Michael CANTONI

Department of E&E Engineering
The University of Melbourne


[ Research | Teaching | Publications | Contact | Links ]

EDUCATION & EMPLOYMENT HISTORY

Jan. 2002 - present:
Associate Professor (since 2007) and Senior Lecturer (2002-2006),
Department of Electrical and Electronic Engineering, The University of Melbourne, Australia.

Sept. 2000 - Dec. 2001:
Research Fellow, Department of E&E Engineering, The University of Melbourne, Australia.

Oct. 1998 - Aug. 2000:
Research Fellow, St. John's College, Cambridge, U.K.

June 1998 - June 2000:
Research Associate, Department of Engineering, The University of Cambridge, U.K.

Apr. 1995 - June 1998:
Postgraduate Student, Control Group, Department of Engineering, The University of Cambridge, U.K.
Degree Obtained: Doctor of Philosophy (PhD)

Mar. 1990 - Mar. 1995:
Undergraduate Student, Faculty of Engineering, Computing and Mathematics, The University of Western Australia.
Degrees Obtained: B.E. (Elec. Eng. - Hons I) and B.Sc. (Appl. Math.),

RESEARCH INTERESTS [back to top]

My research interests lie within the broad area of systems theory and control.
More specifically (see also publications listed below):

  • Robustness analysis of feedback systems
  • Periodic systems and sampled-data control
  • Spatially-distributed and multi-dimensional systems
  • Model approximation and validation
  • Control of large-scale irrigation networks

TEACHING [back to top]

  • 2002-present:
      431-204 Digital Systems 2 : System Design
      431-658 Linear Systems Theory (postgrad)
      431-330 Design Lab (av. 8 students supervised per year)
      431-400 Final Year Project (av. 6 students supervised per year)

PUBLICATIONS [back to top]

Most papers are only available on request. Email cantoni[at]unimelb[dot]edu[dot]au if you would like a copy of a paper. All abstracts available for WWW access.

    Refereed journal papers and book chapters:

    1. R. Yang, L. Ntogramatzidis and M. Cantoni, "On the realisation of 2-D linear systems with recursively computable latent variable models." IEEE Transactions on Circuits and Systems I: Regular Papers, In press, 2008.
    2. L. Ntogramatzidis, M. Cantoni and R. Yang, "A geometric theory for 2D systems including notions of stabilisability." Multidimensional Systems and Signal Processing, In press, 2008 (invited).
    3. L. Ntogramatzidis, M. Cantoni and R. Yang, "On the partial realisation of non-causal 2-D linear systems." IEEE Transactions on Circuits and Systems I: Regular Papers, Vol. 54, pp. 1800-1808, 2007. Abstract.
    4. L. Zaccarian, Y. Li, E. Weyer, M. Cantoni and A. Teel, "Anti-windup for marginally stable plants and its application to open water channel control systems." Control Engineering Practice (IFAC), Vol. 15, pp. 261-272, 2007. Abstract.

    5. M. Cantoni, E. Weyer, Y. Li, S.K. Ooi, I. Mareels and M. Ryan, "Control of large-scale irrigation networks." in J.Bailliuel and P.Antsaklis (eds.), Speical Issue on the Technology of Networked Control Systems, Proceedings of the IEEE, Vol. 95, pp. 75-91, 2007 (invited). Abstract.

    6. M. Cantoni, "On the gap metric for finite-dimensional linear time-varying systems in continuous time." In B.A.Francis, J.C.Willems and M.C.Smith (eds.) Control of Uncertain Systems: Modelling, Approximation, and Design, Lecture Notes in Control and Information Sciences, Springer Verlag, pp. 67-78, 2006 (invited). Synopsis.

    7. I. Mareels, E. Weyer, S.-K. Ooi, M. Cantoni, Y. Li and G. Nair, "Systems engineering for irrigation systems: Successes and challenges." Annual Reviews in Control (IFAC), Vol. 29, pp. 191-204, 2005 (invited).

