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
在高动态与强干扰条件下,卫星导航接收机码跟踪环路与载波跟踪环路会出现异常抖动进而影响卫星导航接收机的授时精度,针对这一问题提出了一种新的基于抗野值Kalman滤波技术的卫星导航接收机授时方法。该方法可以有效消除码环与载波环的...在高动态与强干扰条件下,卫星导航接收机码跟踪环路与载波跟踪环路会出现异常抖动进而影响卫星导航接收机的授时精度,针对这一问题提出了一种新的基于抗野值Kalman滤波技术的卫星导航接收机授时方法。该方法可以有效消除码环与载波环的异常抖动对解算出的卫星钟差的影响,并且对连续出现的野值也有很好的剔除效果。同时该授时方法还可以有效地对卫星导航接收机的晶振频率误差进行估计,进而对1PPS(pulse per second)信号发生器的频率控制字进行调整,提高系统的授时精度。经过实验验证,该授时方法可以有效提高卫星导航接收机的授时精度以及授时系统的鲁棒性。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.
文摘在高动态与强干扰条件下,卫星导航接收机码跟踪环路与载波跟踪环路会出现异常抖动进而影响卫星导航接收机的授时精度,针对这一问题提出了一种新的基于抗野值Kalman滤波技术的卫星导航接收机授时方法。该方法可以有效消除码环与载波环的异常抖动对解算出的卫星钟差的影响,并且对连续出现的野值也有很好的剔除效果。同时该授时方法还可以有效地对卫星导航接收机的晶振频率误差进行估计,进而对1PPS(pulse per second)信号发生器的频率控制字进行调整,提高系统的授时精度。经过实验验证,该授时方法可以有效提高卫星导航接收机的授时精度以及授时系统的鲁棒性。
