Networked Output Feedback Control for a Class of Uncertain Nonlinear Time-Delay Systems

Hongyan Chu,Yan Wang,Weiling Li

doi:10.1155/2019/4706846

Hongyan Chu, Yan Wang + Show 1 more

Open Access

https://doi.org/10.1155/2019/4706846

Copy DOI

Abstract

This paper studies the global stabilization problem for a class of uncertain time-delay nonlinear systems by designing a sampled-data output feedback controller via network. Under a lower triangular linear growth condition, when only the output is measurable, a sampled-data output feedback network controller, whose observer and control law are both linear, is constructed to solve the stabilization problem. Using a feedback domination design approach which substantially differs from the separation principle, we explicitly construct a Lyapunov–Krasovskill functional to prove the global asymptotic stability with the help of inductive proof method. The control law is discrete-time and linear, hence simulation examples be easily implemented with computers to show the effectiveness of our proposed method.

Highlights

Introduction and OverviewIn this paper, we will extend the results in [1] to the nonlinear networked systems when the control input is transmitted through the shared common-use network
In [14], the global asymptotic stabilization is solvable using a sample-data output feedback controller with an appropriate sampling period. e objective of this paper is to prove that when is not zero, there exists a sampled-data controller which globally asymptotically stabilizes the uncertain nonlinear system (1) and (2)
We show that the problem of output feedback stabilization for system (1) and (2) under sampled-data control is solvable under Assumptions 1, 3, and 5

Summary

Introduction and Overview

We will extend the results in [1] to the nonlinear networked systems when the control input is transmitted through the shared common-use network. In [14], under the same lower-triangular linear growth condition for the unknown nonlinearities as in [15], a sampled-data output feedback controller is explicitly constructed to globally stabilize the system (1) for the case of = 0. Du et al [25] discussed the global sampled-data output feedback stabilization problem for the upper-triangular nonlinear systems with input delay. Is paper will show that under the same assumption used in [20, 27], i.e., the lower triangular linear growth condition for the unknown nonlinearities with time-delay, we can explicitly construct a sampled-data output feedback network controller to globally stabilize system (1).

Problem Statement and Assumptions

Output-Feedback Networked Control

Simulation Results

Conclusion