scholarly journals Global State Control for a Class of Inherently Higher-order Parameterized Nonlinear Time-delay Systems Based on Homogeneous Domination Approach∗∗This work was supported in part by National Natural Science Foundation of China ( 61374038, 61374050, and 61473079), and a project funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions (1108007002).

2015 ◽  
Vol 48 (12) ◽  
pp. 191-196
Author(s):  
Lin Chai ◽  
Pan Wang ◽  
Shumin Fei
Keyword(s):  
Higher Education ◽  
Time Delay ◽  
Program Development ◽  
Natural Science ◽  
Higher Order ◽  
Academic Program ◽  
Delay Systems ◽  
Time Delay Systems ◽  
State Control ◽  
Global State

scholarly journals Global State-Feedback Control for Switched Nonlinear Time-Delay Systems via Dynamic Gains

2020 ◽  
Vol 2020 ◽  
pp. 1-11
Author(s):  
Hui Ye ◽  
Bin Jiang ◽  
Hao Yang ◽  
Gui-Hua Zhao
Keyword(s):  
Time Delay ◽  
Feedback Control ◽  
State Feedback ◽  
State Feedback Control ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Global State ◽  
Switching Law ◽  
Power Integrator ◽  
Dynamic Gain

In this paper, the problem of global state-feedback control is investigated for a class of switched nonlinear time-delay systems. In order to obtain a less-conservative common dynamic gain update law across subsystems, we construct different dynamic gain update laws for individual subsystems. Based on multiple Lyapunov function approach and adding one power integrator technique, the delay-independent controllers for all subsystems and a proper switching law are designed to guarantee that the states of the switched nonlinear time-delay systems can be globally asymptotically to the origin; meanwhile, all the signals of the closed-loop system are bounded. Finally, an example is provided to demonstrate the effectiveness of the proposed method.

Two term composite nonlinear feedback controller design for nonlinear time-delay systems

2017 ◽  
Vol 40 (12) ◽  
pp. 3424-3432 ◽  
Author(s):  
Sonal Singh ◽  
Shubhi Purwar ◽  
Abhijit Kulkarni
Keyword(s):  
Time Delay ◽  
Transient Response ◽  
Control Technique ◽  
Delay Systems ◽  
Time Delay Systems ◽  
State Control ◽  
Nonlinear Feedback ◽  
Composite Nonlinear Feedback ◽  
Fast Transient Response ◽  
Fast Transient

A two term composite nonlinear feedback (2TCNF) control technique is developed here for nonlinear time delay systems in presence of input saturation. The proposed controller consists of two terms that are conventional composite nonlinear feedback (CNF) control and delay state control. CNF control has advantage of fast transient response and delay state control improves damping characteristics. The proposed controller thus has both these advantages and it tracks the reference smoothly. The closed loop asymptotic stability is guaranteed via Lyapunov–Krasovskii analysis. The efficiency of the proposed controller is tested on exothermic chemical reactor and validated through simulation results. Its performance is compared with the conventional CNF control. The superiority of 2TCNF is established in terms of less overshoot, fast transient response and reduced steady state error.

scholarly journals Global Output Control for a Class of Inherently Higher-Order Nonlinear Time-Delay Systems Based on Homogeneous Domination Approach

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Lin Chai
Keyword(s):  
Time Delay ◽  
Output Feedback ◽  
Growth Conditions ◽  
Higher Order ◽  
Feedback Stabilization ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Closed Loop System ◽  
Output Control ◽  
Globally Asymptotically Stable

This paper addresses the problem of global output feedback stabilization for a class of inherently higher-order uncertain nonlinear systems subject to time-delay. By using the homogeneous domination approach, we construct a homogeneous output feedback controller with an adjustable scaling gain. With the aid of a homogeneous Lyapunov-Krasovskii functional, the scaling gain is adjusted to dominate the time-delay nonlinearities bounded by homogeneous growth conditions and render the closed-loop system globally asymptotically stable. In addition, we also show that the proposed approach is applicable for time-delay systems under nontriangular growth conditions.

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