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MIMO Control Over Additive White Noise Channels: Stabilization and Tracking by LTI Controllers

Yiqian Li, Jie Chen, Ertem Tuncel, Weizhou Su
2016 IEEE Transactions on Automatic Control  
We adopt a parallel additive white noise (AWN) model for MIMO communication channels, and consider as our performance measure the mean square error for a system's output to track in the mean square sense  ...  We derive necessary and sufficient conditions for the system to be mean square stabilizable and obtain analytical expressions of the optimal performance achievable by linear time-invariant (LTI) controllers  ...  This paper seeks to address stabilization and performance of MIMO NCS's by studying the tracking performance of LTI systems achievable by LTI control over noisy communication channels.  ... 
doi:10.1109/tac.2015.2458531 fatcat:l4wwqiwqufemjmbwamavlaq564

Tele-operation of Autonomous Vehicles over AWGN Channel

Ali Parsa, Alireza Farhadi
2020 Scientia Iranica. International Journal of Science and Technology  
This paper is concerned with the tele-operation of autonomous vehicles over analog Additive White Gaussian Noise (AWGN) channel, which is subject to transmission noise and power constraint.  ...  Then, the available results for linear control over analog AWGN channel are extended to account for linear continuous time systems with non -real valued and multiple real valued eigenvalues and for tracking  ...  Note that N (t) = n 1 (t) . . . n n (t) i.i.d. ∼ N (0, R) ( R = diag{r 1 , ..., rn }) is the additive noise of the MIMO channel (n i (t) ∼ N (0, ri ) is the additive noise of the ith path of the MIMO parallel  ... 
doi:10.24200/sci.2020.54447.3755 fatcat:ijbywmfg65ehjem2ymyahqit2a

Reference Tracking of Nonlinear Dynamic Systems over AWGN Channel Using Describing Function

Ali Parsa, Alireza Farhadi
2018 Scientia Iranica. International Journal of Science and Technology  
This paper presents a new technique for mean square asymptotic reference tracking of nonlinear dynamic systems over Additive White Gaussian Noise (AWGN) channel.  ...  Then, for this system, a mean square asymptotic reference tracking technique including an encoder, decoder and a controller is presented.  ...  ,r n }) is the additive noise of the MIMO channel (n i (t) ∼ N (0,r i ) is the additive noise of the ith path of the MIMO AWGN channel) and can be treated as the measurement noise provided the channel  ... 
doi:10.24200/sci.2018.20108 fatcat:b5sbm2guefa3nawd7rhjtuwsiq

Channel State Tracking for Large-Scale Distributed MIMO Communication Systems

D. Richard Brown, Rui Wang, Soura Dasgupta
2015 IEEE Transactions on Signal Processing  
This paper considers the problem of estimating and tracking channels in a distributed transmission system with transmit nodes and receive nodes.  ...  which must be tracked and predicted to facilitate coherent transmission.  ...  of seconds) and (units of Hertz) are the process noise parameters corresponding to white frequency noise and random walk frequency noise, respectively.  ... 
doi:10.1109/tsp.2015.2407316 fatcat:ovhp6w6kzjf6nh3nrehuj4oww4

Stabilizing Error Correction Codes for Control over Erasure Channels [article]

Jan Østergaard
2021 arXiv   pre-print
We propose (k,k') stabilizing codes, which is a type of delayless error correction codes that are useful for control over networks with erasures.  ...  Our focus is on LTI systems, and we construct codes based on independent encodings and multiple descriptions. Stability is assessed via Markov jump linear system theory.  ...  We demonstrate that stabilizing erasure codes can be an additive white Gaussian noise, which simulates the coding obtained from properly designed independent encodings [38] noise due to  ... 
arXiv:2112.11717v1 fatcat:yjiqd5ralfglxhqpppnutkybke

Optimal Tracking Performance of MIMO Discrete-Time Systems with Network Parameters

Chao-Yang Chen, Weihua Gui, Zhi-Hong Guan, Shaowu Zhou, Cailun Huang
2016 Discrete Dynamics in Nature and Society  
The optimal regulation properties of multi-input and multioutput (MIMO) discrete-time networked control systems (NCSs), over additive white Gaussian noise (AWGN) fading channels, based on state space representation  ...  Two kinds of network parameters, fading and the additive white Gaussian noise, are considered.  ...  Acknowledgments This work is partially supported by the National Natural  ... 
doi:10.1155/2016/6826130 fatcat:oiivboovtbd33oflk2zrjpshse

A brief introduction to the analysis and design of Networked Control Systems

Graham C. Goodwin, Eduardo I. Silva, Daniel E. Quevedo
2008 2008 Chinese Control and Decision Conference  
The supporting theory is very rich and combines aspects of control, signal processing, telecommunications and information theory.  ...  Networked Control has emerged in recent years as a new and exciting area in systems science.  ...  Derpich and J. Østergaard for fundamental contributions to the work summarized here.  ... 
doi:10.1109/ccdc.2008.4597262 fatcat:b6blac5tzrhrtjto4dytlepx5q

Tracking Performance Limitations of MIMO Networked Control Systems with Multiple Communication Constraints [article]

Chao-Yang Chen, Weihua Gui, Lianghong Wu, Zhaohua Liu, Huaicheng Yan
2019 IEEE Transactions on Cybernetics   pre-print
In addition, for MIMO NCSs, bandwidth (there are not identical two channels) always can affects the direction of unstable poles, and the channel allocation of bandwidth and encode-decode may be used for  ...  We focus on some basic communication constraints, including additive white noise (AWN), quantization noise, bandwidth, as well as encoder-decoder.  ...  [35] investigated the system's stabilizability as well as tracking performance under the additional white noise (AWN) channel power constraint. Qi et al.  ... 
doi:10.1109/tcyb.2019.2912973 pmid:31094701 arXiv:1904.12660v1 fatcat:rzofkuzddjhetcqvbcgefbyz7m

