Improved Delay-independent $H_2$ Performance Analysis and Memoryless State Feedback for Linear Delay Systems with Polytopic Uncertainties

  • Xie, Wei (College of Automation Science and Technology, South China University of Technology)
  • Published : 2008.04.30

Abstract

An improved linear matrix inequality (LMI) representation of delay-independent $H_2$ performance analysis is introduced for linear delay systems with delays of any size. Based on this representation we propose a new $H_2$ memoryless state feedback design. By introducing a new matrix variable, the new LMI formulation enables us to parameterize memoryles s controllers without involving the Lyapunov variables in the formulations. By using a parameter-dependent Lyapunov function, this new representation proposed here provides us the results with less conservatism.

Keywords

References

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