Control parameterization method of linear systems with multiple time-delays
多时滞线性系统的控制参数优化方法

This paper studies the optimal control method using the control parameterization for a class of optimal control problems involving linear systems subject to continuous state inequality constraints where both the state and the control are allowed to have different time delays. The control of the dynamic system is approximated by a piecewise constant function whose magnitudes are taken as decision vectors. Then, formulae are derived for computing the gradients of the cost and constraint functions. On this basis, a computational method for finding the optimal control is obtained by using the sequential quadratic programming(SQP) algorithm. This computational method is applied to the purification process of zinc hydrometallurgy. The numerical simulation shows that the amount of zinc powder added can be decreased significantly so that the wastage of resources is avoided.