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State-PID Feedback for Pole Placement of LTI Systems

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  • Sarawut Sujitjorn
  • Witchupong Wiboonjaroen

Abstract

Pole placement problems are especially important for disturbance rejection and stabilization of dynamical systems and regarded as algebraic inverse eigenvalue problems. In this paper, we propose gain formulae of state feedback through PID-elements to achieve desired pole placement for a delay-free LTI system with single input. Real and complex stable poles can be assigned with the proposed compact gain formulae. Numerical examples show that our proposed gain formulae can be used effectively resulting in very satisfactory responses.

Suggested Citation

  • Sarawut Sujitjorn & Witchupong Wiboonjaroen, 2011. "State-PID Feedback for Pole Placement of LTI Systems," Mathematical Problems in Engineering, Hindawi, vol. 2011, pages 1-20, September.
    • Handle: RePEc:hin:jnlmpe:929430
    DOI: 10.1155/2011/929430
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