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

Acta Polytechnica

M. Valášek¹  Taha H. S. Abdelaziz¹ 

关键词: pole placement;    state-derivative feedback;    linear single-input systems;    feedback stabilization;   

DOI  :  

来源: Czech Technical University in Prague, Faculty of M

【 摘 要 】

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.

【 授权许可】

Unknown