针对某型纯电动汽车,设计双电动机耦合驱动系统,并进行电动机参数匹配,提出了电动机耦合驱动效率最优控制策略.对驱动系统的工作模式进行分析,通过序列二次规划算法计算出电动机最优工作点以及驱动系统效率.基于驱动系统效率最优原则,...针对某型纯电动汽车,设计双电动机耦合驱动系统,并进行电动机参数匹配,提出了电动机耦合驱动效率最优控制策略.对驱动系统的工作模式进行分析,通过序列二次规划算法计算出电动机最优工作点以及驱动系统效率.基于驱动系统效率最优原则,通过比较每个工作点的4种工作模式下的驱动系统效率,提出多模式切换下双电动机耦合驱动系统的控制策略,重点对模式识别控制策略进行研究.建立联合仿真模型对所提出的效率最优控制策略进行试验验证.结果表明:提出的双电动机耦合驱动系统效率最优控制策略具有良好的控制效果,在整个NEDC(new European driving cycle)循环工况中,双电动机耦合驱动系统的平均效率为85.9%,驱动系统效率大于85.0%的电动机工作点占整个工作区间的55.0%,电动机可以工作在较高的效率区间内,电动机的负荷率更高,车辆动力性能和经济性能得到了提升.展开更多
This paper presents a design of optimal controllers with respect to a meaningful cost function to force an underactuated omni-directional intelligent navigator （ODIN） under unknown constant environmental loads to tr...This paper presents a design of optimal controllers with respect to a meaningful cost function to force an underactuated omni-directional intelligent navigator （ODIN） under unknown constant environmental loads to track a reference trajectory in two-dimensional space. Motivated by the vehicle＇s steering practice, the yaw angle regarded as a virtual control plus the surge thrust force are used to force the position of the vehicle to globally track its reference trajectory. The control design is based on several recent results developed for inverse optimal control and stability analysis of nonlinear systems, a new design of bounded disturbance observers, and backstepping and Lyapunov＇s direct methods. Both state- and output-feedback control designs are addressed. Simulations are included to illustrate the effectiveness of the proposed results.展开更多
The present paper studies time-consistent solutions to an investment-reinsurance problem under a mean-variance framework.The paper is distinguished from other literature by taking into account the interests of both an...The present paper studies time-consistent solutions to an investment-reinsurance problem under a mean-variance framework.The paper is distinguished from other literature by taking into account the interests of both an insurer and a reinsurer jointly.The claim process of the insurer is governed by a Brownian motion with a drift.A proportional reinsurance treaty is considered and the premium is calculated according to the expected value principle.Both the insurer and the reinsurer are assumed to invest in a risky asset,which is distinct for each other and driven by a constant elasticity of variance model.The optimal decision is formulated on a weighted sum of the insurer’s and the reinsurer’s surplus processes.Upon a verification theorem,which is established with a formal proof for a more general problem,explicit solutions are obtained for the proposed investment-reinsurance model.Moreover,numerous mathematical analysis and numerical examples are provided to demonstrate those derived results as well as the economic implications behind.展开更多
This paper discusses a problem of optimal tracking for a linear control system driven by fractional Brownian motion.An equation is obtained for the linear Markov feedback control.The existence and uniqueness of the so...This paper discusses a problem of optimal tracking for a linear control system driven by fractional Brownian motion.An equation is obtained for the linear Markov feedback control.The existence and uniqueness of the solution to the equation are also studied.展开更多
A combined method consisting of the mixed finite element method for flow and the local discontinuous Galerkin method for transport is introduced for the one-dimensional coupled system of incompressible miscible displa...A combined method consisting of the mixed finite element method for flow and the local discontinuous Galerkin method for transport is introduced for the one-dimensional coupled system of incompressible miscible displacement problem. Optimal error estimates in L∞(0,T;L2) for concentration c,in L2(0,T;L2)for cxand L∞(0,T;L2) for velocity u are derived. The main technical difficulties in the analysis include the treatment of the inter-element jump terms which arise from the discontinuous nature of the numerical method,the nonlinearity,and the coupling of the models. Numerical experiments are performed to verify the theoretical results. Finally,we apply this method to the one-dimensional compressible miscible displacement problem and give the numerical experiments to confirm the efficiency of the scheme.展开更多
文摘针对某型纯电动汽车,设计双电动机耦合驱动系统,并进行电动机参数匹配,提出了电动机耦合驱动效率最优控制策略.对驱动系统的工作模式进行分析,通过序列二次规划算法计算出电动机最优工作点以及驱动系统效率.基于驱动系统效率最优原则,通过比较每个工作点的4种工作模式下的驱动系统效率,提出多模式切换下双电动机耦合驱动系统的控制策略,重点对模式识别控制策略进行研究.建立联合仿真模型对所提出的效率最优控制策略进行试验验证.结果表明:提出的双电动机耦合驱动系统效率最优控制策略具有良好的控制效果,在整个NEDC(new European driving cycle)循环工况中,双电动机耦合驱动系统的平均效率为85.9%,驱动系统效率大于85.0%的电动机工作点占整个工作区间的55.0%,电动机可以工作在较高的效率区间内,电动机的负荷率更高,车辆动力性能和经济性能得到了提升.
