In the flight process of aircrafts, their electromechanical actuators(EMA) must have the ability of enduring uncertainties caused by factors such as load disturbance, the variation of work temperature and the EMA's...In the flight process of aircrafts, their electromechanical actuators(EMA) must have the ability of enduring uncertainties caused by factors such as load disturbance, the variation of work temperature and the EMA's nonlinearity. At present, in order to increase the EMA's robustness on the uncertainties, the H, control method has been applied in aircrafts. The major problems with standard H∞ control lie in the large overshoot of step response and the high orders of the controller. For the purpose of addressing the two problems, this paper investigates several kinds of robust control strategies of the EMA. A mathematical model of the EMA is first built, and then with MATLAB software a H∞ controller and an improved hybrid robust controller composed of a reduced order H∞controller and a lead compensator are designed. In order to make a scientific comparison of the control effects of H∞ controller, hybrid controller and classic proportion-integral-differential(PID) controller, a simulation research is made in respect of the open loop frequency response and the closed loop step response of the three controllers. For comparing the robustness of the three controllers, the load torque is entered as a disturbance and the disturbance response of error and control input are thus obtained. The experiments with the three controllers are also conducted. Through giving the EMA a command and a disturbance torque successively, the transient response and disturbing process of EMA are recorded. The simulation and experiment results show that with the help of the hybrid controller, the EMA not only guarantees good dynamic characteristics, but also has strong robustness of disturbance rejection. Therefore, the excogitated H∞ hybrid control method effectively solves the problem of large overshoot in dynamic response, and moderately meets the requirement of overcoming the uncertainties in the EMA of aircrafts.展开更多
Minimizing the impact of the mixed uncertainties(i.e.,the aleatory uncertainty and the epistemic uncertainty) for a complex product of compliant mechanism(CPCM) quality improvement signifies a fascinating research top...Minimizing the impact of the mixed uncertainties(i.e.,the aleatory uncertainty and the epistemic uncertainty) for a complex product of compliant mechanism(CPCM) quality improvement signifies a fascinating research topic to enhance the robustness.However, most of the existing works in the CPCM robust design optimization neglect the mixed uncertainties, which might result in an unstable design or even an infeasible design. To solve this issue, a response surface methodology-based hybrid robust design optimization(RSM-based HRDO) approach is proposed to improve the robustness of the quality characteristic for the CPCM via considering the mixed uncertainties in the robust design optimization. A bridge-type amplification mechanism is used to manifest the effectiveness of the proposed approach. The comparison results prove that the proposed approach can not only keep its superiority in the robustness, but also provide a robust scheme for optimizing the design parameters.展开更多
