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Mean-square Stabilizability via Output Feedback for Non-minimum Phase Networked Feedback Systems [article]

Weizhou Su, Jieying Lu, Yilin Wu, Minyue Fu, Jie Chen
2018 arXiv   pre-print
This work studies mean-square stabilizability via output feedback for a networked linear time invariant (LTI) feedback system with a non-minimum phase plant.  ...  A numerical example is presented to illustrate the fundamental constraints in the mean-square stabilizability of the networked system.  ...  This is a very hard problem in general since non-minimum phase zeros make the mean-square stabilization via output feedback to be a non-convex problem (see for example [11] ).  ... 
arXiv:1810.12818v1 fatcat:ey3zuwqpkngqfnynydsrw6e5uq

Mean-Square Input-Output Stability and Stabilizability of a Networked Control System with Random Channel Induced Delays [article]

Weizhou Su, Junhui Li, Jieying Lu
2021 arXiv   pre-print
Moreover, the mean-square input-output stabilizability via output feedback is studied for the networked system.  ...  When the plant in the networked feedback system is minimum phase, an analytic necessary and sufficient condition is presented for its mean-square input-output stabilizability.  ...  After then, the mean-square input-output stabilizability via output feedback is studied for the networked feedback system.  ... 
arXiv:2108.12795v1 fatcat:kvrsohjaibao7dzed5b74ldm5i

Optimal output feedback control of a class of linear systems with quasi-colored control-dependent multiplicative noise [article]

Junhui Li, Jieying Lu, Weizhou Su
2021 arXiv   pre-print
This paper addresses the mean-square optimal control problem for \a class of discrete-time linear systems with a quasi-colored control-dependent multiplicative noise via output feedback.  ...  The optimal output feedback controller is designed using an optimal mean-square state feedback gain and two observer gains, which are determined by the mean-square stabilizing solution to a modified algebraic  ...  Corollary 1 shows that if e < 0.5739 = M −2 holds, then the closed-loop system is mean-square stabilizable and the minimum average control power for the plant P ǫ=0 via state feedback is explicitly given  ... 
arXiv:2109.01358v1 fatcat:6ondsodzcrgbhdbcegwc26dflu

Mean-Square Stability and Stabilizability Analyses of LTI Systems Under Spatially Correlated Multiplicative Perturbations [article]

Jianqi Chen and Tian Qi and Jie Chen
2022 arXiv   pre-print
In this paper, we investigate the mean-square stability and stabilizability problems for linear time-invariant systems under stochastic spatially correlated multiplicative uncertainties.  ...  ) systems by the output feedback controller in the mean-square sense.  ...  Nevertheless, compared with the existing results concentrated on the uncorrelated uncertainties (see for example [17] and [8] ), the mean-square stabilizability via output feedback under correlated  ... 
arXiv:2112.05363v2 fatcat:z6ltuuzi7bepvoayiuusugzmzq

Mean Square Stability Analysis of Stochastic Continuous-time Linear Networked Systems [article]

Sai Pushpak, Amit Diwadkar, Umesh Vaidya
2018 arXiv   pre-print
Necessary and sufficient conditions for mean square exponential stability are expressed in terms of the input-output property of deterministic or nominal system dynamics captured by the mean square system  ...  In this technical note, we study the mean square stability-based analysis of stochastic continuous-time linear networked systems.  ...  In other words, the non-minimum phase zeros increase the phase lag of the system, and the controller must utilize extra effort to nullify its effect.  ... 
arXiv:1602.02857v6 fatcat:2i3uhhjdbvgqnduikjvriiogsa

Optimal Tracking Design of an MIMO Linear System with Quantization Effects

Weizhou Su, Tian Qi, Jie Chen, Minyue Fu
2011 IFAC Proceedings Volumes  
Three problems are studied for the system: 1) For a set of given logarithm laws, how to design an optimal stabilizing controller for the closed-loop system in mean-square stability sense?  ...  We find that the problems 1 and 3 have a unique solution, respectively, and obtain an analytic solution for problem 2 when the plant is a minimum phase system.  ...  An explicit expression is presented for the minimum capacity which is need in stabilizing a minimum phase MIMO system via output feedback.  ... 
doi:10.3182/20110828-6-it-1002.01014 fatcat:fphjrjwnmne5rajzjz5uvn7gle

2014 Index IEEE Transactions on Automatic Control Vol. 59

2014 IEEE Transactions on Automatic Control  
., +, TAC June 2014 1673-1678 Robust Static Output Feedback Controllers via Robust Stabilizability Functions.  ...  ., +, TAC Nov. 2014 2897-2909 Robust Static Output Feedback Controllers via Robust Stabilizability Functions.  ... 
doi:10.1109/tac.2014.2382720 fatcat:jah5kqkafvejrd7xpvyikmi53e

2019 Index IEEE Transactions on Automatic Control Vol. 64

2019 IEEE Transactions on Automatic Control  
., TAC Jan. 2019 343-350 Positive Edge-Consensus for Nodal Networks via Output Feedback.  ...  Simpson-Porco, J.W., TAC April 2019 1440-1455 Positive Edge-Consensus for Nodal Networks via Output Feedback.  ... 
doi:10.1109/tac.2020.2967132 fatcat:o2hd2t4jz5fbpkcemjt5aj7xrm

