This paper describes an optimization problem to minimize the cost of power consumption for the electrochemical process of zinc (EPZ) depending on varying prices of electrical power. A series of conditional experiments was conducted to obtain enough data, which reflect the complex relationships among the factors influencing power consumption. Two backpropagation neural networks are used to build a process model that describes these relationships. An equivalent Hopfield neural network is constructed to solve this nonlinear optimization problem with technological constraints, a penalty function is introduced into the network energy function to meet the equality constraints, and inequality constraints are removed by altering the sigmoid function. An optimal power-dispatching control system (OPDCS) has been developed to provide an optimal power-dispatching scheme and keep the EPZ running economically. Since the OPDCS was put into service in a smeltery, the cost of power consumption has decreased significantly, and it also contributes to balancing the power grid load.

针对一类具有不确定性关联大系统，研究其鲁棒分散可靠状态反馈H∞控制器的设计方法。采用线性矩阵不等式的方法，给出了当控制器在规定范围内的一部分失效时控制器存在的充分条件，并能保证闭环系统可靠稳定和具有一定的H∞性能。仿真例子说明了方法的有效性。

研究一类状态矩阵、控制矩阵及关联矩阵中存在数值界不确定性关联大系统的分散鲁棒H∞输出反馈控制器设计方法。基于有界实引理，将控制器的存在条件归结为一个非线性矩阵不等式，采用同伦迭代方法求解控制器，使闭环大系统鲁棒稳定，并且满足给定的H∞性能指标。最后通过仿真验证了该方法的有效性。

The robust H∞ descriptor output feedback control problem for descriptor uncertain system was investigated. The uncertainties are value bounded and exist in the state and control input matrices. A design method based on the bounded real lemma was developed for a descriptor dynamic output feedback controller, which was reduced to a feasibility problem for a set of matrix inequalities including a nonlinear matrix inequality (NLMI). It was proposed to solve the NLMI iteratively by the idea of homotopy and Schur complement lemma, where some of the variables were fixed alternately at each iteration to reduce the NLMI to a linear matrix inequality (LMI). The controller which enables the closed-loop system robust stable and satisfies the given H∞ performance was obtained by the offered homotopy iterative method. At last a numerical example was given to demonstrate the effectiveness of the method.