NEW OPTIMALITY CONDITION OF FIXED-END-POINT REGULATOR FOR MULTIINPUT LINEAR DIGITAL-SYSTEMS

This paper discusses the regulator problem with the zero terminal stat e for a multi-input linear digital system. First, for a general additi ve performance index, the fundamental structure of the regulator which drives the state to zero within a finite time is obtained. This probl em is divided into three phases: the new free-end-point problem in the first phase, the new free-end-point problem for the new time-variant system with the time-variant structure of the new inputs in the second phase, and the constant gain special deadbeat control in the third ph ase. That is, the new optimality condition of the fixed-end-point regu lator is expressed by the special deadbeat control and the optimality condition of the induced free-end-point regulator. Furthermore, the cl osed-loop expression for the quadratic performance index is obtained t o show the effectiveness of the new optimality condition.