Simple coding for achieving mean square stability over bit-rate limited channels

Eduardo I. Silva, Milan S. Derpich, Jan Ostergaard, Daniel E. Quevedo
2008 2008 47th IEEE Conference on Decision and Control  
In this paper, we show how simple coding systems comprising only LTI filters and memoryless entropy coded dithered scalar quantizers can be used to stabilize strongly stabilizable SISO LTI plant models  ...  over error-free bit-rate limited feedback channels.  ...  CONCLUSIONS In this paper, we have studied the mean square stabilization of strongly stabilizable SISO LTI plant models controlled over bit-rate limited channels.  ... 
doi:10.1109/cdc.2008.4738963 dblp:conf/cdc/SilvaDOQ08 fatcat:ncfzr46dhbfj7fybs26udi7huu

A Combined Multiple Model Adaptive Control Scheme and Its Application to Nonlinear Systems With Nonlinear Parameterization

Weitian Chen, Brian D. O. Anderson
2012 IEEE Transactions on Automatic Control  
., +, TAC Sept. 2012 2281-2293 A Minimum Phase Output in the Exact Tracking Problem for the Nonminimum Phase Underactuated Surface Ship.  ...  C., +, TAC Dec. 2012 3197-3202 A Minimum Phase Output in the Exact Tracking Problem for the Nonminimum Phase Underactuated Surface Ship.  ...  Multi-agent systems  ... 
doi:10.1109/tac.2011.2176162 fatcat:2airdooti5fi7kmuozmodywcga

A matrix transformation approach to H∞ control via static output feedback for input delay systems

Baozhu Du, James Lam, Zhan Shu
2009 2009 17th Mediterranean Conference on Control and Automation  
This paper addresses the static output feedback (SOF) H∞ control for continuous-time linear systems with an unknown input delay from a novel perspective.  ...  New equivalent characterizations on the stability and H∞ performance of the closed-loop system are established in terms of nonlinear matrix inequalities with free parametrization matrices.  ...  For this type of systems, many stabilization methods have been developed via state feedback controllers.  ... 
doi:10.1109/med.2009.5164738 fatcat:finazt3oijbafl4atasniebhfm

Stabilizability of Markov jump linear systems modeling wireless networked control scenarios (extended version) [article]

Yuriy Zacchia Lun, Alessandro D'Innocenzo
2019 arXiv   pre-print
While the problem of the optimal linear quadratic regulation for such systems has been already solved, we derive the necessary and sufficient conditions for stabilizability.  ...  The communication channels used to convey information between the components of wireless networked control systems (WNCSs) are subject to packet losses due to time-varying fading and interference.  ...  To prove the necessity, we assume that the system (4) is mean square stabilizable.  ... 
arXiv:1907.12403v2 fatcat:yq7hjvck6zdrtffhcnpfip6n3a

Adaptive output feedback control of uncertain multi-input multi-output systems using single hidden layer neural networks

N. Hovakimyan, A.J. Calise
2002 Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301)  
We argue that for an observable and stabilizable minimum phase system it should be sufficient to build a linear observer for the output tracking error vector.  ...  We consider adaptive output feedback control of uncertain multi-input multi-output nonlinear systems, in which both the dynamics and the dimension of the regulated plant may be unknown, but knowledge of  ...  In [26, 7] neural network based state feedback control methodology has been developed for non-affine in control systems arising in flight control applications.  ... 
doi:10.1109/acc.2002.1023243 fatcat:bzb42hmlf5bfznnlnceoqqjxny

Feedback Stabilization Over Signal-to-Noise Ratio Constrained Channels

Julio H. Braslavsky, Richard H. Middleton, James S. Freudenberg
2007 IEEE Transactions on Automatic Control  
In the case of state feedback, or output feedback with a delay-free, minimum phase plant, these limitations in fact match precisely those that might have been inferred by considering the associated ideal  ...  In the case of LTI output feedback, additional limitations are shown to apply if the plant is nonminimum phase.  ...  system via output feedback over an AWGN channel. feedback: U s (s) = −K (s)Y (s).  ... 
doi:10.1109/tac.2007.902739 fatcat:zbgspa77mnhe7pss3qzmxdp23i

Output consensus control for heterogeneous multi-agent systems

Luis Alvergue, Abhishek Pandey, Guoxiang Gu, Xiang Chen
2013 52nd IEEE Conference on Decision and Control  
Kim, Shim and Sio studied output synchronization for uncertain linear MASs with single-input/single-output (SISO), minimum phase systems in [39] .  ...  Corollary 3 3 Suppose that (A i , B i , C i ) is both stabilizable and detectable satisfying det(C i B i ) = 0 and (A i , B i , C i ) is strictly minimum phase for all i ∈ N .  ... 
doi:10.1109/cdc.2013.6760095 dblp:conf/cdc/AlverguePGC13 fatcat:zlno7slxg5gdtmqnd3swtoaxu4
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