scholarly journals H∞ Control of Coronary Artery Input Time-Delay System via the Free-Matrix-Based Integral Inequality

2018 ◽  
Vol 2018 ◽  
pp. 1-12
Author(s):  
Sha-sha Li ◽  
Zhan-shan Zhao ◽  
Jing Zhang ◽  
Jie Sun ◽  
Lian-kun Sun
Keyword(s):  
Coronary Artery ◽  
Time Delay ◽  
Integral Inequality ◽  
Controller Design ◽  
Convex Combination ◽  
External Disturbance ◽  
Delay System ◽  
Linear Matrix ◽  
Time Delay System ◽  
Input Time

The issue of H∞ control for the coronary artery input time-delay system with external disturbance is of concern. To further reduce conservation, we utilize the free-matrix-based integral inequality, Wirtinger-based integral inequality, and reciprocal convex combination approach to construct Lyapunov-Krasovskii function (LKF). Then a sufficient condition for controller design which can guarantee robust synchronization the coronary artery system is represented in terms of linear matrix inequality (LMI). Finally, a numerical example is exploited to show the effectiveness of the proposed methods.

scholarly journals Improved Synchronization Criteria for Coronary Artery Input Time-Delay System

IEEE Access ◽  
2018 ◽  
Vol 6 ◽  
pp. 68221-68232
Author(s):  
Jing Zhang ◽  
Shasha Li ◽  
Zhanshan Zhao ◽  
Jie Sun
Keyword(s):  
Coronary Artery ◽  
Time Delay ◽  
Delay System ◽  
Time Delay System ◽  
Input Time

Robust mixed H2 and passive switching control for uncertain discrete switched systems with time delay

2019 ◽  
Vol 37 (2) ◽  
pp. 422-440 ◽  
Author(s):  
Chang-Hua Lien ◽  
Ker-Wei Yu ◽  
Hao-Chin Chang
Keyword(s):  
Time Delay ◽  
Switched Systems ◽  
Switching Control ◽  
Delay System ◽  
Lyapunov Theory ◽  
Linear Matrix ◽  
Time Delay System ◽  
Wirtinger Inequality ◽  
Discrete Time Delay ◽  
Discrete Switched Systems

Abstract In this paper, the problem of mixed ${H}_2$ and passive switching control of uncertain discrete time-delay switched systems is investigated via a switching signal selection. Lyapunov theory with Wirtinger inequality is applied to guarantee the mixed performance for discrete switched time-delay system. The used Linear Matrix Inequality variables are less than our past proposed results. Finally, the improvement of the developed results is illustrated via a numerical example.

scholarly journals Passivity analysis and synthesis for uncertain time-delay systems

2001 ◽  
Vol 7 (5) ◽  
pp. 455-484 ◽  
Author(s):  
Magdi S. Mahmoud ◽  
Lihua Xie
Keyword(s):  
Time Delay ◽  
Design Method ◽  
Delay System ◽  
Delay Systems ◽  
Linear Matrix ◽  
Time Delay Systems ◽  
Time Delay System ◽  
Passivity Analysis ◽  
Analysis And Synthesis ◽  
Uncertain Time

In this paper, we investigate the robust passivity analysis and synthesis problems for a class of uncertain time-delay systems. This class of systems arises in the modelling effort of studying water quality constituents in fresh stream. For the analysis problem, we derive a sufficient condition for which the uncertain time-delay system is robustly stable and strictly passive for all admissible uncertainties. The condition is given in terms of a linear matrix inequality. Both the delay-independent and delay-dependent cases are considered. For the synthesis problem, we propose an observer-based design method which guarantees that the closed-loop uncertain time-delay system is stable and strictly passive for all admissible uncertainties. Several examples are worked out to illustrate the developed theory.

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