Moving horizon estimation for discrete-time linear systems with binary sensors: Algorithms and stability results

被引:31
作者
Battistelli, Giorgio [1 ]
Chisci, Luigi [2 ,3 ]
Gherardini, Stefano [1 ,2 ,3 ,4 ]
机构
[1] Univ Firenze, Dipartimento Ingn Informaz DINFO, Via Santa Marta 3, I-50139 Florence, Italy
[2] Univ Firenze, CSDC, Ist Nazl Fis Nucl, Via G Sansone 1, I-50019 Sesto Fiorentino, Italy
[3] LENS, Via G Sansone 1, I-50019 Sesto Fiorentino, Italy
[4] QSTAR, Largo E Fermi 2, I-50125 Florence, Italy
关键词
State estimation; Moving-horizon estimation; Binary measurements; Stability analysis; STATE ESTIMATION; IDENTIFICATION; PROGRAMS; NETWORKS;
D O I
10.1016/j.automatica.2017.07.035
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The paper addresses state estimation for linear discrete-time systems with binary (threshold) measurements. A Moving Horizon Estimation (MHE) approach is followed and different estimators, characterized by two different choices of the cost function to be minimized and/or by the possible inclusion of constraints, are proposed. Specifically, the cost function is either quadratic, when only the information pertaining to the threshold-crossing instants is exploited, or piece-wise quadratic, when all the available binary measurements are taken into account. Stability results are provided for the proposed MHE algorithms in the presence of unknown but bounded disturbances and measurement noise. Performance of the proposed techniques is also assessed by means of simulation examples. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码:374 / 385
页数:12
相关论文
共 32 条
[1]   Receding-horizon estimation for switching discrete-time linear systems [J].
Alessandri, A ;
Baglietto, M ;
Battistelli, G .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (11) :1736-1748
[2]   Moving-horizon state estimation for nonlinear discrete-time systems: New stability results and approximation schemes [J].
Alessandri, Angelo ;
Baglietto, Marco ;
Battistelli, Giorgio .
AUTOMATICA, 2008, 44 (07) :1753-1765
[3]   Advances in Moving Horizon Estimation for Nonlinear Systems [J].
Alessandri, Angelo ;
Baglietto, Marco ;
Battistelli, Giorgio ;
Zavala, Victor .
49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2010, :5681-5688
[4]  
Aslam J., 2003, SENSYS 03, P150, DOI 10.1145/958491.958509
[5]   Moving horizon state estimation for discrete-time linear systems with binary sensors [J].
Battistelli, Giorgio ;
Chisci, Luigi ;
Gherardini, Stefano .
2015 54TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2015, :2414-2419
[6]   Data-driven communication for state estimation with sensor networks [J].
Battistelli, Giorgio ;
Benavoli, Alessio ;
Chisci, Luigi .
AUTOMATICA, 2012, 48 (05) :926-935
[7]   Stabilization of LPV systems: State feedback, state estimation, and duality [J].
Blanchini, F ;
Miani, S .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2003, 42 (01) :76-97
[8]   Target tracking by particle filtering in binary sensor networks [J].
Djuric, Petar M. ;
Vemula, Mahesh ;
Bugallo, Monica F. .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2008, 56 (06) :2229-2238
[9]   Distributed moving horizon estimation for nonlinear constrained systems [J].
Farina, Marcello ;
Ferrari-Trecate, Giancarlo ;
Scattolini, Riccardo .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2012, 22 (02) :123-143
[10]   Distributed Moving Horizon Estimation for Linear Constrained Systems [J].
Farina, Marcello ;
Ferrari-Trecate, Giancarlo ;
Scattolini, Riccardo .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (11) :2462-2475