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Nonfragile Guaranteed Cost Control and Optimization for Interconnected Systems of Neutral Type

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  • Heli Hu
  • Dan Zhao
  • Qingling Zhang

Abstract

The design and optimization problems of the nonfragile guaranteed cost control are investigated for a class of interconnected systems of neutral type. A novel scheme, viewing the interconnections with time-varying delays as effective information but not disturbances, is developed to decrease the conservatism. Many techniques on decomposing and magnifying the matrices are utilized to obtain the guaranteed cost of the considered system. Also, an algorithm is proposed to solve the nonlinear problem of the interconnected matrices. Based on this algorithm, the minimization of the guaranteed cost of the considered system is obtained by optimization. Further, the state feedback control is extended to the case in which the underlying system is dependent on uncertain parameters. Finally, two numerical examples are given to illustrate the proposed method, and some comparisons are made to show the advantages of the schemes of dealing with the interconnections.

Suggested Citation

  • Heli Hu & Dan Zhao & Qingling Zhang, 2013. "Nonfragile Guaranteed Cost Control and Optimization for Interconnected Systems of Neutral Type," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-15, July.
    • Handle: RePEc:hin:jnlmpe:586091
    DOI: 10.1155/2013/586091
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