Output feedback stabilization over finite-bandwidth communication channels with signal-to-noise ratio constraint

This paper is concerned with the stabilization problem of an unstable non-minimum phase (NMP) plant controlled over a signal-to-noise ratio (SNR) constrained channel with bandwidth limitation. In the considered control structure, communication channel connects a dynamic output feedback controller to the single-input single-output plant. Using a novel description of SNR, the effect of the channel’s NMP zeros on the minimum SNR required for stabilizability is investigated for the first time. It is indicated that in the presence of an NMP bandwidth-limited channel, compared with a minimum phase channel with infinite bandwidth, greater SNR is required to guarantee the stabilizability of the closed-loop system. The results are verified through two numerical examples.

[1]  Eduardo I. Silva,et al.  Control of LTI plants over erasure channels , 2011, Autom..

[2]  Xuhui Bu,et al.  Model free adaptive control with data dropouts , 2011, Expert Syst. Appl..

[3]  J. Conway,et al.  Functions of a Complex Variable , 1964 .

[4]  Zhi-Hong Guan,et al.  Optimal tracking performance and design of networked control systems with packet dropouts , 2013, J. Frankl. Inst..

[5]  C.T. Abdallah,et al.  Inherent issues in networked control systems: a survey , 2004, Proceedings of the 2004 American Control Conference.

[6]  Richard H. Middleton,et al.  Feedback stabilization over signal-to-noise ratio constrained channels , 2007, Proceedings of the 2004 American Control Conference.

[7]  Wei Zhang,et al.  Stability of networked control systems , 2001 .

[8]  Robin J. Evans,et al.  Feedback Control Under Data Rate Constraints: An Overview , 2007, Proceedings of the IEEE.

[9]  M. Vidyasagar.  Control System Synthesis : A Factorization Approach , 1988 .

[10]  Huajing Fang,et al.  Observer-based fault detection for networked discrete-time infinite-distributed delay systems with packet dropouts , 2012 .

[11]  Baocang Ding,et al.  Model predictive control of linear systems over networks with data quantizations and packet losses , 2013, Autom..

[12]  Robin J. Evans,et al.  Stabilizability of Stochastic Linear Systems with Finite Feedback Data Rates , 2004, SIAM J. Control. Optim..

[13]  Nan Xiao,et al.  Analysis and design of discrete-time networked systems over fading channels , 2011, Proceedings of the 30th Chinese Control Conference.

[14]  Magdi S. Mahmoud,et al.  Dynamic feedback control over unreliable communication channels , 2014, IMA J. Math. Control. Inf..

[15]  Ping Wang,et al.  Model predictive control of non-linear systems over networks with data quantization and packet loss. , 2013, ISA transactions.

[16]  Mo-Yuen Chow,et al.  Networked Control System: Overview and Research Trends , 2010, IEEE Transactions on Industrial Electronics.

[17]  John G. Proakis,et al.  Digital Communications , 1983 .

[18]  Zhi Ding,et al.  Nonminimum-phase FIR channel estimation using cumulant matrix pencils , 2003, IEEE Trans. Signal Process..

[19]  Wu Min,et al.  Improved Stabilization Method for Networked Control Systems , 2006, 2007 Chinese Control Conference.

[20]  André B. J. Kokkeler,et al.  Nonminimum-phase channel equalization using all-pass CMA , 2013, 2013 IEEE 24th Annual International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC).

[21]  J. Freudenberg,et al.  Stabilization of non-minimum phase plants over signal-to-noise ratio constrained channels , 2004, 2004 5th Asian Control Conference (IEEE Cat. No.04EX904).

[22]  R.H. Middleton,et al.  Output feedback stabilisation over bandwidth limited, signal to noise ratio constrained communication channels , 2006, 2006 American Control Conference.

[23]  Mathukumalli Vidyasagar,et al.  Control System Synthesis: A Factorization Approach, Part I , 2011, Control System Synthesis Part I.

[24]  Andrea Goldsmith,et al.  Wireless Communications , 2005, 2021 15th International Conference on Advanced Technologies, Systems and Services in Telecommunications (TELSIKS).

[25]  Arash Farnam,et al.  Improved stabilization method for networked control systems with variable transmission delays and packet dropout. , 2014, ISA transactions.

[26]  Richard H. Middleton,et al.  EFFECTS OF TIME DELAY ON FEEDBACK STABILISATION OVER SIGNAL-TO-NOISE RATIO CONSTRAINED CHANNELS , 2005 .

[27]  Li Yu,et al.  Moving horizon estimation for networked systems with multiple packet dropouts , 2012 .

[28]  Richard H. Middleton,et al.  Fundamental limitations in control over a communication channel , 2008, Autom..