Two-degree-of-freedom anti-aliasing technique for wide-band networked control

Abstract In this paper we propose a new anti-aliasing technique for wide band networked control schemes. We study the potential equivalence with the usual one-degree-of-freedom anti-aliasing filtering. The benefits of the proposed anti-aliasing approach are illustrated with a simple example that incorporates an MPC controller in a Networked Control framework.

[1]  Thomas Parisini,et al.  Networked MPC for constrained linear systems: a recursive feasibility approach , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[2]  Graham C. Goodwin,et al.  Sampling and sampled-data models , 2010, Proceedings of the 2010 American Control Conference.

[3]  Marian J. Blachuta,et al.  Impact of anti-aliasing filters on optimal sampled-data PID control , 2010, IEEE ICCA 2010.

[4]  Senchun Chai,et al.  Design and stability analysis of networked control systems with random communication time delay using the modified MPC , 2006 .

[5]  Marian J. Blachuta,et al.  Are anti-aliasing filters really necessary for sampled-data control? , 2009, 2009 American Control Conference.

[6]  G. Goodwin,et al.  Generalized sample hold functions-frequency domain analysis of robustness, sensitivity, and intersample difficulties , 1994, IEEE Trans. Autom. Control..

[7]  Jian Chen,et al.  Packet-based robust MPC for Wireless Networked Control using co-design , 2010, Proceedings of the 2010 American Control Conference.

[8]  Marian J. Blachuta,et al.  On the effect of anti-aliasing filters on sampled-data PID control , 2009, 2009 Chinese Control and Decision Conference.

[9]  M. Naumović.  Sampling in Digital Signal Processing and Control , 2001 .

[10]  Graham C. Goodwin,et al.  Frequency domain sensitivity functions for continuous time systems under sampled data control , 1994, Autom..

[11]  Alan V. Oppenheim,et al.  Discrete-time Signal Processing. Vol.2 , 2001 .

[12]  Meng Wang,et al.  The SNR approach to networked control , 2011 .

[13]  H. Nyquist,et al.  Certain Topics in Telegraph Transmission Theory , 1928, Transactions of the American Institute of Electrical Engineers.

[14]  João Pedro Hespanha,et al.  A Survey of Recent Results in Networked Control Systems , 2007, Proceedings of the IEEE.

[15]  Graham C. Goodwin,et al.  Fundamental Limitations in Filtering and Control , 1997 .

[16]  Shi-Ming Yu,et al.  MPC-based method dealing with vacant sampling and data rejection in networked control systems , 2004, Proceedings of 2004 International Conference on Machine Learning and Cybernetics (IEEE Cat. No.04EX826).

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

[18]  Wu Jing,et al.  An MPC Approach to Networked Control Design , 2006, 2007 Chinese Control Conference.

[19]  Graham C. Goodwin,et al.  Control System Design , 2000 .

[20]  G. Goodwin,et al.  Generalised hold functions for fast sampling rates , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

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

[22]  D.E. Quevedo,et al.  A brief introduction to the analysis and design of Networked Control Systems , 2008, 2008 Chinese Control and Decision Conference.