广义预测控制中Diophantine方程的显式解

The Explicit Solution to Diophantine Equation in Generalized Predictive Control

利用被控对象的离散差分方程与其状态空间能观标准型之间的关系,推导出广义预测控制中Diophantine方程的显式解,从而避免了其递推求解,使广义预测控制的应用更加方便．

Abstract Based on the relationship between the discretc-time difference equation and its observable state-space canonical form, the explicit solution to Diophantine equation in gen- eralized predictive control is derived. Thus the recursive solving of Diophantine equation can be avoided and applications of generalized predictive control becomes much more convenient.