Designing a robust controller for a system with timevarying delays poses a major challenge. In this paper, we propose a method based on mixed sensitivity H∞ for the control of linear time invariant(LTI) systems wit...Designing a robust controller for a system with timevarying delays poses a major challenge. In this paper, we propose a method based on mixed sensitivity H∞ for the control of linear time invariant(LTI) systems with varying time delays. The time delay is assumed bounded and the upper bound is known. In the technique we propose, the delay affecting the plant to be controlled is treated as an unmodeled uncertainty(in form of multiplicative uncertainty). That uncertainty is approximated and then an H∞based controller, for the plant represented by the multiplicative uncertainty and the nominal model, is calculated. The obtained H∞controller is used to control the LTI systems with varying time delays. Simulation examples are given to illustrate the effectiveness of the proposed method.展开更多
针对多微网与上级能源网络协同优化运行的问题,提出一种基于混合博弈的社区综合能源服务商(community integrated energy service provider,CIESP)与微网群的二阶段协同运行策略。首先,构建了CIESP与微网群能源交易的基本框架;其次,针...针对多微网与上级能源网络协同优化运行的问题,提出一种基于混合博弈的社区综合能源服务商(community integrated energy service provider,CIESP)与微网群的二阶段协同运行策略。首先,构建了CIESP与微网群能源交易的基本框架;其次,针对源荷不确定性,采用蒙特卡洛法生成大量随机场景,并通过K-means聚类进行场景削减;接着,将主从博弈和合作博弈相结合,建立CIESP与微网群的混合博弈模型,其中,CIESP为领导者,以自身收益最大为目标,通过制定与微网群的能源交易价格引导微网群优化运行,微网群为跟随者,以群运行成本最小为目标,通过合作来对CIESP的定价决策进行响应;然后,基于纳什谈判理论,将模型下层各微网之间的合作博弈转化为联盟成本最小化和合作收益分配两个子问题。最后,采用差分进化算法结合交替方向乘子法对模型进行求解,算例仿真验证了所提方法能够兼顾各方利益的同时促进新能源消纳并降低碳排放。展开更多
文摘Designing a robust controller for a system with timevarying delays poses a major challenge. In this paper, we propose a method based on mixed sensitivity H∞ for the control of linear time invariant(LTI) systems with varying time delays. The time delay is assumed bounded and the upper bound is known. In the technique we propose, the delay affecting the plant to be controlled is treated as an unmodeled uncertainty(in form of multiplicative uncertainty). That uncertainty is approximated and then an H∞based controller, for the plant represented by the multiplicative uncertainty and the nominal model, is calculated. The obtained H∞controller is used to control the LTI systems with varying time delays. Simulation examples are given to illustrate the effectiveness of the proposed method.
文摘针对多微网与上级能源网络协同优化运行的问题,提出一种基于混合博弈的社区综合能源服务商(community integrated energy service provider,CIESP)与微网群的二阶段协同运行策略。首先,构建了CIESP与微网群能源交易的基本框架;其次,针对源荷不确定性,采用蒙特卡洛法生成大量随机场景,并通过K-means聚类进行场景削减;接着,将主从博弈和合作博弈相结合,建立CIESP与微网群的混合博弈模型,其中,CIESP为领导者,以自身收益最大为目标,通过制定与微网群的能源交易价格引导微网群优化运行,微网群为跟随者,以群运行成本最小为目标,通过合作来对CIESP的定价决策进行响应;然后,基于纳什谈判理论,将模型下层各微网之间的合作博弈转化为联盟成本最小化和合作收益分配两个子问题。最后,采用差分进化算法结合交替方向乘子法对模型进行求解,算例仿真验证了所提方法能够兼顾各方利益的同时促进新能源消纳并降低碳排放。