A compliant landing strategy for a trotting quadruped robot on unknown rough terrains based on contact force control is presented. Firstly, in order to lower the disturbance caused by the landing impact force, a landi...A compliant landing strategy for a trotting quadruped robot on unknown rough terrains based on contact force control is presented. Firstly, in order to lower the disturbance caused by the landing impact force, a landing phase is added between the swing phase and the stance phase, where the desired contact force is set as a small positive constant. Secondly, the joint torque optimization of the stance legs is formulated as a quadratic programming(QP) problem subject to equality and inequality/bound constraints. And a primal-dual dynamical system solver based on linear variational inequalities(LVI) is applied to solve this QP problem. Furthermore, based on the optimization results, a hybrid motion/force robust controller is designed to realize the tracking of the contact force, while the constraints of the stance feet landing angles are fulfilled simultaneously. Finally, the experiments are performed to validate the proposed methods.展开更多
针对微网独立运行时面临运行成本高,受可再生能源出力和多能负荷功率不确定性影响大等问题,提出一种基于混合两阶段鲁棒优化的多微网合作运行方法。首先,为了应对源荷双重不确定性挑战,在传统两阶段鲁棒优化基础上,提出一种基于多场景...针对微网独立运行时面临运行成本高,受可再生能源出力和多能负荷功率不确定性影响大等问题,提出一种基于混合两阶段鲁棒优化的多微网合作运行方法。首先,为了应对源荷双重不确定性挑战,在传统两阶段鲁棒优化基础上,提出一种基于多场景数据的最恶劣概率场景驱动的混合两阶段鲁棒优化方法,并采用可并行计算列与约束生成(column and constraint generation,C&CG)算法来提高求解效率。然后,在建立的多微网点对点分布式能源交易系统框架上,根据纳什谈判理论构造多微网合作成本最小化问题和收益分配问题,并提出一种耦合可并行计算C&CG的交替方向乘子法进行求解。最后,根据各微网不同的贡献率,设计一种基于点对点电能交易贡献度的非对称纳什谈判机制来分配各微网的合作收益。算例结果表明,所提方法能兼顾系统的鲁棒性、经济性和隐私性,并实现每个微网公平合理的收益分配。展开更多
The problem of stabilizing a hybrid stochastic interval system is studied in this article. A hybrid interval system with suitable controls will become stable in the sense of mean-square exponential stability. State-fe...The problem of stabilizing a hybrid stochastic interval system is studied in this article. A hybrid interval system with suitable controls will become stable in the sense of mean-square exponential stability. State-feedback controls are designed based on the discrete-time state observations. Controls are put both in the drift and diffusion parts of the system. Criteria are derived in terms of linear matrix inequalities( LMI) to get the controllers. Also one example is given to illustrate our techniques.展开更多
Critical systems are typically complex systems that are required to perform reliably over a wide range of scenarios, or multistate world. Seldom does a single system exist that performs best for all plausible scenario...Critical systems are typically complex systems that are required to perform reliably over a wide range of scenarios, or multistate world. Seldom does a single system exist that performs best for all plausible scenarios. A robust solution, one that performs relatively well over a wide range of scenarios, is often the preferred choice for reduced risk at an acceptable cost. The alternative with the maximum expected utility may possess vulnerabilities that could be exploited. The best strategy is likely to be a hybrid solution. The von Neumann-Morgenstern Expected Utility Theory (EUT) would never select such a solution because, given its linear functional form, the expected utility of a hybrid solution cannot be greater than that of every constituent alternative. The continuity axiom and the independence axiom are assessed to be unrealistic for the problem of interest. Several well-known decision models are analyzed and demonstrated to be potentially misleading. The linear disappointment model modifies EUT by adding a term proportional to downside risk;however, it does not provide a mathematical basis for determining preferred hybrid solutions. The paper proposes a portfolio allocation model with stochastic optimization as a flexible and transparent method for defining choice problems and determining hybrid solutions for critical systems with desirable properties such as diversification and robustness.展开更多
