Covariance control for discrete-time stochastic switched linear systems

被引:1
作者
Fiacchini, Mirko [1 ]
Alamo, Teodoro [2 ]
机构
[1] Univ Grenoble Alpes, GIPSA Lab, Grenoble INP, CNRS, F-38000 Grenoble, France
[2] Univ Seville, Dept Ingn Sistemas & Automat, Seville 41092, Spain
关键词
Covariance control; stabilizability; switched systems; STABILITY ANALYSIS; STABILIZABILITY; STABILIZATION; MATRIX;
D O I
10.1016/j.ifacol.2022.09.337
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper deals with the covariance control for discrete-time linear switched systems affected by additive stochastic noises. Given any periodic stabilizing switching law for the deterministic system associated to the stochastic one, a finite set of matrices is characterized that is an attractor for the system state covariance matrix sequence. Moreover, upper and lower bounds on the covariance matrices of the state are determined by the trajectories of one-dimensional linear systems. Copyright (C) 2022 The Authors.
引用
收藏
页码:139 / 144
页数:6
相关论文
共 32 条
[1]   Finite-horizon covariance control for discrete-time stochastic linear systems subject to input constraints [J].
Bakolas, Efstathios .
AUTOMATICA, 2018, 91 :61-68
[2]   Stabilizability of switched linear systems does not imply the existence of convex Lyapunov functions [J].
Blanchini, Franco ;
Savorgnan, Carlo .
AUTOMATICA, 2008, 44 (04) :1166-1170
[3]   Stability analysis of deterministic and Stochastic switched systems via a comparison principle and multiple Lyapunov functions [J].
Chatterjee, D ;
Liberzon, D .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2006, 45 (01) :174-206
[4]   Dwell Time Analysis of Deterministic and Stochastic Switched Systems [J].
Colaneri, Patrizio .
EUROPEAN JOURNAL OF CONTROL, 2009, 15 (3-4) :228-248
[5]   A THEORY OF STATE COVARIANCE ASSIGNMENT FOR DISCRETE-SYSTEMS [J].
COLLINS, EG ;
SKELTON, RE .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1987, 32 (01) :35-41
[6]   Stability analysis and control synthesis for switched systems: A switched Lyapunov function approach [J].
Daafouz, J ;
Riedinger, P ;
Iung, C .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (11) :1883-1887
[7]   Stability and performance of discrete-time switched linear systems [J].
Deaecto, Grace S. ;
Geromel, Jose C. .
SYSTEMS & CONTROL LETTERS, 2018, 118 :1-7
[8]   Probabilistic reachable and invariant sets for linear systems with correlated disturbance [J].
Fiacchini, Mirko ;
Alamo, Teodoro .
AUTOMATICA, 2021, 132
[9]   Stabilization and control Lyapunov functions for language constrained discrete-time switched linear systems [J].
Fiacchini, Mirko ;
Jungers, Marc ;
Girard, Antoine .
AUTOMATICA, 2018, 93 :64-74
[10]   On the Stabilizability of Discrete-Time Switched Linear Systems: Novel Conditions and Comparisons [J].
Fiacchini, Mirko ;
Girard, Antoine ;
Jungers, Marc .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2016, 61 (05) :1181-1193