For the appearance of the additive perturbation of controller gain when the controller parameter has minute adjustment at the initial running stage of system,to avoid the adverse effects,this paper investigates the mi...For the appearance of the additive perturbation of controller gain when the controller parameter has minute adjustment at the initial running stage of system,to avoid the adverse effects,this paper investigates the mixed H_2/H_∞ state feedback attitude control problem of microsatellite based on extended LMI method.Firstly,the microsatellite attitude control system is established and transformed into corresponding state space form.Then,without the equivalence restriction of the two Lyapunov variables of H_2 and H∞performance,this paper introduces additional variables to design the mixed H_2/H_∞ control method based on LMI which can also reduce the conservatives.Finally,numerical simulations are analyzed to show that the proposed method can make the satellite stable within 20 s whether there is additive perturbation of the controller gain or not.The comparative analysis of the simulation results between extended LMI method and traditional LMI method also demonstrates the effectiveness and feasibility of the proposed method in this paper.展开更多
为了实现“双碳”战略目标,推动我国能源转型,实现海上风电等大规模新能源的安全可靠送出成为研究关键。柔性低频输电系统通过降低输电频率来提高输送能力并节省经济成本,逐渐成为“新型电力系统”中除传统工频输电和直流输电方式之外...为了实现“双碳”战略目标,推动我国能源转型,实现海上风电等大规模新能源的安全可靠送出成为研究关键。柔性低频输电系统通过降低输电频率来提高输送能力并节省经济成本,逐渐成为“新型电力系统”中除传统工频输电和直流输电方式之外的有益补充。但是,柔性低频输电系统的稳定性问题,尤其是大信号稳定性问题仍是工程实践中的难题。为此,采用Lyapunov直接法对基于模块化多电平矩阵换流器(modular multilevel matrix converter,M3C)的柔性低频输电系统进行了大信号稳定性分析。首先针对系统非线性状态方程阶数较高,导致难以通过经验或者线性系统Jacobian矩阵方法直接构造能量函数的难题,通过扇区非线性方法建立了模糊模型,简洁快速地构建了系统能量函数并计算了大信号稳定吸引域(large signal domain of attraction,LS-DOA)。其次引入多维空间吸引域的映射方法,从频率差异的角度更加直观地揭示了主电路和控制系统等参数对系统大信号稳定性的影响。然后结合线性矩阵不等式(linear matrix inequality,LMI)凸优化理论,分析了系统大信号不稳定的相关机理并给出了高效的镇定策略。最后通过MATLAB/Simulink建立了系统模型,实现了对理论分析的仿真验证,研究结果对柔性低频输电系统的工程实践有一定的参考作用。展开更多
针对锁相环同步的弱连接电压源变流器(weakgrid connected voltage source converter,WG-VSC)系统的暂态稳定问题,该文首先应用线性矩阵不等式优化法构建WG-VSC系统的最大估计吸引域(largest estimated domain of attraction,LEDA),并将...针对锁相环同步的弱连接电压源变流器(weakgrid connected voltage source converter,WG-VSC)系统的暂态稳定问题,该文首先应用线性矩阵不等式优化法构建WG-VSC系统的最大估计吸引域(largest estimated domain of attraction,LEDA),并将LEDA与基于LaSalle不变集定理的能量函数法和平方和规划法构建的LEDA进行详细对比,验证了所提方法在刻画LEDA方面具有更低的保守性。然后从保证故障穿越控制过程中的锁相环暂态同步稳定作为切入点,首次提出WG-VSC系统在电网对称故障大扰动下的有功/无功电流设定值可行域概念,并基于线性矩阵不等式方法刻画的LEDA,提出该可行域的求解算法,分析了典型参数对该电流设定值可行域的影响。该可行域为故障过程中的有功和无功电流设定值提供了切实可行的指导依据。最后在PSCAD/EMTDC中搭建了基于详细开关模型的WG-VSC系统仿真算例,通过多种暂态仿真工况验证了该文所构建的LEDA和电流设定值可行域的有效性和可行性。展开更多
This article concerns the delay-independent guaranteed-cost control problem via memoryless state feedback for a class of neutral-type systems with structural uncertainty and a given quadratic cost function. New delay-...This article concerns the delay-independent guaranteed-cost control problem via memoryless state feedback for a class of neutral-type systems with structural uncertainty and a given quadratic cost function. New delay-independent conditions for the existence of the guaranteed-cost controller are presented in the term of LMIs. An algorithm involving optimization is proposed to design a controller achieving an optimal guaranteed-cost, such that, the system can be stabilized for all admissible uncertainties. A numerical example is provided to illustrate the feasibility of the proposed method.展开更多
文摘For the appearance of the additive perturbation of controller gain when the controller parameter has minute adjustment at the initial running stage of system,to avoid the adverse effects,this paper investigates the mixed H_2/H_∞ state feedback attitude control problem of microsatellite based on extended LMI method.Firstly,the microsatellite attitude control system is established and transformed into corresponding state space form.Then,without the equivalence restriction of the two Lyapunov variables of H_2 and H∞performance,this paper introduces additional variables to design the mixed H_2/H_∞ control method based on LMI which can also reduce the conservatives.Finally,numerical simulations are analyzed to show that the proposed method can make the satellite stable within 20 s whether there is additive perturbation of the controller gain or not.The comparative analysis of the simulation results between extended LMI method and traditional LMI method also demonstrates the effectiveness and feasibility of the proposed method in this paper.
