Unified stabilizing controller synthesis approach for discrete-time intelligent systems with time delays by dynamic output feedback

  • Liu MeiQin 


A novel model, termed the standard neural network model (SNNM), is advanced to describe some delayed (or non-delayed) discrete-time intelligent systems composed of neural networks and Takagi and Sugeno (T-S) fuzzy models. The SNNM is composed of a discrete-time linear dynamic system and a bounded static nonlinear operator. Based on the global asymptotic stability analysis of the SNNMs, linear and nonlinear dynamic output feedback controllers are designed for the SNNMs to stabilize the closed-loop systems, respectively. The control design equations are shown to be a set of linear matrix inequalities (LMIs) which can be easily solved by various convex optimization algorithms to determine the control signals. Most neural-network-based (or fuzzy) discrete-time intelligent systems with time delays or without time delays can be transformed into the SNNMs for controller synthesis in a unified way. Three application examples show that the SNNMs not only make controller synthesis of neural-network-based (or fuzzy) discrete-time intelligent systems much easier, but also provide a new approach to the synthesis of the controllers for the other type of nonlinear systems.


standard neural network model (SNNM) linear matrix inequality (LMI) intelligent system asymptotic stability output feedback control time delay discrete-time chaotic neural network Takagi and Sugeno (T-S) fuzzy model 


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© Science in China Press 2007

Authors and Affiliations

  • Liu MeiQin 
    • 1
  1. 1.College of Electrical EngineeringZhejiang UniversityHangzhouChina

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