Eigenstructure Assignment Method and Its Applications to the Constrained Problem ()
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.
Share and Cite:
Maarouf, H. and Baddou, A. (2014) Eigenstructure Assignment Method and Its Applications to the Constrained Problem.
World Journal of Engineering and Technology,
2, 159-170. doi:
10.4236/wjet.2014.22017.