A Direct Algorithm for Pole Placement by State-derivative Feedback for Single-input Linear Systems

Authors

  • Taha H. S. Abdelaziz
  • M. Valášek

DOI:

https://doi.org/10.14311/500

Keywords:

pole placement, state-derivative feedback, linear single-input systems, feedback stabilization

Abstract

This paper deals with the direct solution of the pole placement problem for single-input linear systems using state-derivative feedback. This pole placement problem is always solvable for any controllable systems if all eigenvalues of the original system are nonzero. Then any arbitrary closed-loop poles can be placed in order to achieve the desired system performance. The solving procedure results in a formula similar to the Ackermann formula. Its derivation is based on the transformation of a linear single-input system into Frobenius canonical form by a special coordinate transformation, then solving the pole placement problem by state derivative feedback. Finally the solution is extended also for single-input time-varying control systems. The simulation results are included to show the effectiveness of the proposed approach.

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Author Biographies

Taha H. S. Abdelaziz

M. Valášek

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Published

2003-01-06

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Section

Articles