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针对一类具有可确定“时滞”的线性时变多变量控制系统的性能评价方法进行研究。利用特别定义的关联矩阵和正常相乘的方法,计算出LTV MIMO过程广义最小方差控制律的解析解,并由此获得了广义最小方差基准。为避免估计关联矩阵所带来的困难,利用过程数据和关联矩阵阶数建立了LTV MIMO GMV基准上界。理论和仿真研究表明,上述方法能够正确和有效地评价LTV MIMO系统。
A method for evaluating the performance of a class of linear time-varying multivariable control system with determinable “time delay” is studied. The analytic solution of generalized minimum variance control law for LTV MIMO process is calculated by using the specially defined correlation matrix and normal multiplication method, and the generalized minimum variance benchmark is obtained. To avoid the difficulty of estimating the correlation matrix, LTV MIMO GMV benchmark upper bounds were established using the process data and the correlation matrix order. Theoretical and simulation studies show that the above method can evaluate LTV MIMO system correctly and effectively.