To investigate the real-time mean orbital elements(MOEs)estimation problem under the influence of state jumping caused by non-fatal spacecraft collision or protective orbit trans-fer,a modified augmented square-root u...To investigate the real-time mean orbital elements(MOEs)estimation problem under the influence of state jumping caused by non-fatal spacecraft collision or protective orbit trans-fer,a modified augmented square-root unscented Kalman filter(MASUKF)is proposed.The MASUKF is composed of sigma points calculation,time update,modified state jumping detec-tion,and measurement update.Compared with the filters used in the existing literature on MOEs estimation,it has three main characteristics.Firstly,the state vector is augmented from six to nine by the added thrust acceleration terms,which makes the fil-ter additionally give the state-jumping-thrust-acceleration esti-mation.Secondly,the normalized innovation is used for state jumping detection to set detection threshold concisely and make the filter detect various state jumping with low latency.Thirdly,when sate jumping is detected,the covariance matrix inflation will be done,and then an extra time update process will be con-ducted at this time instance before measurement update.In this way,the relatively large estimation error at the detection moment can significantly decrease.Finally,typical simulations are per-formed to illustrated the effectiveness of the method.展开更多
This paper addresses the almost surely exponential(ASE)stabilisation problem of continuoustime singular semi-Markov jump systems(s-MJSs),where the state at jump instants is discontinuous.Because of such a discontinuit...This paper addresses the almost surely exponential(ASE)stabilisation problem of continuoustime singular semi-Markov jump systems(s-MJSs),where the state at jump instants is discontinuous.Because of such a discontinuity existing,the consistency of initial condition at jump instants is impossible to be ensured but is an essential issue of singular systems.A proportional-derivative(PD)state feedback controller is proposed to deal with it such that the closed-loop singular s-MJSs is normal and ASE-stable.New sufficient conditions for the existence of such a controller are derived as linear matrix inequalities,which includes some existing considered systems as special situations.Two numerical examples are used to show the effectiveness and superiority of the methods.展开更多
基金This work was supported by National Natural Science Foundation of China(12372045)Shanghai Aerospace Science and Technology Program(SAST2021-030).
文摘To investigate the real-time mean orbital elements(MOEs)estimation problem under the influence of state jumping caused by non-fatal spacecraft collision or protective orbit trans-fer,a modified augmented square-root unscented Kalman filter(MASUKF)is proposed.The MASUKF is composed of sigma points calculation,time update,modified state jumping detec-tion,and measurement update.Compared with the filters used in the existing literature on MOEs estimation,it has three main characteristics.Firstly,the state vector is augmented from six to nine by the added thrust acceleration terms,which makes the fil-ter additionally give the state-jumping-thrust-acceleration esti-mation.Secondly,the normalized innovation is used for state jumping detection to set detection threshold concisely and make the filter detect various state jumping with low latency.Thirdly,when sate jumping is detected,the covariance matrix inflation will be done,and then an extra time update process will be con-ducted at this time instance before measurement update.In this way,the relatively large estimation error at the detection moment can significantly decrease.Finally,typical simulations are per-formed to illustrated the effectiveness of the method.
基金the National Natural Science Foundation of China[grant numbers 61473140 and 62073158]the Liaoning Revitalization Talents Program[grant number XLYC1807030]the Program for Liaoning Innovative Talents in University[grant number LR2017029].
文摘This paper addresses the almost surely exponential(ASE)stabilisation problem of continuoustime singular semi-Markov jump systems(s-MJSs),where the state at jump instants is discontinuous.Because of such a discontinuity existing,the consistency of initial condition at jump instants is impossible to be ensured but is an essential issue of singular systems.A proportional-derivative(PD)state feedback controller is proposed to deal with it such that the closed-loop singular s-MJSs is normal and ASE-stable.New sufficient conditions for the existence of such a controller are derived as linear matrix inequalities,which includes some existing considered systems as special situations.Two numerical examples are used to show the effectiveness and superiority of the methods.