考虑到海上风电出力的随机性以及日益突出的生态环境问题,以含柔性直流输电技术(voltagesource converter high voltage direct current,VSC-HVDC)的交直流系统为研究对象,提出了考虑条件风险价值(conditional valueatrisk,CVaR)的两阶...考虑到海上风电出力的随机性以及日益突出的生态环境问题,以含柔性直流输电技术(voltagesource converter high voltage direct current,VSC-HVDC)的交直流系统为研究对象,提出了考虑条件风险价值(conditional valueatrisk,CVaR)的两阶段分布鲁棒低碳经济优化模型,构建了基于Kullback-Leibler(KL)散度的概率分布模糊集,同时利用条件风险价值量化了极端场景下的尾部风险,使得模型能够同时考虑概率分布不确定性以及处于最坏概率分布中极端场景下的尾部损失;此外,将阶梯型碳交易机制并入所提分布鲁棒模型中,通过合理利用柔性资源和储能装置,增强系统运行的灵活性,在兼顾运行风险的前提下,降低碳排放量的目标。再者,为了提高计算效率,在列和约束生成算法(column-and-constraint generation method,C&CG)和Multi-cut Benders分解算法的基础上提出了双循环分解算法。最后,在基于改进的IEEE RTS 79测试系统中验证了所提模型及算法的有效性。展开更多
为解决源荷双侧不确定性对冷热电联供CCHP(combined cooling,heating and power)型微网经济运行带来的电量实时平衡问题,提出一种基于鲁棒理论的CCHP微网电、热、冷混合储能容量配置模型。基于鲁棒理论,建立源荷双侧不确定性变量合集。...为解决源荷双侧不确定性对冷热电联供CCHP(combined cooling,heating and power)型微网经济运行带来的电量实时平衡问题,提出一种基于鲁棒理论的CCHP微网电、热、冷混合储能容量配置模型。基于鲁棒理论,建立源荷双侧不确定性变量合集。考虑储能设备日折算成本,以微网运行成本最低为目标,采用自适应差分进化算法对模型进行求解,得到不同预测精度与置信概率下的微网储能最优容量合集。通过设置评价指标,选取最合适的储能配置方案,对微网配置储能前后的调度情况作对比。结果表明,基于鲁棒理论配置的电、热、冷这3类储能可有效提升微网在源荷双侧不确定下的电力电量实时平衡能力与运行经济性。展开更多
针对经典最近等值线迭代(ICCP)算法因重力异常测量误差导致匹配精度下降甚至失效的问题,提出联合抗差匹配算法以提高匹配精度及可靠性。首先,分析了匹配点集间的匹配残差在高斯噪声影响下呈非高斯分布,为抑制其影响,采用l_(p)范数代替l_...针对经典最近等值线迭代(ICCP)算法因重力异常测量误差导致匹配精度下降甚至失效的问题,提出联合抗差匹配算法以提高匹配精度及可靠性。首先,分析了匹配点集间的匹配残差在高斯噪声影响下呈非高斯分布,为抑制其影响,采用l_(p)范数代替l_(2)范数计算匹配残差,并利用匹配残差重调野值点以获得有效的匹配区域。在此基础上,提出混合稀疏ICCP算法,并利用其进行粗匹配,然后将粗匹配后的位置作为惯导系统(INS)指示位置,再使用经典ICCP算法进行精匹配,获得更高的定位精度。仿真结果表明,考虑重力异常测量误差的情况下,重力联合抗差匹配算法的误差最大值小于1 n mile,导航精度较传统ICCP算法提升60%以上,提升了算法的鲁棒性和匹配精度。展开更多
针对现有配电网鲁棒调度方法缺乏对不确定参数相关性问题的考虑,提出了一种基于数据驱动多面体集合的交直流混合配电网鲁棒调度方法。首先,构建分布式光伏出力的传统多面体集合,利用历史数据驱动形成了相关性包络图,通过弯曲多面体集合...针对现有配电网鲁棒调度方法缺乏对不确定参数相关性问题的考虑,提出了一种基于数据驱动多面体集合的交直流混合配电网鲁棒调度方法。首先,构建分布式光伏出力的传统多面体集合,利用历史数据驱动形成了相关性包络图,通过弯曲多面体集合边界,建立了相关性多面体集合模型。然后,在此基础上,针对相关性多面体集合存在鲁棒性差和保守性大的问题,建立了数据驱动的多面体集合模型。进一步,建立了基于数据驱动多面体集合的交直流混合配电网鲁棒调度模型,并采用列与约束生成(column and constraint generation,CCG)算法对鲁棒调度模型进行求解。最后,改进的IEEE33节点系统仿真结果表明,基于数据驱动多面体集合的交直流混合配电网鲁棒调度方法可以减少优化结果的保守性,提高其鲁棒性,证明了所提出方法的有效性。展开更多
基金supported by National Astronautic Foundation of China
文摘In the flight process of aircrafts, their electromechanical actuators(EMA) must have the ability of enduring uncertainties caused by factors such as load disturbance, the variation of work temperature and the EMA's nonlinearity. At present, in order to increase the EMA's robustness on the uncertainties, the H, control method has been applied in aircrafts. The major problems with standard H∞ control lie in the large overshoot of step response and the high orders of the controller. For the purpose of addressing the two problems, this paper investigates several kinds of robust control strategies of the EMA. A mathematical model of the EMA is first built, and then with MATLAB software a H∞ controller and an improved hybrid robust controller composed of a reduced order H∞controller and a lead compensator are designed. In order to make a scientific comparison of the control effects of H∞ controller, hybrid controller and classic proportion-integral-differential(PID) controller, a simulation research is made in respect of the open loop frequency response and the closed loop step response of the three controllers. For comparing the robustness of the three controllers, the load torque is entered as a disturbance and the disturbance response of error and control input are thus obtained. The experiments with the three controllers are also conducted. Through giving the EMA a command and a disturbance torque successively, the transient response and disturbing process of EMA are recorded. The simulation and experiment results show that with the help of the hybrid controller, the EMA not only guarantees good dynamic characteristics, but also has strong robustness of disturbance rejection. Therefore, the excogitated H∞ hybrid control method effectively solves the problem of large overshoot in dynamic response, and moderately meets the requirement of overcoming the uncertainties in the EMA of aircrafts.
