Regional asymptotic stability analysis for discrete-time delayed systems with saturation nonlinearity
作者： S. M. Lee , O. M. Kwon , Ju H. Park
DOI: 10.1007/S11071-011-0032-4
关键词: Mathematics 、 Control theory 、 State (functional analysis) 、 Saturation nonlinearity 、 Discrete time and continuous time 、 Stability (probability) 、 Exponential stability 、 Saturation (chemistry) 、 Linear matrix inequality 、 Lyapunov function
摘要: This paper presents a novel method for asymptotic stability analysis of discrete-time systems with state delay and saturation nonlinearity. Based on Lyapunov functional LMI (linear matrix inequality) framework, new criteria are derived in terms LMIs by using some properties the The can be applied to global regional stability. Numerical examples given verify theoretical result proposed method.
springer.com
yu.ac.kr 
sci-hub.se 参考文章(21)
Jie Chen, Vladimir Kharitonov, Kequin Gu, Stability of Time-Delay Systems ,(2003)
Mohammad Shoeybi, Mehrdaad Ghorashi, Control of a Nonlinear System Using the Saturation Phenomenon Nonlinear Dynamics. ,vol. 42, pp. 113- 136 ,(2005) , 10.1007/S11071-005-4123-Y
V. A. Yakubovich, Linear Matrix Inequalities in System and Control Theory (S. Boyd, L. E. Ghaoui, E. Feron, and V. Balakrishnan) SIAM Review. ,vol. 37, pp. 479- 481 ,(1995) , 10.1137/1037119
Dan Dai, Tingshu Hu, Andrew R. Teel, Luca Zaccarian, Piecewise-quadratic Lyapunov functions for systems with deadzones or saturations Systems & Control Letters. ,vol. 58, pp. 365- 371 ,(2009) , 10.1016/J.SYSCONLE.2009.01.003
Carlos Aguilar Ibañez, O. Gutiérrez Frias, Controlling the inverted pendulum by means of a nested saturation function Nonlinear Dynamics. ,vol. 53, pp. 273- 280 ,(2008) , 10.1007/S11071-007-9224-3
V. Krishna Rao Kandanvli, Haranath Kar, Robust stability of discrete-time state-delayed systems employing generalized overflow nonlinearities Nonlinear Analysis: Theory, Methods & Applications. ,vol. 69, pp. 2780- 2787 ,(2008) , 10.1016/J.NA.2007.08.050
Shyh-Feng Chen, Delay-dependent stability for 2D systems with time-varying delay subject to state saturation in the Roesser model Applied Mathematics and Computation. ,vol. 216, pp. 2613- 2622 ,(2010) , 10.1016/J.AMC.2010.03.104
Didier Henrion, Sophie Tarbouriech, Technical Communique: LMI relaxations for robust stability of linear systems with saturating controls Automatica. ,vol. 35, pp. 1599- 1604 ,(1999) , 10.1016/S0005-1098(99)00060-6
Lixian Zhang, El-Kébir Boukas, Ahmad Haidar, Technical communique: Delay-range-dependent control synthesis for time-delay systems with actuator saturation Automatica. ,vol. 44, pp. 2691- 2695 ,(2008) , 10.1016/J.AUTOMATICA.2008.03.009
Jyh-Horng Chou, Stabilization of linear discrete-time systems with actuator saturation Systems & Control Letters. ,vol. 17, pp. 141- 144 ,(1991) , 10.1016/0167-6911(91)90040-L