Design of poles of controller in strongly stable generalized predictive control using symbolic computation software

This paper proposes a method to specify straightforwardly poles of controllers of strongly stable generalized predictive control(GPC) systems using symbolic computation software. Strongly stable control system is defined as a system having both of stable poles of closed loop systems and stable poles of controllers. That is, the system is stable even when feedback loop is cut by an accident. The authors have already derived a strongly stable controller for GPC systems by extending the controllers to two degree of freedom compensators and using coprime factorization approach. To design the strongly stable systems, we need to specify both of the poles of closedloop and poles of controllers. So far we do not have a method to deign directly the poles and we need to use trial-anderror method to specify the controller’s poles. To specify the poles directly, we need to calculate design parameters from given desirable poles analytically, not numerically. To calculate poles analytically, symbolic computation software is useful. So far symbolic computation software requires large amount of computer resources and until recently, the software was not practically available. But, recently computer technology is developed so fast that the software becomes practically usable. Hence this paper proposes to use the symbolic computation software in design of GPC controller poles.