Optimal Suppression of Laser Beam Jitter by High-Order RLS Adaptive Control

P.K. Orzechowski, N.Y. Chen, J.S. Gibson, Tsu-Chin Tsao
2008 IEEE Transactions on Control Systems Technology  
Varying the order of the adaptive controller produces both fast adaptation and optimal steady-state performance in the experiment, without the large transients often produced by fixed-order recursive least-squares  ...  and jitter dynamics.  ...  The optimal control problem here is to find the controller in Fig. 6 that minimizes the steady-state variance of over all stabilizing controllers, under the assumptions that the signal is white, zero-mean  ... 
doi:10.1109/tcst.2007.903377 fatcat:lu3am3fxizcsbbzj453j7a4wmq

Convergence of Fundamental Limitations in Feedback Communication, Estimation, and Feedback Control over Gaussian Channels [article]

Jialing Liu, Nicola Elia
2009 arXiv   pre-print
In this paper, we establish the connections of the fundamental limitations in feedback communication, estimation, and feedback control over Gaussian channels, from a unifying perspective for information  ...  The optimal feedback communication system over a Gaussian necessarily employs the Kalman filter (KF) algorithm, and hence can be transformed into an estimation system and a feedback control system over  ...  ACKNOWLEDGEMENTS The authors would like to thank Anant Sahai, Sekhar Tatikonda, Sanjoy Mitter, Zhengdao Wang, Murti Salapaka, Shaohua Yang, Donatello Materassi, and Young-Han Kim for useful discussion.  ... 
arXiv:0910.0320v1 fatcat:evlblc5edbh3pmc7dwqeo5uvyq

Convergence of fundamental limitations in feedback communication, estimation, and feedback control over Gaussian channels

Jialing Liu, Nicola Elia
2014 Communications in Information and Systems  
A feedback communication system over a Gaussian channel is reformulated as an estimation system (i.e. a Kalman filter) and also as a feedback control system.  ...  This paper presents a unifying perspective on communication, estimation, and control.  ...  Acknowledgments The authors would like to thank Anant Sahai, Sekhar Tatikonda, Sanjoy Mitter, Zhengdao Wang, Shaohua Yang, and Donatello Materassi, Chong Li, for useful discussion.  ... 
doi:10.4310/cis.2014.v14.n3.a2 fatcat:nbig5itlu5bfpiyka3ibq2ll2y

Optimal Tracking Performance Limitation of Networked Control Systems With Limited Bandwidth and Additive Colored White Gaussian Noise

Zhi-Hong Guan, Chao-Yang Chen, Gang Feng, Tao Li
2013 IEEE Transactions on Circuits and Systems Part 1: Regular Papers  
additive colored white Gaussian noise of the communication channel.  ...  The best attainable tracking performance is obtained, and the impact of limited bandwidth and additive colored white Gaussian noise of the communication channel on the attainable tracking performance is  ...  The tracking performance of continuous-time MIMO systems with the additive white Gaussian noise (AWGN) was studied through one-and two-parameter control schemes in [27] , [29] .  ... 
doi:10.1109/tcsi.2012.2215717 fatcat:auzv4q3dprendps4xbqpqtee7m

2019 Index IEEE Transactions on Automatic Control Vol. 64

2019 IEEE Transactions on Automatic Control  
., +, TAC Aug. 2019 3391-3398 Mean Square Stabilization Over SNR-Constrained Channels With Colored and Spatially Correlated Additive Noises.  ...  ., +, TAC May 2019 1874-1889 Mean Square Stabilization Over SNR-Constrained Channels With Colored and Spatially Correlated Additive Noises.  ... 
doi:10.1109/tac.2020.2967132 fatcat:o2hd2t4jz5fbpkcemjt5aj7xrm

A convex approach to robust H2 performance analysis

M. Sznaier, T. Amishima, P.A. Parrilo, J. Tierno
2002 Automatica  
In addition, we show that this condition is indeed necessary and su cient for MISO and SIMO systems under a class of LTI uncertainty, and for MIMO plants under (arbitrarily slow) LTV uncertainty. ?  ...  In this paper, we consider the problem of assessing worst-case H2 performance for MIMO systems and we give an LMI based su cient condition for robust performance under LTI (not necessarily causal) model  ...  This work was supported in part by NSF under grants ECS-9625920 and 9907051, and AFOSR under grant F49620-00-1-0020.  ... 
doi:10.1016/s0005-1098(01)00299-0 fatcat:foie4op2erhtjdvv3ljiz67gxq

Performance of SIMO networked time-delay systems with encoding-decoding and quantization constraints

Xiao Hu, Xi-Sheng Zhan, Jie Wu, Huai-Cheng Yan
2020 IEEE Access  
His research interest is in stability of networked control systems. XI-SHENG ZHAN received the B.S. and M.S. degrees in control theory and control engineering from Liaoning  ...  It is also demonstrated that the modified performance will be badly degraded by feedback channel quantization and adjustment factor constraints, and encoding-decoding is beneficial to the modified performance  ...  The feedback stabilization over an additive white gaussian noise (AWGN) channel has been established in [22] .  ... 
doi:10.1109/access.2020.2981721 fatcat:3gsjo6plezcmrhtvci6scbc7ua
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