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A Free-Modular Algorithm for Minimal Design of Linear Multivariable Systems

1975; Elsevier BV; Volume: 8; Issue: 1 Linguagem: Inglês

10.1016/s1474-6670(17)67740-1

2589-3653

Michael K. Sain,

Intuitively, the minimal design problem (MDP) for multivariable systems is to select from the set of dynamical systems satisfying a given dynamical constraint a system which can be realized with the smallest number of dynamical elements. In 1973, Wang and Davison gave an MDP algorithm; but an existence test was not in this algorithm. Building upon these results, Forney gave a three-step algorithm which solves MDP, including the question of existence. The present work reformulates MDP in terms of free polynomial modules and gives an improved two-step MDP Algorithm, providing a complete solution including existence and effectively eliminating the first of Forney's three steps.