This paper studies the regional stability for positive switched linear systems with multi-equilibrium points （PSLS-MEP）. First, a sufficient condition is presented for the regional stability of PSLS-MEP via a common...This paper studies the regional stability for positive switched linear systems with multi-equilibrium points （PSLS-MEP）. First, a sufficient condition is presented for the regional stability of PSLS-MEP via a common linear Lyapunov function. Second, by establishing multiple Lyapunov functions, a dwell time based condition is proposed for the regional stability analysis. Third, a suprasphere which contains all equilibrium points is constructed as a stability region of the considered PSLS-MEP, which is less conservative than existing results. Finally, the study of an illustrative example shows that the obtained results are effective in the regional stability analysis of PSLS-MEP.展开更多
This paper concerns the disturbance attenuation control problem for switched systems where the subsystems have different equilibria.By introducing a Lyapunov function that measures the proximity to the stability regio...This paper concerns the disturbance attenuation control problem for switched systems where the subsystems have different equilibria.By introducing a Lyapunov function that measures the proximity to the stability region,numerically testable stability and stabilization criteria of the systems are obtained.For multi-equilibrium switched systems with energy-bounded disturbances,the L_(2)-gain is analyzed and the multi-equilibrium bound real lemma(ME-BRL)is derived.Further,an H_(∞)multiequilibrium switched(H_(∞)-MES)controller is designed,which ensures not only the nominal stability but also the H_(∞)performance index of the closed-loop systems.Finally,the control method is applied to aero-engine control systems.The simulation results demonstrate that the proposed approach effectively attenuates the adverse impacts of external disturbances on the control systems.展开更多
在进行实时对抗的任务中,对于敌方的动作识别较为困难,需要根据对方的移动轨迹或行为来分析对方的意图,预测其未来目标,构建规划策略库.针对此问题,提出基于数据驱动的多智能体识别算法,该算法首先采用基于自动机的特征提取方法,获得规...在进行实时对抗的任务中,对于敌方的动作识别较为困难,需要根据对方的移动轨迹或行为来分析对方的意图,预测其未来目标,构建规划策略库.针对此问题,提出基于数据驱动的多智能体识别算法,该算法首先采用基于自动机的特征提取方法,获得规划需要的位置和任务信息;然后将规划识别问题转换为多分类问题,并从单智能体角度切入,给出了一种基于极端梯度提升(extreme gradient boosting,XGBoost)的多分类模型;之后,对于多智能体之间可能存在的合作行为,使用无监督学习的一种基于密度对噪声鲁棒的空间聚类算法(density-based spatial clustering of applications with noise,DBSCAN)对多智能体进行分簇,以促进协同合作.对于同簇智能体,构建了一种针对多智能体的多分类模型,完成对多智能体的目标预测.在获悉敌方目标后,提出基于博弈的围捕逼停算法,构建非合作动态博弈模型,通过求解纳什均衡得到应对敌方的最优策略.最后,通过仿真验证了所提出算法的有效性.展开更多
在能源低碳转型的背景下,综合能源系统因其多能互补和有助于消纳新能源而得到了广泛的关注。为了体现综合能源系统的市场价值,其参与电-气等多能源市场以及碳-绿证市场的竞争将是一种趋势。作为综合能源系统参与市场投标的竞争主体,综...在能源低碳转型的背景下,综合能源系统因其多能互补和有助于消纳新能源而得到了广泛的关注。为了体现综合能源系统的市场价值,其参与电-气等多能源市场以及碳-绿证市场的竞争将是一种趋势。作为综合能源系统参与市场投标的竞争主体,综合能源供应商的策略性行为将对这些市场产生重要的影响。为此,建立了含新能源的综合能源供应商(integrated energy suppliers,IES)参与投标竞争的电-气-碳-绿证多市场的联合均衡模型。该模型考虑综合能源供应商和单一能源供应商在4个相互耦合的市场中的博弈行为,同时考虑了新能源的不确定性,并引入偏差惩罚机制对新能源的投标偏差进行处理。采用非线性互补方法求得该均衡模型的解。最后,通过算例仿真验证了所提理论模型的合理性和有效性。结果表明,与不引入碳市场和绿证市场情况相比,综合能源供应商参与电-气-碳-绿证市场时利润增加了6.5%,碳排放减少了7.2%。展开更多
电网扩展时往往在多方案下进行,不同方案给电网带来的收益与安全裕度并不一致。因此,提出一种平衡电网安全与投资收益的多方竞争规划方法。建立含多个投资人的电网扩展规划数学模型,采用纳什均衡的概念对电网规划博弈建模为具有平衡约...电网扩展时往往在多方案下进行,不同方案给电网带来的收益与安全裕度并不一致。因此,提出一种平衡电网安全与投资收益的多方竞争规划方法。建立含多个投资人的电网扩展规划数学模型,采用纳什均衡的概念对电网规划博弈建模为具有平衡约束的平衡问题(equilibrium problem with equilibrium constraints,EPEC)。通过一系列线性化,将EPEC建模为混合整数线性规划问题。将能源短缺概率作为安全裕度评估标准,用于建模电网规划博弈中不确定运行参数的风险。通过安全裕度建模,可以得到在不同风险水平下的电网规划博弈的纳什均衡。电网投资博弈的结果可能不同于社会效益最大化基准模式。设计了支持预算机制来激励投资方,使得电网规划博弈的结果尽可能接近社会效益最大化结果。在两种规模的系统上对所提出的方法进行了评估,测试结果表明,所提出的方法可以使非合作博弈的均衡点向社会成本较小的点靠拢,验证了其有效性。展开更多
基金supported by National Natural Science Foundation of China(No.61374065)the Research Fund for the Taishan Scholar Project of Shandong Province
文摘This paper studies the regional stability for positive switched linear systems with multi-equilibrium points （PSLS-MEP）. First, a sufficient condition is presented for the regional stability of PSLS-MEP via a common linear Lyapunov function. Second, by establishing multiple Lyapunov functions, a dwell time based condition is proposed for the regional stability analysis. Third, a suprasphere which contains all equilibrium points is constructed as a stability region of the considered PSLS-MEP, which is less conservative than existing results. Finally, the study of an illustrative example shows that the obtained results are effective in the regional stability analysis of PSLS-MEP.
