Exponential Stabilization for a Class of Nonlinear Networked Systems with State Delay and Network Induced Delay

Hejun Yao; Fushun Yuan
March 2012
International Journal of Digital Content Technology & its Applic;Mar2012, Vol. 6 Issue 5, p218
Academic Journal
To investigate the exponential stabilization control problem for a class of nonlinear networked systems, a T-S fuzzy model is employed to represent the nonlinear controlled plant with state delay and time varying network induced delay. Based on the Lyapunov stability theory and linear matrix inequality approach, a exponential stabilization sufficient condition is obtained. Then, a state feedback fuzzy controller which can make the network systems exponentially stable is designed. Finally, a numerical example is given to demonstrate the application and effectiveness of the proposed method.


Related Articles

  • Exponential Stability for Uncertain Dynamic Systems with Time-Varying Delays: LMI Optimization Approach. Kwon, O. M.; Park, J. H.; Lee, S. M. // Journal of Optimization Theory & Applications;Jun2008, Vol. 137 Issue 3, p521 

    In this paper, we consider dynamic systems with uncertainties and timevarying delays. Based on the Lyapunov method and convex optimization approach, a delay-dependent criterion for exponential stability of the system is derived in terms of LMI (linear matrix inequality). In order to solve...

  • Stabilization of a Nonlinear Delay System. Arouri, Walid; Maherzi, Elyes; Besbes, Mongi; Sethom, Houda Ben Attia // American Journal of Applied Sciences;2012, Vol. 9 Issue 3, p405 

    Problem statement: The analysis and control of delayed systems are becoming more and more research topics in progress. This is mainly due to the fact that the delay is frequently encountered in technological systems. This can affect their significantly operations. Most control command laws are...

  • On a special critical case of stability of a nonautonomous essentially nonlinear system. Vitrychenko, I. E. // Ukrainian Mathematical Journal;Dec2005, Vol. 57 Issue 12, p2011 

    We obtain sufficient conditions for the Lyapunov stability of the trivial solution of a nonautonomous essentially nonlinear differential system in a special critical case.

  • Non-Fragile H Guaranteed Cost Control for a Non-linear Stochastic System with Both Distributed Delays and Input Delays. Su, Lianqing; Zhu, Xiaodan; Qiu, Jiqing // Circuits, Systems & Signal Processing;Dec2011, Vol. 30 Issue 6, p1503 

    The problem of non-fragile H guaranteed cost control for a delay-dependent non-linear stochastic system is considered. Both distributed delays and input delays appear in the system. A delay-dependent stabilization condition is presented in terms of the Lyapunov stability theory and the linear...

  • Auxiliary-state-driven Fuzzy Controller for Nonlinear Systems Based on TS-fuzzy-model-based Approach. Lam, H. K.; Seneviratne, L. D. // International Journal of Fuzzy Systems;Jun2007, Vol. 9 Issue 2, p67 

    This paper investigates the system stability of fuzzy-model-based control system. An auxiliary-state-driven fuzzy controller is proposed to deal with nonlinear systems. With a particular and systematic design, the system stability of fuzzy control systems is implied by the auxiliary and error...

  • Delay-dependent Stability Criterion for Discrete-time Uncertain State-delayed Systems Employing Saturation Nonlinearities. Kandanvli, V.; Kar, Haranath // Arabian Journal for Science & Engineering (Springer Science & Bu;Oct2013, Vol. 38 Issue 10, p2911 

    A new criterion for the global asymptotic stability of a class of uncertain discrete-time state-delayed systems employing saturation nonlinearities is presented. The proposed criterion takes the form of a linear matrix inequality which is delay-dependent. Numerical examples are given to...

  • Observer-Based Synchronization of a New Hybrid Chaotic System and Its Application to Secure Communications. BOURAOUI, H.; KEMIH, K. // Acta Physica Polonica, A.;Feb2013, Vol. 123 Issue 2, p259 

    This paper presents an interesting issue of using hybrid dynamical system to chaos synchronization and its application in secure communication using a new 5D hyperchaotic systems. The slave system is modeled by an unknown input observer, in which the unknown input issued from the hybrid system...

  • On Guaranteed Global Exponential Stability Of Polynomial Singularly Perturbed Control Systems. Bouzaouache, Hajer; Braiek, Naceur Benhadj // International Journal of Computers, Communications & Control;Oct-Dec2006, Vol. 1 Issue 4, p21 

    The problem of global exponential stability for a class of nonlinear singularly perturbed systems is examined in this paper. The stability analysis is based on the use of basic results of integral manifold of nonlinear singularly perturbed systems, the composite Lyapunov method and the notations...

  • The Study for Guaranteed Cost Fault Tolerant Control of the Networked Control Systems. Zeng fan; He guangjun; Lu guang; Li guohong // Proceedings of the International Workshop on Information Securit;2009, p148 

    In this paper, the problem of guaranteed cost fault-tolerant control for networked control systems (NCSs) is discussed based on Lyapunov stability theory and Linear Matrix Inequality (LMI). The sufficient conditions possessing robust integrity against actuator failures are given by adopting...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics