Extension Theorem of Impulsive Control and Its Applications

被引：0
作者：
Yin X. [1 ,2 ]
Liu F. [1 ,2 ]
She J.-H. [1 ,2 ]
机构：
[1] School of Automation, China University of Geosciences, Wuhan
[2] Hubei Key Laboratory of Advanced Control and Intelligent Automation for Complex Systems, Wuhan
来源：
Liu, Feng (fliu@cug.edu.cn) | 1600年 / Science Press卷 / 46期
基金：
中国国家自然科学基金;
关键词：
Actuator response time; Actuator saturation; Discrete time-delay systems; Extended impulsive control;
D O I：
10.16383/j.aas.c180059
中图分类号：
学科分类号：
摘要：
This paper presents a mathematical description of extended impulsive control for discrete time-delay systems according to the impulsive control theory. Based on this mathematical description, the stability theorem of extended impulsive control is derived. The extension theorem not only avoids the influence of actuator saturation, but also can be used to analyze the stability of the system when the actuator has response time. Further research findings show that the controller designed according to extension theorem can greatly improve the critical bifurcation parameter of a system. Copyright © 2020 Acta Automatica Sinica. All rights reserved.
引用
收藏
页码：58 / 67
页数：9
相关论文
共 21 条
  • [1] Lakshmikantham V., Bainov D.D., Simeonov P.S., Theory of Impulsive Differential Equations, (1989)
  • [2] Yang X.S., Lam J., Ho D.W.C., Feng Z.G., Fixed-time synchronization of complex networks with impulsive effects via nonchattering control, IEEE Transactions on Automatic Control, 62, 11, pp. 5511-5521, (2017)
  • [3] Rakkiyappan R., Velmurugan G., George J.N., Selvamani R., Exponential synchronization of Lur'e complex dynamical networks with uncertain inner coupling and pinning impulsive control, Applied Mathematics and Computation, 307, pp. 217-231, (2017)
  • [4] Zhu Q.X., Song B., Exponential stability of impulsive nonlinear stochastic differential equations with mixed delays, Nonlinear Analysis: Real World Applications, 12, 5, pp. 2851-2860, (2011)
  • [5] Long S.J., Xu D.Y., Global exponential stability of non-autonomous cellular neural networks with impulses and time-varying delays, Communications in Nonlinear Science and Numerical Simulation, 18, 6, pp. 1463-1472, (2013)
  • [6] Su X.-M., Zhang P., Zhu J.-Y., Finite-time stability of linear time-varying descriptor impulse systems, Acta Automatica Sinica, 42, 2, pp. 309-314, (2016)
  • [7] Yang T., Impulsive Control Theory, (2001)
  • [8] Zhang L., Yang X.S., Xu C., Feng J.W., Exponential synchronization of complex-valued complex networks with time-varying delays and stochastic perturbations via time-delayed impulsive control, Applied Mathematics and Computation, 306, pp. 22-30, (2017)
  • [9] Ai Z.D., Chen C.C., Asymptotic stability analysis and design of nonlinear impulsive control systems, Nonlinear Analysis: Hybrid Systems, 24, pp. 244-252, (2017)
  • [10] Jiang X.W., Ding L., Guan Z.H., Yuan F.S., Bifurcation and chaotic behavior of a discrete-time Ricardo-Malthus model, Nonlinear Dynamics, 71, 3, pp. 437-446, (2013)
123