Output Feedback Stabilization for Discrete-Time Systems Under Limited Communication

This paper addresses the output feedback stabilization problem for discrete-time networked control systems with imperfect input channels, i.e., the controller-actuator channels, where both quantization error and packet dropout are involved. A stabilizability condition is first derived for the single-input-single-output (SISO) case. It is shown that stabilization over quantized lossy channel actually involves a trade-off between robust stability control and robust performance control. Furthermore, the results are expanded to triangularly decoupled multiple-input-multiple-output (MIMO) systems and a necessary and sufficient condition is deduced, which also exhibits a compromise between robust stability control and robust performance control in the individual channel as echoing the SISO case.

[1]  Ling Shi,et al.  Finite Horizon LQR Control With Limited Controller-System Communication , 2013, IEEE Transactions on Automatic Control.

[2]  Vijay Gupta,et al.  On Stability in the Presence of Analog Erasure Channel Between the Controller and the Actuator , 2010, IEEE Transactions on Automatic Control.

[3]  Nan Xiao,et al.  Feedback Stabilization of Discrete-Time Networked Systems Over Fading Channels , 2012, IEEE Transactions on Automatic Control.

[4]  G. Goodwin,et al.  An algebraic approach to decoupling in linear multivariable systems , 2000 .

[5]  Lihua Xie,et al.  Finite-Level Quantized Feedback Control for Linear Systems , 2009, IEEE Transactions on Automatic Control.

[6]  Nan Xiao,et al.  Stabilization of Markov jump linear systems using quantized state feedback , 2010, Autom..

[7]  C. Scherer,et al.  Multiobjective output-feedback control via LMI optimization , 1997, IEEE Trans. Autom. Control..

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

[9]  Keyou You,et al.  Minimum Data Rate for Mean Square Stabilizability of Linear Systems With Markovian Packet Losses , 2011, IEEE Transactions on Automatic Control.

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

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

[12]  Jamie S. Evans,et al.  Kalman filtering with faded measurements , 2009, Autom..

[13]  Xiang Chen,et al.  Output feedback stabilization for networked control systems with quantized fading actuating channels , 2013, 2013 American Control Conference.

[14]  Xiang Chen,et al.  Observer-Based Stabilizing Controllers for Discrete-Time Systems with Quantized Signal and Multiplicative Random Noise , 2016, SIAM J. Control. Optim..

[15]  Koji Tsumura,et al.  Tradeoffs between quantization and packet loss in networked control of linear systems , 2009, Autom..

[16]  Lihua Xie,et al.  The sector bound approach to quantized feedback control , 2005, IEEE Transactions on Automatic Control.

[17]  James Lam,et al.  On the absolute stability approach to quantized feedback control , 2010, Autom..

[18]  Wen-an Zhang,et al.  Output Feedback Stabilization of Networked Control Systems With Packet Dropouts , 2007, IEEE Transactions on Automatic Control.

[19]  Nicola Elia,et al.  Stabilization of linear systems with limited information , 2001, IEEE Trans. Autom. Control..

[20]  Jie Chen,et al.  Stabilization of two-input two-output systems over SNR-constrained channels , 2013, Autom..

[21]  Wei Chen,et al.  Stabilization of Networked Multi-Input Systems With Channel Resource Allocation , 2013, IEEE Transactions on Automatic Control.

[22]  Richard M. Murray,et al.  Control over a network: Using actuation buffers to reduce transmission frequency , 2007, 2007 European Control Conference (ECC).

[23]  Tamer Basar,et al.  Optimal control of dynamical systems over unreliable communication links , 2004 .

[24]  Wei Chen,et al.  Stabilization of networked control systems with multirate sampling , 2013, Autom..

[25]  Bruno Sinopoli,et al.  Foundations of Control and Estimation Over Lossy Networks , 2007, Proceedings of the IEEE.

[26]  Kemin Zhou,et al.  H/sub /spl infin// Gaussian filter on infinite time horizon , 2002 .

[27]  Nicola Elia,et al.  Remote stabilization over fading channels , 2005, Syst. Control. Lett..

[28]  Wei-Yong Yan,et al.  Stability robustness of networked control systems with respect to packet loss , 2007, Autom..

[29]  Daniel Liberzon,et al.  Input to State Stabilizing Controller for Systems With Coarse Quantization , 2012, IEEE Transactions on Automatic Control.

[30]  Tamer Basar,et al.  Optimal control of LTI systems over unreliable communication links , 2006, Autom..

[31]  Xiang Chen,et al.  Multiobjective \boldmathHt/Hf Control Design , 2001, SIAM J. Control. Optim..

[32]  James Lam,et al.  A new delay system approach to network-based control , 2008, Autom..

[33]  R.H. Middleton,et al.  Feedback Stabilization Over Signal-to-Noise Ratio Constrained Channels , 2007, IEEE Transactions on Automatic Control.

[34]  Luca Schenato,et al.  To Zero or to Hold Control Inputs With Lossy Links? , 2009, IEEE Transactions on Automatic Control.