Yun Zou

Publications (95) View all

• Article: Non-Fragile Robust Guaranteed Cost Control of 2-D Discrete Uncertain Systems Described by the General Models

  Shuxia Ye, Weiqun Wang, Yun Zou, Huiling Xu
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  ABSTRACT: The problem of non-fragile robust guaranteed cost control for a class of two-dimensional (2-D) discrete systems in the general model (GM) with norm-bound uncertainties is investigated. The purpose is to design a non-fragile state feedback controller such that the closed-loop system is asymptotically stable and the cost function value is not more than an upper bound for all admissible uncertainties. The cost function is proposed and an upper bound of the cost function is given. By using a linear matrix inequalities (LMIs) approach, a sufficient condition for the solvability of the problem is obtained. A desired non-fragile state feedback controller can be constructed by solving a set of LMIs. An example is provided to demonstrate the application of the proposed design method. Keywords2-D discrete systems–General models–Uncertain systems–Guaranteed cost control
  Circuits Systems and Signal Processing 05/2012; 30(5):899-914. · 0.82 Impact Factor
• Article: Synchronization of stochastic chaotic neural networks with reaction-diffusion terms

  Qian Ma, Shengyuan Xu, Yun Zou, Guodong Shi
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  ABSTRACT: In this paper, we are concerned with the synchronization problem of a class of stochastic reaction-diffusion neural networks with time-varying delays and Dirichlet boundary conditions. By using the Lyapunov–Krasovskii functional method, feedback control approach and stochastic analysis technology, delay-dependent synchronization conditions including the information of reaction-diffusion terms are presented, which are expressed in terms of linear matrix inequalities (LMIs). The feedback controllers can be constructed by solving the derived LMIs. Finally, illustrative examples are given to show the effectiveness of the proposed technique. KeywordsSynchronization–Reaction-diffusion–Chaotic neural networks–LMIs
  Nonlinear Dynamics 05/2012; 67(3):2183-2196. · 1.25 Impact Factor
• Article: Robust H∞ filtering for uncertain two-dimensional discrete systems with state-varying delays

  Huiling Xu, Yun Zou
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  ABSTRACT: This paper is concerned with the problem of robust filtering for uncertain 2-D discrete systems in Fornasini-Marchesini second local state-space model with state-varying delays. The parameter uncertainty is assumed to be norm-bounded. A 2-D stable filter is designed to ensure that a prescribed H ∞ performance level is fulfilled for all admissible uncertainties. A linear matrix inequality (LMI) approach is developed to solve the above problem, and delay-dependent conditions for the solvability are obtained. A illustrative example is provided to demonstrate the feasibility and effectiveness of the proposed method. KeywordsDiscrete systems-linear matrix inequality (LMI)-robust H ∞ filtering-state-varying delay-two-dimensional systems
  International Journal of Control Automation and Systems 04/2012; 8(4):720-726. · 0.75 Impact Factor
• Article: Finite frequency positive real control for singularly perturbed systems

  Yanlong Huang, Chenxiao Cai, Yun Zou
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  ABSTRACT: In this paper, strictly positive real control for singularly perturbed systems in (semi)finite frequency ranges is studied. For the general linear systems, necessary and sufficient conditions for the existence of a stabilizing state feedback controller are given based on the generalized KYP lemma, and use the results to study singularly perturbed systems, a composite state feedback controller is constructed, which preserves the stability and positive real property. KeywordsGeneralized KYP lemma–linear matrix inequality–positive real–singularly perturbed
  International Journal of Control Automation and Systems 04/2012; 9(2):376-383. · 0.75 Impact Factor
• Article: Decentralized H-infinity state feedback control for discrete-time singular large-scale systems

  Songlin Wo, Yun Zou, Shengyuan XU
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  ABSTRACT: The decentralized H-infinity control problem for discrete-time singular large-scale systems is considered. Based on the bounded real lemma of discrete-time singular systems, a sufficient condition for the existence of decentralized H-infinity controller for discrete-time singular large-scale systems is presented in terms of the solvability to a certain system of linear matrix inequalities by linear matrix inequality (LMI) approach, and the feasible solutions to the system of LMIs provide a parameterized representation of a set of decentralized H-infinity controller. The given example shows the application of the method. KeywordsDiscrete-time singular large-scale system-Linear matrix inequality (LMI)-Decentralized H-infinity control
  Journal of Control Theory and Applications 04/2012; 8(2):200-204.