文摘为了实现“双碳”战略目标,推动我国能源转型,实现海上风电等大规模新能源的安全可靠送出成为研究关键。柔性低频输电系统通过降低输电频率来提高输送能力并节省经济成本,逐渐成为“新型电力系统”中除传统工频输电和直流输电方式之外的有益补充。但是,柔性低频输电系统的稳定性问题,尤其是大信号稳定性问题仍是工程实践中的难题。为此,采用Lyapunov直接法对基于模块化多电平矩阵换流器(modular multilevel matrix converter,M3C)的柔性低频输电系统进行了大信号稳定性分析。首先针对系统非线性状态方程阶数较高,导致难以通过经验或者线性系统Jacobian矩阵方法直接构造能量函数的难题,通过扇区非线性方法建立了模糊模型,简洁快速地构建了系统能量函数并计算了大信号稳定吸引域(large signal domain of attraction,LS-DOA)。其次引入多维空间吸引域的映射方法,从频率差异的角度更加直观地揭示了主电路和控制系统等参数对系统大信号稳定性的影响。然后结合线性矩阵不等式(linear matrix inequality,LMI)凸优化理论,分析了系统大信号不稳定的相关机理并给出了高效的镇定策略。最后通过MATLAB/Simulink建立了系统模型,实现了对理论分析的仿真验证,研究结果对柔性低频输电系统的工程实践有一定的参考作用。
文摘针对锁相环同步的弱连接电压源变流器(weakgrid connected voltage source converter,WG-VSC)系统的暂态稳定问题,该文首先应用线性矩阵不等式优化法构建WG-VSC系统的最大估计吸引域(largest estimated domain of attraction,LEDA),并将LEDA与基于LaSalle不变集定理的能量函数法和平方和规划法构建的LEDA进行详细对比,验证了所提方法在刻画LEDA方面具有更低的保守性。然后从保证故障穿越控制过程中的锁相环暂态同步稳定作为切入点,首次提出WG-VSC系统在电网对称故障大扰动下的有功/无功电流设定值可行域概念,并基于线性矩阵不等式方法刻画的LEDA,提出该可行域的求解算法,分析了典型参数对该电流设定值可行域的影响。该可行域为故障过程中的有功和无功电流设定值提供了切实可行的指导依据。最后在PSCAD/EMTDC中搭建了基于详细开关模型的WG-VSC系统仿真算例,通过多种暂态仿真工况验证了该文所构建的LEDA和电流设定值可行域的有效性和可行性。
基金This project was supported by the Natural Science Basic Research Plan in Shaanxi Province of China (2006A13)the Foundation of Research Project of Educational Department of Shaanxi Province (06JK149).
文摘This article concerns the delay-independent guaranteed-cost control problem via memoryless state feedback for a class of neutral-type systems with structural uncertainty and a given quadratic cost function. New delay-independent conditions for the existence of the guaranteed-cost controller are presented in the term of LMIs. An algorithm involving optimization is proposed to design a controller achieving an optimal guaranteed-cost, such that, the system can be stabilized for all admissible uncertainties. A numerical example is provided to illustrate the feasibility of the proposed method.
