TITLE:
Eigenstructure Assignment Method and Its Applications to the Constrained Problem
AUTHORS:
H. Maarouf, A. Baddou
KEYWORDS:
Sylvester Equation, Linear Continuous-Time Systems, Constrained Control
JOURNAL NAME:
World Journal of Engineering and Technology,
Vol.2 No.2,
May
27,
2014
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.