An improved approach is presented in this paper to implement highly constrained cooperative guidance to attack a stationary target.The problem with time-varying Proportional Navigation(PN)gain is first formulated as a...An improved approach is presented in this paper to implement highly constrained cooperative guidance to attack a stationary target.The problem with time-varying Proportional Navigation(PN)gain is first formulated as a nonlinear optimal control problem,which is difficult to solve due to the existence of nonlinear kinematics and nonconvex constraints.After convexification treatments and discretization,the solution to the original problem can be approximately obtained by solving a sequence of Second-Order Cone Programming(SOCP)problems,which can be readily solved by state-of-the-art Interior-Point Methods(IPMs).To mitigate the sensibility of the algorithm on the user-provided initial profile,a Two-Stage Sequential Convex Programming(TSSCP)method is presented in detail.Furthermore,numerical simulations under different mission scenarios are conducted to show the superiority of the proposed method in solving the cooperative guidance problem.The research indicated that the TSSCP method is more tractable and reliable than the traditional methods and has great potential for real-time processing and on-board implementation.展开更多
We focus on second order duality for a class of multiobjective programming problem subject to cone constraints. Four types of second order duality models are formulated. Weak and strong duality theorems are establishe...We focus on second order duality for a class of multiobjective programming problem subject to cone constraints. Four types of second order duality models are formulated. Weak and strong duality theorems are established in terms of the generalized convexity, respectively. Converse duality theorems, essential parts of duality theory, are presented under appropriate assumptions. Moreover, some deficiencies in the work of Ahmad and Agarwal(2010) are discussed.展开更多
针对基于能量管理的高速飞行器轨迹优化问题,考虑发动机工作过程对飞行状态严格的约束要求,提出一种基于凸优化的高速飞行器轨迹优化方法。即认为发动机燃油耗尽关机、飞行器动力一定的前提下,求解射程最远的优化轨迹以满足高速长远距...针对基于能量管理的高速飞行器轨迹优化问题,考虑发动机工作过程对飞行状态严格的约束要求,提出一种基于凸优化的高速飞行器轨迹优化方法。即认为发动机燃油耗尽关机、飞行器动力一定的前提下,求解射程最远的优化轨迹以满足高速长远距离飞行任务需求。首先,在飞行器纵向动力学质点模型基础上进行简化处理,得到以飞行器质量为变量的四阶动力学方程,将考虑发动机工作约束的飞行器射程的最优轨迹求解问题,转化为一系列非线性规划问题;接着,将非线性规划问题转化为二阶锥规划(Second Order Cone Program,SOCP)问题,对动力学方程以及不等式约束线性化、离散化处理后,采用原对偶内点法求解,获得最优轨迹;最后,仿真验证了所提优化方法在发动机工作约束范围内,解得了射程最大的最优轨迹。展开更多
混合式配电变压器(hybrid distribution transformer,HDT)能够替代传统配电变压器,在配电网中实现无功功率动态调节,从而提升电能质量。为了将HDT应用于主动配电网电压无功优化场景,对其拓扑结构以及运行机理进行分析,由此推导其可控无...混合式配电变压器(hybrid distribution transformer,HDT)能够替代传统配电变压器,在配电网中实现无功功率动态调节,从而提升电能质量。为了将HDT应用于主动配电网电压无功优化场景,对其拓扑结构以及运行机理进行分析,由此推导其可控无功功率范围。以稳定节点电压和控制成本最小化为目标,建立含多台HDT的无功动态优化模型。为解决动态优化模型存在由于线路参数误差所导致的模型不确定性问题,设计一种鲁棒模型预测控制策略。通过确定模型不确定性的边界,将含不确定性约束的优化问题转化为Min-Max问题,并最终转化含二阶锥约束的二次规划问题。在有效应对模型不确定性影响的同时,实现优化问题高效求解。在改进后的IEEE 33节点系统上的测试结果,验证了所提控制策略的有效性和鲁棒性。展开更多
基金supported by the Joint Foundation of the Ministry of Education of China(No.6141A02022340).
文摘An improved approach is presented in this paper to implement highly constrained cooperative guidance to attack a stationary target.The problem with time-varying Proportional Navigation(PN)gain is first formulated as a nonlinear optimal control problem,which is difficult to solve due to the existence of nonlinear kinematics and nonconvex constraints.After convexification treatments and discretization,the solution to the original problem can be approximately obtained by solving a sequence of Second-Order Cone Programming(SOCP)problems,which can be readily solved by state-of-the-art Interior-Point Methods(IPMs).To mitigate the sensibility of the algorithm on the user-provided initial profile,a Two-Stage Sequential Convex Programming(TSSCP)method is presented in detail.Furthermore,numerical simulations under different mission scenarios are conducted to show the superiority of the proposed method in solving the cooperative guidance problem.The research indicated that the TSSCP method is more tractable and reliable than the traditional methods and has great potential for real-time processing and on-board implementation.
基金supported by National Natural Science Foundation of China (Grant Nos. 11431004, 11271391 and 11201511)the Project of Chongqing Science and Technology Committee (Grant No. cstc2014pt-sy00001)Theoretical Foundation and Application Procedure of Environmental Data Envelopment Analysis Model (Grant No. B-Q22L)
文摘We focus on second order duality for a class of multiobjective programming problem subject to cone constraints. Four types of second order duality models are formulated. Weak and strong duality theorems are established in terms of the generalized convexity, respectively. Converse duality theorems, essential parts of duality theory, are presented under appropriate assumptions. Moreover, some deficiencies in the work of Ahmad and Agarwal(2010) are discussed.
文摘针对基于能量管理的高速飞行器轨迹优化问题,考虑发动机工作过程对飞行状态严格的约束要求,提出一种基于凸优化的高速飞行器轨迹优化方法。即认为发动机燃油耗尽关机、飞行器动力一定的前提下,求解射程最远的优化轨迹以满足高速长远距离飞行任务需求。首先,在飞行器纵向动力学质点模型基础上进行简化处理,得到以飞行器质量为变量的四阶动力学方程,将考虑发动机工作约束的飞行器射程的最优轨迹求解问题,转化为一系列非线性规划问题;接着,将非线性规划问题转化为二阶锥规划(Second Order Cone Program,SOCP)问题,对动力学方程以及不等式约束线性化、离散化处理后,采用原对偶内点法求解,获得最优轨迹;最后,仿真验证了所提优化方法在发动机工作约束范围内,解得了射程最大的最优轨迹。
文摘混合式配电变压器(hybrid distribution transformer,HDT)能够替代传统配电变压器,在配电网中实现无功功率动态调节,从而提升电能质量。为了将HDT应用于主动配电网电压无功优化场景,对其拓扑结构以及运行机理进行分析,由此推导其可控无功功率范围。以稳定节点电压和控制成本最小化为目标,建立含多台HDT的无功动态优化模型。为解决动态优化模型存在由于线路参数误差所导致的模型不确定性问题,设计一种鲁棒模型预测控制策略。通过确定模型不确定性的边界,将含不确定性约束的优化问题转化为Min-Max问题,并最终转化含二阶锥约束的二次规划问题。在有效应对模型不确定性影响的同时,实现优化问题高效求解。在改进后的IEEE 33节点系统上的测试结果,验证了所提控制策略的有效性和鲁棒性。