基金Supported in Part by the Australian Research Council under Grant DP0988424
文摘This paper presents a design of optimal controllers with respect to a meaningful cost function to force an underactuated omni-directional intelligent navigator （ODIN） under unknown constant environmental loads to track a reference trajectory in two-dimensional space. Motivated by the vehicle＇s steering practice, the yaw angle regarded as a virtual control plus the surge thrust force are used to force the position of the vehicle to globally track its reference trajectory. The control design is based on several recent results developed for inverse optimal control and stability analysis of nonlinear systems, a new design of bounded disturbance observers, and backstepping and Lyapunov＇s direct methods. Both state- and output-feedback control designs are addressed. Simulations are included to illustrate the effectiveness of the proposed results.
基金supported by National Natural Science Foundation of China (Grant Nos. 11301376, 71201173 and 71571195)China Scholarship Council, the Natural Sciences and Engineering Research Council of Canada (NSERC)+2 种基金Society of Actuaries Centers of Actuarial Excellence Research Grant, Guangdong Natural Science Funds for Distinguished Young Scholar (Grant No. 2015A030306040)Natural Science Foundation of Guangdong Province of China (Grant No. 2014A030310195)for Ying Tung Eduction Foundation for Young Teachers in the Higher Education Institutions of China (Grant No. 151081)
文摘The present paper studies time-consistent solutions to an investment-reinsurance problem under a mean-variance framework.The paper is distinguished from other literature by taking into account the interests of both an insurer and a reinsurer jointly.The claim process of the insurer is governed by a Brownian motion with a drift.A proportional reinsurance treaty is considered and the premium is calculated according to the expected value principle.Both the insurer and the reinsurer are assumed to invest in a risky asset,which is distinct for each other and driven by a constant elasticity of variance model.The optimal decision is formulated on a weighted sum of the insurer’s and the reinsurer’s surplus processes.Upon a verification theorem,which is established with a formal proof for a more general problem,explicit solutions are obtained for the proposed investment-reinsurance model.Moreover,numerous mathematical analysis and numerical examples are provided to demonstrate those derived results as well as the economic implications behind.
基金partially supported by a grant from the Simons Foundation #209206
文摘This paper discusses a problem of optimal tracking for a linear control system driven by fractional Brownian motion.An equation is obtained for the linear Markov feedback control.The existence and uniqueness of the solution to the equation are also studied.
基金supported by National Natural Science Foundation of China(Grant No.11101431)the Fundamental Research Funds for the Central Universities
文摘A combined method consisting of the mixed finite element method for flow and the local discontinuous Galerkin method for transport is introduced for the one-dimensional coupled system of incompressible miscible displacement problem. Optimal error estimates in L∞(0,T;L2) for concentration c,in L2(0,T;L2)for cxand L∞(0,T;L2) for velocity u are derived. The main technical difficulties in the analysis include the treatment of the inter-element jump terms which arise from the discontinuous nature of the numerical method,the nonlinearity,and the coupling of the models. Numerical experiments are performed to verify the theoretical results. Finally,we apply this method to the one-dimensional compressible miscible displacement problem and give the numerical experiments to confirm the efficiency of the scheme.
