

scholarly journals Global Practical Tracking by Output Feedback for Nonlinear Systems with Unknown Growth Rate and Time Delay

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Xuehua Yan ◽  
Xinmin Song
Keyword(s):  
Time Delay ◽  
Nonlinear Systems ◽  
Output Feedback ◽  
Dead Zone ◽  
Tracking Error ◽  
Time Varying ◽  
Nonlinear Growth ◽  
Varying Time Delay ◽  
Dependent Growth ◽  
Feedback Tracking

This paper is the further investigation of work of Yan and Liu, 2011, and considers the global practical tracking problem by output feedback for a class of uncertain nonlinear systems with not only unmeasured states dependent growth but also time-varying time delay. Compared with the closely related works, the remarkableness of the paper is that the time-varying time delay and unmeasurable states are permitted in the system nonlinear growth. Motivated by the related tracking results and flexibly using the ideas and techniques of universal control and dead zone, an adaptive output-feedback tracking controller is explicitly designed with the help of a new Lyapunov-Krasovskii functional, to make the tracking error prescribed arbitrarily small after a finite time while keeping all the closed-loop signals bounded. A numerical example demonstrates the effectiveness of the results.

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