scholarly journals Synchronization Control Design Based on Wirtinger Inequality for Uncertain Coronary Artery Time-Delay System With Input Saturation

IEEE Access ◽  
2019 ◽  
Vol 7 ◽  
pp. 76611-76619 ◽  
Author(s):  
Bohan Li ◽  
Zhanshan Zhao ◽  
Ruikun Wang ◽  
Gang Ding
Keyword(s):  
Coronary Artery ◽  
Time Delay ◽  
Input Saturation ◽  
Control Design ◽  
Delay System ◽  
Synchronization Control ◽  
Time Delay System ◽  
Wirtinger Inequality

Synchronization control design for uncertain coronary artery time-delay system with input saturation

2019 ◽  
Vol 12 (03) ◽  
pp. 1950026 ◽  
Author(s):  
Zhanshan Zhao ◽  
Fei Lv ◽  
Jing Zhang ◽  
Liankun Sun
Keyword(s):  
Coronary Artery ◽  
Input Saturation ◽  
Delay System ◽  
Synchronization Control ◽  
Jensen Inequality ◽  
Linear Matrix ◽  
Time Delay System ◽  
Control Scheme ◽  
Local Sector ◽  
Delay Partitioning

A synchronization control scheme is proposed for uncertain coronary artery system (CAS) with input saturation. In order to deal with the input saturation, linear matrix inequalities (LMIS), adequate conditions are obtained based on the local sector condition. Furthermore, by constructing Lyapunov–Krasovskii functional (LKF), we design a state feedback controller to achieve synchronization for chaos system with input saturation. Moreover, the improved Jensen inequality, convex analysis, delay-partitioning approach and Moon et al.’s inequality are utilized to get the less conservative. Finally, the simulation result is given to explain the effectiveness of the proposed synchronization control scheme.

scholarly journals Synchronization of Fuzzy Control Design Based on Bessel–Legendre Inequality for Coronary Artery State Time-Delay System

IEEE Access ◽  
2019 ◽  
Vol 7 ◽  
pp. 181933-181941 ◽  
Author(s):  
Ruikun Wang ◽  
Bohan Li ◽  
Zhanshan Zhao ◽  
Jie Guo ◽  
Zhenyu Zhu
Keyword(s):  
Coronary Artery ◽  
Time Delay ◽  
Fuzzy Control ◽  
Control Design ◽  
Delay System ◽  
Time Delay System ◽  
State 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 Synchronization approach for chaotic time-varying delay system based on Wirtinger inequality

2017 ◽  
Vol 9 (1) ◽  
pp. 168781401668902
Author(s):  
Zhanshan Zhao ◽  
Meili He ◽  
Jing Zhang ◽  
Guowei Xu
Keyword(s):  
Time Delay ◽  
Stability Criterion ◽  
Delay System ◽  
Jensen Inequality ◽  
Time Delay System ◽  
Control Approach ◽  
Time Varying Delay ◽  
Wirtinger Inequality ◽  
The Stability ◽  
Varying Delay

A novel control approach based on Wirtinger inequality is designed for nonlinear chaos synchronization time delay system. In order to reduce the conservatism for the stability criterion, a Lyapunov–Krasovskii functional with triple-integral term is constructed. The improved Wirtinger inequality is used to reduce the conservative which is caused by Jensen inequality, and a stability criterion is proposed by reciprocally convex method. Furthermore, a state feedback controller is designed to synchronize the master-slave systems based on the proposed criteria through cone complementary linearization approach. Finally, a simulation for Lorenz chaos time delay system is given to prove the validity based on the proposed synchronization control approach.

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.

Adaptive fuzzy control design for synchronization of chaotic time-delay system

2020 ◽  
Vol 535 ◽  
pp. 225-241
Author(s):  
Zhen-Yu Zhu ◽  
Zhan-Shan Zhao ◽  
Jing Zhang ◽  
Rui-Kun Wang ◽  
Zhuqing Li
Keyword(s):  
Time Delay ◽  
Fuzzy Control ◽  
Adaptive Fuzzy Control ◽  
Control Design ◽  
Delay System ◽  
Time Delay System ◽  
Adaptive Fuzzy
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