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Less Conservative Control Design for Linear Systems with Polytopic Uncertainties via State-Derivative Feedback

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  • Emerson R. P. da Silva
  • Edvaldo Assunção
  • Marcelo C. M. Teixeira
  • Luiz Francisco S. Buzachero

Abstract

The motivation for the use of state-derivative feedback instead of conventional state feedback is due to its easy implementation in some mechanical applications, for example, in vibration control of mechanical systems, where accelerometers have been used to measure the system state. Using linear matrix inequalities (LMIs) and a parameter-dependent Lyapunov functions (PDLF) allowed by Finsler’s lemma, a less conservative approach to the controller design via state-derivative feedback, is proposed in this work, with and without decay rate restriction, for continuous-time linear systems subject to polytopic uncertainties. Finally, numerical examples illustrate the efficiency of the proposed method.

Suggested Citation

  • Emerson R. P. da Silva & Edvaldo Assunção & Marcelo C. M. Teixeira & Luiz Francisco S. Buzachero, 2012. "Less Conservative Control Design for Linear Systems with Polytopic Uncertainties via State-Derivative Feedback," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-21, February.
    • Handle: RePEc:hin:jnlmpe:315049
    DOI: 10.1155/2012/315049
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