This paper aims at solving the state filtering problem for linear systems with state constraints. Three classes of typical state constraints, i.e., linear equality, quadratic equality and inequality, are discussed. By...This paper aims at solving the state filtering problem for linear systems with state constraints. Three classes of typical state constraints, i.e., linear equality, quadratic equality and inequality, are discussed. By using the linear relationships among different state variables, a reduced-order Kalman filter is derived for the system with linear equality constraints. Afterwards, such a solution is applied to the cases of the quadratic equality constraint and inequality constraints and the two constrained state filtering problems are transformed into two relative constrained optimization problems. Then they are solved by the Lagrangian multiplier and linear matrix inequality techniques, respectively. Finally, two simple tracking examples are provided to illustrate the effectiveness of the reduced-order filters.展开更多
着重探讨混合型有源电力滤波器最优安装点的问题。建立配电网及混合型滤波器(hybrid active power filter,HAPF)的简化模型,定义以配电网各节点母线电压总畸变量为参考量的配电网谐波治理目标函数(network objective function,NOF)。通...着重探讨混合型有源电力滤波器最优安装点的问题。建立配电网及混合型滤波器(hybrid active power filter,HAPF)的简化模型,定义以配电网各节点母线电压总畸变量为参考量的配电网谐波治理目标函数(network objective function,NOF)。通过对配电网节点导纳矩阵的分析得到配电网的电压及电流转移矩阵,并以此研究配电网的频率响应特性,为混合型有源电力滤波器无源支路的谐振频率及参数选择提供设计参考;同时以获得最优目标函数为目的阐述HAPF最优安装点的选择方法,并着重探讨电网参数变化的影响。所述方法可推广应用于各种配电网的谐波治理与无功补偿当中,工程应用结果验证了该文理论分析的正确性。展开更多
基金supported by the National Key Basic Research Development Project (973 Program) (2012CB821205)the Natural Scientific Research Innovation Foundation in Harbin Institute of Technology(HIT.NSRIF.2009004)
文摘This paper aims at solving the state filtering problem for linear systems with state constraints. Three classes of typical state constraints, i.e., linear equality, quadratic equality and inequality, are discussed. By using the linear relationships among different state variables, a reduced-order Kalman filter is derived for the system with linear equality constraints. Afterwards, such a solution is applied to the cases of the quadratic equality constraint and inequality constraints and the two constrained state filtering problems are transformed into two relative constrained optimization problems. Then they are solved by the Lagrangian multiplier and linear matrix inequality techniques, respectively. Finally, two simple tracking examples are provided to illustrate the effectiveness of the reduced-order filters.
文摘着重探讨混合型有源电力滤波器最优安装点的问题。建立配电网及混合型滤波器(hybrid active power filter,HAPF)的简化模型,定义以配电网各节点母线电压总畸变量为参考量的配电网谐波治理目标函数(network objective function,NOF)。通过对配电网节点导纳矩阵的分析得到配电网的电压及电流转移矩阵,并以此研究配电网的频率响应特性,为混合型有源电力滤波器无源支路的谐振频率及参数选择提供设计参考;同时以获得最优目标函数为目的阐述HAPF最优安装点的选择方法,并着重探讨电网参数变化的影响。所述方法可推广应用于各种配电网的谐波治理与无功补偿当中,工程应用结果验证了该文理论分析的正确性。
