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Control Synthesis of Uncertain Roesser-Type Discrete-Time Two-Dimensional Systems

Author

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  • Yan Zhao
  • Tieyan Zhang
  • Dan Zhao
  • Cunxu Wang
  • Miao LI

Abstract

This paper is concerned with control synthesis of uncertain Roesser-type discrete-time two-dimensional (2D) systems. The mathematical model of the 2D system’s parameter uncertainty, which may appear typically in many actual environment, is modeled as a convex bounded uncertain domain. By using the Lyapunov stability theory, stabilization conditions is proposed in with the purpose of ensuring the robust asymptotical stability of the underlying closed-loop uncertain Roesser-type discrete-time 2D systems. Furthermore, the obtained result of this paper is formulated in the form of linear matrix inequalities (LMIs), which can be easily solved via standard numerical software. Finally, a numerical example is also provided to demonstrate the effectiveness of the proposed result.

Suggested Citation

  • Yan Zhao & Tieyan Zhang & Dan Zhao & Cunxu Wang & Miao LI, 2014. "Control Synthesis of Uncertain Roesser-Type Discrete-Time Two-Dimensional Systems," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-5, March.
    • Handle: RePEc:hin:jnlmpe:490174
    DOI: 10.1155/2014/490174
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