scholarly journals Robust H∞ Control For Uncertain Singular Neutral Time-Delay Systems

Mathematics ◽  
2019 ◽  
Vol 7 (3) ◽  
pp. 217 ◽  
Author(s):  
Yuhong Huo ◽  
Jia-Bao Liu
Keyword(s):  
Time Delay ◽  
Stability Condition ◽  
State Feedback ◽  
State Feedback Control ◽  
Delay Systems ◽  
Linear Matrix ◽  
Control Law ◽  
Matrix Inequality ◽  
Time Delay Systems ◽  
Matrix Inequalities

The present paper attempts to investigate the problem of robust H ∞ control for a class of uncertain singular neutral time-delay systems. First, a linear matrix inequality (LMI) is proposed to give a generalized asymptotically stability condition and an H ∞ norm condition for singular neutral time-delay systems. Second, the LMI is utilized to solve the robust H ∞ problem for singular neutral time-delay systems, and a state feedback control law verifies the solution. Finally, four theorems are formulated in terms of a matrix equation and linear matrix inequalities.

Robust H∞ Control of Time-Delay Systems

2013 ◽  
Vol 634-638 ◽  
pp. 3849-3852
Author(s):  
Man Sun
Keyword(s):  
Time Delay ◽  
State Feedback ◽  
Performance Criterion ◽  
Delay Systems ◽  
Linear Matrix ◽  
Polytopic Uncertainty ◽  
Time Delay Systems ◽  
Matrix Inequalities ◽  
Feedback Synthesis ◽  
Delay Dependent

In this paper, a delay-dependent H_infinity performance criterion which possess decoupling structure is derived for a class of time-delay systems. It is then extended to H_infinity state-feedback synthesis for time-delay systems with polytopic uncertainty. All the conditions are given in terms of the linear matrix inequalities (LMIs). Numerical examples illustrate the effectiveness of our methods.

Stability of nonlinear time-delay systems satisfying a quadratic constraint

2016 ◽  
Vol 40 (3) ◽  
pp. 712-718 ◽  
Author(s):  
Mohsen Ekramian ◽  
Mohammad Ataei ◽  
Soroush Talebi
Keyword(s):  
Time Delay ◽  
Uncertain Systems ◽  
Delay Systems ◽  
Linear Matrix ◽  
Time Delay Systems ◽  
Matrix Inequalities ◽  
Quadratic Constraint ◽  
The Stability ◽  
Delay Dependent ◽  
Delay Dependent Stability

The stability problem of nonlinear time-delay systems is addressed. A quadratic constraint is employed to exploit the structure of nonlinearity in dynamical systems via a set of multiplier matrices. This yields less conservative results concerning stability analysis. By employing a Wirtinger-based inequality, a delay-dependent stability criterion is derived in terms of linear matrix inequalities for the nominal and uncertain systems. A numerical example is used to demonstrate the effectiveness of the proposed stability conditions in dealing with some larger class of nonlinearities.

Delay-dependent robust H∞ control for neutral time-delay systems

2014 ◽  
Vol 24 (5) ◽  
Author(s):  
MAN SUN ◽  
AIMIN YANG
Keyword(s):  
Time Delay ◽  
Performance Criterion ◽  
Controller Synthesis ◽  
Delay Systems ◽  
Descriptor System ◽  
Linear Matrix ◽  
Time Delay Systems ◽  
Matrix Inequalities ◽  
Delay Dependent ◽  
Decoupled Structure

We derive a delay-dependent H∞ performance criterion with a decoupled structure for systems with neutral time delay. We then extend it to an H∞ controller synthesis for systems with polytopic uncertainty. All conditions are given in terms of linear matrix inequalities (LMIs). In some previous descriptor system methods, the products of the controller and Lyapunov matrices are completely separated for the performance analysis, but not for controller synthesis - the method developed in the current paper eliminates this weakness. We present a numerical example to illustrate the effectiveness of the solution.

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