Design of multivariable deadbeat controllers using reduced order models

This study is concerned with the design of minimum Frobenius norm deadbeat controllers using reduced order models. Deadbeat controllers force the non-zero initial states of a linear multivariable discrete time system to the origin of the state space in minimum time. A controller of minimum Frobenius norm achieves such response with least effort. The deadbeat controllers are designed on the basis of eigenspectrum assignment. In general, this approach permits a freedom in the selection of the closed-loop Jordan matrix which is used in the design of parametric controllers. In this presentation, it is demonstrated that the task of deadbeat controller design assignment can be achieved via reduced order models. The computational requirement involved with the selection of the free parameters that yield a minimum Frobenius norm deadbeat controller are greatly simplified --Abstract, page iii