scholarly journals Practical output tracking for a class of uncertain nonlinear time-delay systems via state feedback

2018 ◽  
Vol 189 ◽  
pp. 10027
Author(s):  
Keylan Alimhan ◽  
Naohisa Otsuka ◽  
M.N. Kalimoldayev ◽  
N. Tasbolat
Keyword(s):  
Time Delay ◽  
State Feedback ◽  
Closed Loop ◽  
Tracking Error ◽  
Growth Conditions ◽  
Delay Systems ◽  
Homogeneous State ◽  
Time Delay Systems ◽  
Closed Loop System ◽  
Output Tracking

In this paper, the problem of global practical output tracking is investigated by state feedback for a class of uncertain nonlinear time-delay systems. Under mild conditions on the system nonlinearities involving time delay, we construct a homogeneous state feedback controller with an adjustable scaling gain. By a homogeneous Lyapunov-Krasovskii functional, the scaling gain is adjusted to dominate the time-delay nonlinearities bounded by homogeneous growth conditions and render the tracking error can be made arbitrarily small while all the states of the closed-loop system remain to be bounded.

Finite-time H∞ output tracking control for time-delay systems with actuators failure

2020 ◽  
Vol 42 (13) ◽  
pp. 2548-2558
Author(s):  
Yi Gan ◽  
Baowei Wu ◽  
Bingbing Zhu ◽  
Limei Wang
Keyword(s):  
Time Delay ◽  
Finite Time ◽  
Tracking Control ◽  
Average Dwell Time ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Closed Loop System ◽  
Output Tracking ◽  
Output Tracking Control ◽  
Switching Method

The problem of finite-time [Formula: see text] output tracking control for time-delay systems with actuators failure is investigated. Firstly, a switching rule and the switching regions are presented. Then, the finite-time bounded and tracking performance analysis are proposed by using Lyapunov function and average dwell time technique. Moreover, based on the switching method, a solution for controller is derived such that the resulting closed-loop system is finite-time stable. Finally, a numerical example is given to illustrate the effectiveness of the results.

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.

A New Controller of Stochastic Delay Systems

2011 ◽  
Vol 63-64 ◽  
pp. 974-977
Author(s):  
Yun Chen ◽  
Qing Qing Li
Keyword(s):  
Time Delay ◽  
Closed Loop ◽  
Stochastic Systems ◽  
Delay Systems ◽  
Mean Square ◽  
Closed Loop System ◽  
Stochastic Delay ◽  
Numerical Example ◽  
Mean Square Stability ◽  
Delay Dependent

By introducing an additional vector, a new delay-dependent controller is designed for stochastic systems with time delay in this paper. The presented controller is formulated by means of LMI, and it guarantees robust asymptotical mean-square stability of the resulting closed-loop system. Our result shows advantage over some existing ones, which is demonstrated by a numerical example.

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