Delay-dependent robust reliable control for uncertain switched neutral systems

Complexity ◽  
2015 ◽  
Vol 21 (5) ◽  
pp. 224-237 ◽  
Author(s):  
Subramaniam Selvi ◽  
Rathinasamy Sakthivel ◽  
Kalidass Mathiyalagan
Keyword(s):  
Reliable Control ◽  
Neutral Systems ◽  
Robust Reliable Control ◽  
Switched Neutral Systems ◽  
Delay Dependent

scholarly journals Switching Signal Design for Global Exponential Stability of Uncertain Switched Neutral Systems

2009 ◽  
Vol 2009 ◽  
pp. 1-17 ◽  
Author(s):  
Ker-Wei Yu
Keyword(s):  
Exponential Stability ◽  
Global Exponential Stability ◽  
Signal Design ◽  
Neutral Systems ◽  
Numerical Examples ◽  
Switching Signal ◽  
The Stability ◽  
Switched Neutral Systems ◽  
Delay Dependent ◽  
Stability Results

The switching signal design for global exponential stability of switched neutral systems is investigated in this paper. LMI-based delay-dependent and delay-independent criteria are proposed to guarantee the global stability via the constructed switching signal. Razumikhin-like approach is used to find the stability results. Finally, some numerical examples are illustrated to show the main results.

New Delay Dependent Stability Analysis for Switched Neutral Systems with Mode-Dependent Delays under Arbitrary Switching Laws

2011 ◽  
Vol 228-229 ◽  
pp. 993-1000
Author(s):  
Liang Lin Xiong ◽  
Xin Wang ◽  
Zhu Yuan Yang
Keyword(s):  
Stability Analysis ◽  
Lyapunov Functional ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Neutral Systems ◽  
Arbitrary Switching ◽  
The Stability ◽  
Switched Neutral Systems ◽  
Delay Dependent ◽  
Delay Dependent Stability

In this paper, the stability analysis of switched uncertain neutral systems with mode-dependent delays under arbitrary switching rules is presented. Based on common Lyapunov functional, and combined with the analysis of matrix inequalities, the delay dependent stability conditions are obtained in the form of linear matrix inequalities(LMIs)which can be easily solved by LMI toolbox in Matlab. Finally, a numerical example illustrate that the proposed criteria are effective.

Exponential Stability for Uncertain Switched Neutral Systems with Nonlinear Perturbations

2011 ◽  
Vol 217-218 ◽  
pp. 668-673
Author(s):  
Xiu Liu ◽  
Shou Ming Zhong ◽  
Xiu Yong Ding
Keyword(s):  
Exponential Stability ◽  
Linear Matrix ◽  
Time Varying ◽  
Nonlinear Perturbations ◽  
Neutral Systems ◽  
Weighting Matrix ◽  
The Stability ◽  
Switched Neutral Systems ◽  
Delay Dependent ◽  
Stability Results

The global exponential stability for switched neutral systems with time-varying delays and nonlinear perturbations is investigated in this paper. LMI-based delay-dependent criterion is proposed to guarantee exponential stability for our considered systems under any switched signal. Lyapunov-Krasovskii functional and Leibniz-Newton formula are applied to find the stability results. Free weighting matrix and linear matrix inequality (LMI) approaches are used to solve the proposed conditions.

Hysteresis Switching Design for Stabilization of Switched Neutral Systems Using Multiple Lyapunov Functionals

2012 ◽  
Author(s):  
Tai-Fang Li ◽  
Georgi M. Dimirovski ◽  
Jun Zhao
Keyword(s):  
Discrete Time ◽  
Linear Matrix ◽  
Lyapunov Functionals ◽  
Time Varying ◽  
Neutral Systems ◽  
Switching Law ◽  
Time Varying Delay ◽  
Switched Neutral Systems ◽  
Delay Dependent ◽  
Varying Delay

The stabilization problem for a class of switched neutral systems with a discrete time-varying delay is studied in this paper. The upper bound of derivative of the discrete time-varying delay can be an arbitrary given constant which is not necessary to be less than one. Each subsystem is not assumed to be stable. A hysteresis switching law is designed based on multiple Lyapunov functionals to avoid sliding modes and chattering phenomena. The obtained delay-dependent stabilization criterion is given in terms of linear matrix inequalities (LMIs). The result is illustrated by an example.

Robust Reliable Control for a Class of Uncertain Discrete-Time Systems with Multiple Time-Varying Delays

2012 ◽  
Vol 630 ◽  
pp. 396-401
Author(s):  
Chong Li
Keyword(s):  
Discrete Time ◽  
Controller Design ◽  
Design Method ◽  
Robust Stabilization ◽  
System Stability ◽  
Multiple Time ◽  
Reliable Control ◽  
Time Varying ◽  
Robust Reliable Control ◽  
Delay Dependent

The robust reliable control design problem of uncertain discrete-time control systems with multiple time-varying delays is addressed in this article. Uncertainty in system is assumed to satisfy the norm-bounded condition and the time-delay parameter is time-varying unstructured. Under the proposed concepts of exponentially robust stability and exponentially robust stabilization, the delay-dependent exponential stability condition for the robust reliable control system is derived and a new delay-dependent state feedback controller design method is provided. The relationship between system stability and time-delays is also studied. Simulation study shows the effectiveness and feasibility of the proposed controller design method.

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