Eigenstructure Assignment Method and Its Applications to the Constrained Problem

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

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.

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