基金partially supported by the National Natural Science Foundation of China(Grant Nos.62225305,12072088)the Fundamental Research Funds for the Central Universities,China(Grant Nos.HIT.OCEF.2022047,HIT.BRET.2022004,HITDZIJ.2023049)+2 种基金the Grant JCKY2022603C016the State Key Laboratory of Robotics and System(HIT)the Heilongjiang Touyan Team。
文摘This paper concerns the disturbance attenuation control problem for switched systems where the subsystems have different equilibria.By introducing a Lyapunov function that measures the proximity to the stability region,numerically testable stability and stabilization criteria of the systems are obtained.For multi-equilibrium switched systems with energy-bounded disturbances,the L_(2)-gain is analyzed and the multi-equilibrium bound real lemma(ME-BRL)is derived.Further,an H_(∞)multiequilibrium switched(H_(∞)-MES)controller is designed,which ensures not only the nominal stability but also the H_(∞)performance index of the closed-loop systems.Finally,the control method is applied to aero-engine control systems.The simulation results demonstrate that the proposed approach effectively attenuates the adverse impacts of external disturbances on the control systems.
文摘在进行实时对抗的任务中,对于敌方的动作识别较为困难,需要根据对方的移动轨迹或行为来分析对方的意图,预测其未来目标,构建规划策略库.针对此问题,提出基于数据驱动的多智能体识别算法,该算法首先采用基于自动机的特征提取方法,获得规划需要的位置和任务信息;然后将规划识别问题转换为多分类问题,并从单智能体角度切入,给出了一种基于极端梯度提升(extreme gradient boosting,XGBoost)的多分类模型;之后,对于多智能体之间可能存在的合作行为,使用无监督学习的一种基于密度对噪声鲁棒的空间聚类算法(density-based spatial clustering of applications with noise,DBSCAN)对多智能体进行分簇,以促进协同合作.对于同簇智能体,构建了一种针对多智能体的多分类模型,完成对多智能体的目标预测.在获悉敌方目标后,提出基于博弈的围捕逼停算法,构建非合作动态博弈模型,通过求解纳什均衡得到应对敌方的最优策略.最后,通过仿真验证了所提出算法的有效性.
文摘在能源低碳转型的背景下,综合能源系统因其多能互补和有助于消纳新能源而得到了广泛的关注。为了体现综合能源系统的市场价值,其参与电-气等多能源市场以及碳-绿证市场的竞争将是一种趋势。作为综合能源系统参与市场投标的竞争主体,综合能源供应商的策略性行为将对这些市场产生重要的影响。为此,建立了含新能源的综合能源供应商(integrated energy suppliers,IES)参与投标竞争的电-气-碳-绿证多市场的联合均衡模型。该模型考虑综合能源供应商和单一能源供应商在4个相互耦合的市场中的博弈行为,同时考虑了新能源的不确定性,并引入偏差惩罚机制对新能源的投标偏差进行处理。采用非线性互补方法求得该均衡模型的解。最后,通过算例仿真验证了所提理论模型的合理性和有效性。结果表明,与不引入碳市场和绿证市场情况相比,综合能源供应商参与电-气-碳-绿证市场时利润增加了6.5%,碳排放减少了7.2%。
文摘电网扩展时往往在多方案下进行,不同方案给电网带来的收益与安全裕度并不一致。因此,提出一种平衡电网安全与投资收益的多方竞争规划方法。建立含多个投资人的电网扩展规划数学模型,采用纳什均衡的概念对电网规划博弈建模为具有平衡约束的平衡问题(equilibrium problem with equilibrium constraints,EPEC)。通过一系列线性化,将EPEC建模为混合整数线性规划问题。将能源短缺概率作为安全裕度评估标准,用于建模电网规划博弈中不确定运行参数的风险。通过安全裕度建模,可以得到在不同风险水平下的电网规划博弈的纳什均衡。电网投资博弈的结果可能不同于社会效益最大化基准模式。设计了支持预算机制来激励投资方,使得电网规划博弈的结果尽可能接近社会效益最大化结果。在两种规模的系统上对所提出的方法进行了评估,测试结果表明,所提出的方法可以使非合作博弈的均衡点向社会成本较小的点靠拢,验证了其有效性。
