Abstract
In some control problems, it is convenient to use a precompensator to alter the transfer function of the system such that the transfer function of the compensated system has a specified property. Then, if possible, the action of the compensator on the system is realized by a static state feedback law applied to the system. When the compensator is square and non-singular, the state feedback is regular and the problem has already been solved. Non-square compensators, however, result in non-regular state feedback. In this paper, necessary and sufficient conditions are presented for the compensated system to be stabilizable by such a non-regular static state feedback law.
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