Displaying similar documents to “A pencil approach to high gain feedback and generalized state space systems”

Direct algorithm for pole placement by state-derivative feedback for multi-inputlinear systems - nonsingular case

Taha H. S. Abdelaziz, Michael Valášek (2005)



This paper deals with the direct solution of the pole placement problem by state-derivative feedback for multi- input linear systems. The paper describes the solution of this pole placement problem for any controllable system with nonsingular system matrix and nonzero desired poles. Then closed-loop poles can be placed in order to achieve the desired system performance. The solving procedure results into a formula similar to Ackermann one. Its derivation is based on the transformation...

Stabilization of second-order systems by non-linear feedback

Paweł Skruch (2004)

International Journal of Applied Mathematics and Computer Science


A stabilization problem of second-order systems by non-linear feedback is considered. We discuss the case when only position feedback is available. The non-linear stabilizer is constructed by placing actuators and sensors in the same location and by using a parallel compensator. The stability of the closed-loop system is proved by LaSalle's theorem. The distinctive feature of the solution is that no transformation to a first-order system is invoked. The results of analytic and numerical...