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.

scholarly journals Output Tracking Control for High-Order Nonlinear Systems with Time Delay via Output Feedback Design

Symmetry ◽  
2021 ◽  
Vol 13 (4) ◽  
pp. 675
Author(s):  
Keylan Alimhan ◽  
Orken J. Mamyrbayev ◽  
Gaukhar A. Abdenova ◽  
Almira Akmetkalyeva
Keyword(s):  
Time Delay ◽  
Nonlinear Systems ◽  
Output Feedback ◽  
Tracking Error ◽  
High Order ◽  
Output Controller ◽  
Output Tracking ◽  
Output Tracking Control ◽  
Tracking Controller ◽  
Feedback Tracking

Design approach of an output feedback tracking controller is proposed for a class of high-order nonlinear systems with time delay. To deal with the time delays, an appropriate Lyapunov–Krasovskii the tracking analysis is ingeniously constructed, and an output feedback tracking controller is designed by using a homogeneous domination method. It is shown that the proposed output controller independent of time delay can make the tracking error be adjusted to be sufficiently small and render all the trajectory of the closed-loop system as bounded. An example is given to illustrate the effectiveness of the proposed method.

Adaptive output feedback tracking of nonlinear systems with uncertain nonsymmetric dead-zone input

2019 ◽  
Vol 95 ◽  
pp. 35-44 ◽  
Author(s):  
Xianglei Jia ◽  
Shengyuan Xu ◽  
Zhidong Qi ◽  
Zhengqiang Zhang ◽  
Yuming Chu
Keyword(s):  
Nonlinear Systems ◽  
Output Feedback ◽  
Dead Zone ◽  
Feedback Tracking

scholarly journals Adaptive Output Feedback Tracking Controller Design of Stochastic Nonlinear Systems with Parameter Uncertainty for Polynomial Function Growth Conditions

2018 ◽  
Vol 2018 ◽  
pp. 1-10
Author(s):  
Long-Chuan Guo
Keyword(s):  
Nonlinear Systems ◽  
Output Feedback ◽  
Controller Design ◽  
Polynomial Function ◽  
Tracking Error ◽  
Parametric Uncertainty ◽  
Growth Conditions ◽  
Stochastic Nonlinear Systems ◽  
Tracking Controller ◽  
Feedback Tracking

This paper mainly focuses on output feedback practical tracking controller design for stochastic nonlinear systems with polynomial function growth conditions. Mostly, there are some studies on output feedback tracking control problem for general nonlinear systems with parametric certainty in existing achievements. Moreover, we extend it to stochastic nonlinear systems with parametric uncertainty and system nonlinear terms are assumed to satisfy polynomial function growth conditions which are more relaxed than linear growth conditions or power growth conditions. Due to the presence of unknown parametric uncertainty, an output feedback practical tracking controller with dynamically updated gains is constructed explicitly so that all the states of the closed-loop systems are globally bounded and the tracking error belongs to arbitrarily small interval after some positive finite time. An example illustrates the efficiency of the theoretical results.

scholarly journals Adaptive Fuzzy Fault-Tolerant Output Feedback Tracking Control of Uncertain Stochastic Nonlinear Systems with Unknown Time-Delay and Tracking Error Constrained

2014 ◽  
Vol 2014 ◽  
pp. 1-11
Author(s):  
Shuai Sui ◽  
Shaocheng Tong ◽  
Yongming Li
Keyword(s):  
Time Delay ◽  
Feedback Control ◽  
Nonlinear Systems ◽  
Output Feedback ◽  
Tracking Error ◽  
Output Feedback Control ◽  
Adaptive Observer ◽  
Stochastic Nonlinear Systems ◽  
Adaptive Fuzzy ◽  
Fuzzy Adaptive

The problem of tracking error constrained adaptive fuzzy output feedback control is investigated for a class of single-input and single-output (SISO) stochastic nonlinear systems with actuator faults, unknown time-delay, and unmeasured states. The considered faults are modeled as both loss of effectiveness and lock-in-place. The fuzzy logic systems are used to approximate the unknown nonlinear functions, and a fuzzy adaptive observer is designed for estimating the unmeasured states. By transforming the tracking errors into new virtual error variables and based on backstepping recursive design technique, a new fuzzy adaptive output feedback control method is developed. It is shown that all the signals of the resulting closed-loop system are bounded in probability and the tracking error remains an adjustable neighborhood of the origin within the prescribed bounds. The simulation results are provided to show the effectiveness of the proposed approach.

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