In this paper, the analytic solutions to constrained optimal control problems are considered. A novel approach based on canonical duality theory is developed to derive the analytic solution of this problem by reformul...In this paper, the analytic solutions to constrained optimal control problems are considered. A novel approach based on canonical duality theory is developed to derive the analytic solution of this problem by reformulating a constrained optimal control problem into a global optimization problem. A differential flow is presented to deduce some optimality conditions for solving global optimizations, which can be considered as an extension and a supplement of the previous results in canonical duality theory. Some examples are given to illustrate the applicability of our results.展开更多
Space applications have raised the demand on autonomy, security and reliability for current transportation vehicle, which require guidance technology of vehicle must have strong robustness and adaptability. Therefore,...Space applications have raised the demand on autonomy, security and reliability for current transportation vehicle, which require guidance technology of vehicle must have strong robustness and adaptability. Therefore, it is needed to research exoatmospheric autonomous iterative guidance method with stronger adaptivity and higher accuracy. Based on preliminary research results, two new iterative models with performance index of maximum terminal energy for exoatmospheric autonomous iterative guidance method are proposed in this paper. Then comparative analysis between preliminary research iterative model and two new iterative models proposed is performed. The results demonstrate that the inner update iterative model proposed is the least sensitive to initial values and have the best convergence and performance in the three iterative models.展开更多
文摘In this paper, the analytic solutions to constrained optimal control problems are considered. A novel approach based on canonical duality theory is developed to derive the analytic solution of this problem by reformulating a constrained optimal control problem into a global optimization problem. A differential flow is presented to deduce some optimality conditions for solving global optimizations, which can be considered as an extension and a supplement of the previous results in canonical duality theory. Some examples are given to illustrate the applicability of our results.
文摘Space applications have raised the demand on autonomy, security and reliability for current transportation vehicle, which require guidance technology of vehicle must have strong robustness and adaptability. Therefore, it is needed to research exoatmospheric autonomous iterative guidance method with stronger adaptivity and higher accuracy. Based on preliminary research results, two new iterative models with performance index of maximum terminal energy for exoatmospheric autonomous iterative guidance method are proposed in this paper. Then comparative analysis between preliminary research iterative model and two new iterative models proposed is performed. The results demonstrate that the inner update iterative model proposed is the least sensitive to initial values and have the best convergence and performance in the three iterative models.