基金supported by the National Natural Science Foundation of China(71702072 71811540414+2 种基金 71573115)the Natural Science Foundation for Jiangsu Institutions(BK20170810)the Ministry of Education of Humanities and Social Science Planning Fund(18YJA630008)
文摘Minimizing the impact of the mixed uncertainties(i.e.,the aleatory uncertainty and the epistemic uncertainty) for a complex product of compliant mechanism(CPCM) quality improvement signifies a fascinating research topic to enhance the robustness.However, most of the existing works in the CPCM robust design optimization neglect the mixed uncertainties, which might result in an unstable design or even an infeasible design. To solve this issue, a response surface methodology-based hybrid robust design optimization(RSM-based HRDO) approach is proposed to improve the robustness of the quality characteristic for the CPCM via considering the mixed uncertainties in the robust design optimization. A bridge-type amplification mechanism is used to manifest the effectiveness of the proposed approach. The comparison results prove that the proposed approach can not only keep its superiority in the robustness, but also provide a robust scheme for optimizing the design parameters.
基金Project(61473304)supported by the National Natural Science Foundation of ChinaProject(2015AA042202)supported by Hi-tech Research and Development Program of China
文摘A compliant landing strategy for a trotting quadruped robot on unknown rough terrains based on contact force control is presented. Firstly, in order to lower the disturbance caused by the landing impact force, a landing phase is added between the swing phase and the stance phase, where the desired contact force is set as a small positive constant. Secondly, the joint torque optimization of the stance legs is formulated as a quadratic programming(QP) problem subject to equality and inequality/bound constraints. And a primal-dual dynamical system solver based on linear variational inequalities(LVI) is applied to solve this QP problem. Furthermore, based on the optimization results, a hybrid motion/force robust controller is designed to realize the tracking of the contact force, while the constraints of the stance feet landing angles are fulfilled simultaneously. Finally, the experiments are performed to validate the proposed methods.
文摘针对微网独立运行时面临运行成本高,受可再生能源出力和多能负荷功率不确定性影响大等问题,提出一种基于混合两阶段鲁棒优化的多微网合作运行方法。首先,为了应对源荷双重不确定性挑战,在传统两阶段鲁棒优化基础上,提出一种基于多场景数据的最恶劣概率场景驱动的混合两阶段鲁棒优化方法,并采用可并行计算列与约束生成(column and constraint generation,C&CG)算法来提高求解效率。然后,在建立的多微网点对点分布式能源交易系统框架上,根据纳什谈判理论构造多微网合作成本最小化问题和收益分配问题,并提出一种耦合可并行计算C&CG的交替方向乘子法进行求解。最后,根据各微网不同的贡献率,设计一种基于点对点电能交易贡献度的非对称纳什谈判机制来分配各微网的合作收益。算例结果表明,所提方法能兼顾系统的鲁棒性、经济性和隐私性,并实现每个微网公平合理的收益分配。
基金Fundamental Research Funds for the Central Universities,China(No.2232014D3-13)Natural Science Foundation of Shanghai,China(No.17ZR1401300)
文摘The problem of stabilizing a hybrid stochastic interval system is studied in this article. A hybrid interval system with suitable controls will become stable in the sense of mean-square exponential stability. State-feedback controls are designed based on the discrete-time state observations. Controls are put both in the drift and diffusion parts of the system. Criteria are derived in terms of linear matrix inequalities( LMI) to get the controllers. Also one example is given to illustrate our techniques.
