一类具有稳定性的广义预测控制算法

A Weighted Predictive Control Algorithm with Guaranteed Stability

讨论加权广义预测控制算法(WGPC)，通过定义过渡时域和在性能指标中引入加权多项式，限制预涮时域大于控制时域与过渡时域的和，保证了预测控制算法的稳定性；给出了控制增量的表达式．研究表明，算法不仅能保证系统的稳定性且计算量没有增加，且可退化为带有终端等式稳定性约束的预测控制算法，从而可以进行统一分析．加权多项式根据一个虚拟的输出反馈来设计，数值仿真结果说明了该方法的有效性．

A stable generalized predictive control is proposed.The closed-loop stability isguaranteed by the added weighted polynomials in the performance index and the conditionthat the predictive horizon is greater than the transitive horizon plus the control horizon.Thecalculation burden is not increased and this algorithm can recede to the terminal constraintgeneralized predictive control.The weighted polynomials are decided by a virtual outputfeedback control.An example is given to illustrate the effectiveness of this method.