Eigenstructure Assignment Method and Its Applications to the Constrained Problem

H. Maarouf, A. Baddou

Mathematics and Computer Sciences Department Sidi Bouzid, Safi, Morocco.

DOI: 10.4236/wjet.2014.22017                

Abstract

A partial eigenstructure assignment method that keeps the open-loop stable eigenvalues and the corresponding eigenspace unchanged is presented. This method generalizes a large class of systems previous methods and can be applied to solve the constrained control problem for linear invariant continuous-time systems. Besides, it can be also applied to make a total eigenstructure assignment. Indeed, the problem of finding a stabilizing regulator matrix gain taking into account the asymmetrical control constraints is transformed to a Sylvester equation resolution. Examples are given to illustrate the obtained results.

Keywords

Sylvester Equation, Linear Continuous-Time Systems, Constrained Control

Conflicts of Interest

The authors declare no conflicts of interest.

References

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