文摘Critical systems are typically complex systems that are required to perform reliably over a wide range of scenarios, or multistate world. Seldom does a single system exist that performs best for all plausible scenarios. A robust solution, one that performs relatively well over a wide range of scenarios, is often the preferred choice for reduced risk at an acceptable cost. The alternative with the maximum expected utility may possess vulnerabilities that could be exploited. The best strategy is likely to be a hybrid solution. The von Neumann-Morgenstern Expected Utility Theory (EUT) would never select such a solution because, given its linear functional form, the expected utility of a hybrid solution cannot be greater than that of every constituent alternative. The continuity axiom and the independence axiom are assessed to be unrealistic for the problem of interest. Several well-known decision models are analyzed and demonstrated to be potentially misleading. The linear disappointment model modifies EUT by adding a term proportional to downside risk;however, it does not provide a mathematical basis for determining preferred hybrid solutions. The paper proposes a portfolio allocation model with stochastic optimization as a flexible and transparent method for defining choice problems and determining hybrid solutions for critical systems with desirable properties such as diversification and robustness.
文摘考虑到海上风电出力的随机性以及日益突出的生态环境问题,以含柔性直流输电技术(voltagesource converter high voltage direct current,VSC-HVDC)的交直流系统为研究对象,提出了考虑条件风险价值(conditional valueatrisk,CVaR)的两阶段分布鲁棒低碳经济优化模型,构建了基于Kullback-Leibler(KL)散度的概率分布模糊集,同时利用条件风险价值量化了极端场景下的尾部风险,使得模型能够同时考虑概率分布不确定性以及处于最坏概率分布中极端场景下的尾部损失;此外,将阶梯型碳交易机制并入所提分布鲁棒模型中,通过合理利用柔性资源和储能装置,增强系统运行的灵活性,在兼顾运行风险的前提下,降低碳排放量的目标。再者,为了提高计算效率,在列和约束生成算法(column-and-constraint generation method,C&CG)和Multi-cut Benders分解算法的基础上提出了双循环分解算法。最后,在基于改进的IEEE RTS 79测试系统中验证了所提模型及算法的有效性。
文摘为解决源荷双侧不确定性对冷热电联供CCHP(combined cooling,heating and power)型微网经济运行带来的电量实时平衡问题,提出一种基于鲁棒理论的CCHP微网电、热、冷混合储能容量配置模型。基于鲁棒理论,建立源荷双侧不确定性变量合集。考虑储能设备日折算成本,以微网运行成本最低为目标,采用自适应差分进化算法对模型进行求解,得到不同预测精度与置信概率下的微网储能最优容量合集。通过设置评价指标,选取最合适的储能配置方案,对微网配置储能前后的调度情况作对比。结果表明,基于鲁棒理论配置的电、热、冷这3类储能可有效提升微网在源荷双侧不确定下的电力电量实时平衡能力与运行经济性。
文摘针对经典最近等值线迭代(ICCP)算法因重力异常测量误差导致匹配精度下降甚至失效的问题,提出联合抗差匹配算法以提高匹配精度及可靠性。首先,分析了匹配点集间的匹配残差在高斯噪声影响下呈非高斯分布,为抑制其影响,采用l_(p)范数代替l_(2)范数计算匹配残差,并利用匹配残差重调野值点以获得有效的匹配区域。在此基础上,提出混合稀疏ICCP算法,并利用其进行粗匹配,然后将粗匹配后的位置作为惯导系统(INS)指示位置,再使用经典ICCP算法进行精匹配,获得更高的定位精度。仿真结果表明,考虑重力异常测量误差的情况下,重力联合抗差匹配算法的误差最大值小于1 n mile,导航精度较传统ICCP算法提升60%以上,提升了算法的鲁棒性和匹配精度。
文摘针对现有配电网鲁棒调度方法缺乏对不确定参数相关性问题的考虑,提出了一种基于数据驱动多面体集合的交直流混合配电网鲁棒调度方法。首先,构建分布式光伏出力的传统多面体集合,利用历史数据驱动形成了相关性包络图,通过弯曲多面体集合边界,建立了相关性多面体集合模型。然后,在此基础上,针对相关性多面体集合存在鲁棒性差和保守性大的问题,建立了数据驱动的多面体集合模型。进一步,建立了基于数据驱动多面体集合的交直流混合配电网鲁棒调度模型,并采用列与约束生成(column and constraint generation,CCG)算法对鲁棒调度模型进行求解。最后,改进的IEEE33节点系统仿真结果表明,基于数据驱动多面体集合的交直流混合配电网鲁棒调度方法可以减少优化结果的保守性,提高其鲁棒性,证明了所提出方法的有效性。