    8. P. Date and M. Cantoni, "On validating closed-loop behaviour from noisy frequency-response measurements." Systems and Control Letters, Vol. 54, pp. 607-612, 2005. Abstract.
    9. P. Date and M. Cantoni, "A bound on closed-loop performance based on finite frequency-response samples." Systems and Control Letters, Vol. 54, pp. 447-454, 2005. Abstract.
    10. M. Cantoni and G. Vinnicombe, "Controller discretization: A gap metric framework for analysis and synthesis." IEEE Transactions on Automatic Control, Vol. 49, No. 11, pp. 2033-2039, 2004. Abstract and Full Version [PDF] .
      Erratum: A typesetting error appears in equation (2) of the published version in IEEE TAC. This does not affect the results. The error has been corrected in the technical report (i.e. full version) available here.
    11. A. Lanzon and M. Cantoni, "On the formulation and solution of robust performance problems." Automatica, Vol. 39, pp. 1707-1720, 2003. Abstract and Full Version [PDF].
    12. M. Cantoni and G. Vinnicombe, "Linear feedback systems and the graph topology." IEEE Transactions on Automatic Control, Vol. 47, No. 5, pp. 710-719, 2002. Abstract.
    13. J. Reinshcke, M. Cantoni, and M.C. Smith, "A robust control framework for linear time-invariant spatially distributed systems." SIAM Journal on Control and Optimization, Vol. 40, No. 2, pp. 610-627, 2001. Abstract.
    14. M. Cantoni and K. Glover, "Gap-metric robustness analysis of linear periodically time-varying feedback systems." SIAM Journal on Control and Optimization, Vol. 38, No. 3, pp. 803-822, 2000. Abstract.
    15. M. Cantoni and K. Glover, "Existence of right and left representations of the graph for linear periodically time-varying systems." SIAM Journal on Control and Optimization, Vol. 38, No. 3, pp. 786-802, 2000. Abstract.
    16. M. Cantoni and K. Glover, "H-infinity sampled-data synthesis and related numerical issues." Automatica, Vol. 33, pp. 2233-2241, December 1997. Abstract.
    17. M. Cantoni, K.L. Teo, W.Y. Yan and V. Sreeram, "A gradient flow approach to computing a nonlinear discrete-time, quadratic-optimal, feedback gain matrix." Optimal Control Applications and Methods, Vol. 17, pp. 29-43, 1996. Abstract.
    18. M. Cantoni, K.L. Teo and V. Rehbock, "Suboptimal stabilising control for a class of nonlinear systems." IMA Journal of Mathematical Control and Information, Vol. 11, pp. 311-319, 1994. Abstract.
    Under review or in preparation:

    1. L. Ntogramatzidis and M. Cantoni, "On linear quadratic optimal control of 2-D systems." Submitted to Systems and Control Letters, Dec. 2007.
    2. M. Cantoni and H. Sandberg, "Computing the L2 gain of a linear periodic continuous-time system." Submitted to Automatica for consideration, Jan. 2007.
    Refereed conference papers:

    1. U. Jonsson, M. Cantoni and C.-Y. Kao, "On structured robustness analysis for feedback interconnections of unstable systems." To be presented at the 47th IEEE CDC, Cancun, Mexico, Dec. 2008.
    2. G. Buskes and M. Cantoni, "A step-wise procedure for reduced order approximation in the nu-gap metric." To be presented at the 47th IEEE CDC, Cancun, Mexico, Dec. 2008.
    3. Y. Li and M. Cantoni, "Distributed controller design for open water channels." In Proceedings of the 17th IFAC World Congress, Korea, July 2008.
    4. L. Ntogramatzidis, M. Cantoni and R. Yang, "Disturbance decoupling with preview for two-dimensional systems." In Proceedings of the 17th IFAC World Congress, Korea, July 2008.
    5. Y. Li and M. Cantoni, "On distributed anti-windup compensation for distributed linear control systems." In Proceedings of the 46th IEEE CDC, New Orleans, Dec. 2007.
    6. L. Ntogramatzidis, M. Cantoni and R. Yang, "A geometric approach with stability for two-dimensional systems." In Proceedings of the 46th IEEE CDC, New Orleans, Dec. 2007.
    7. R. Yang, L. Ntogramatzidis and M. Cantoni, "On the realisation of 2-D linear systems with implicit latent variable models." In Proceedings of the 46th IEEE CDC, New Orleans, Dec. 2007.
    8. G. Buskes and M. Cantoni, "Reduced order approximation in the nu-gap metric." In Proceedings of the 46th IEEE CDC, New Orleans, Dec. 2007.
    9. L. Ntogramatzidis and M. Cantoni, "Conditioned invariance and unknown-input observation for two-dimensional Fornasini-Marchesini models." In Proceedings of the European Control Conference, Kos Greece, July 2007.
    10. L. Ntogramatzidis and M. Cantoni, "On the sufficiency of finite-frame LQR optimality conditions for 2-D Roesser models." In Proceedings of the European Control Conference, Kos Greece, July 2007.
    11. L. Ntogramatzidis and M. Cantoni, "New results and applications of the geometric approach to two-dimensional systems." In Proceedings of the 45th IEEE CDC, San Diego, Dec. 2006.

    12. M. Cantoni, "A characterisation of the gap metric for approximation problems." In Proceedings of the 45th IEEE CDC, San Diego, Dec. 2006.

    13. L. Ntogramatzidis, M. Cantoni and R. Yang, "On the partial realisation of non-causal 2-D linear systems." In Proceedings of MTNS 2006, Kyoto, July 2006.

    14. Y. Li, M. Cantoni and E. Weyer, "On water-level error propagation in controlled irrigation channels." In Proceedings of the 44th IEEE CDC, Seville, December 2005.
    15. Y. Li and M. Cantoni, "On quantifying tolerable uncertainty for a specified level of closed-loop performance." In Proceedings of the 16th IFAC World Congress, Prague, July 2005.

    16. Y. Li, M. Cantoni and E. Weyer, "Design of a centralised controller for an irrigation channel using H-infinity loop-shaping." In Proceedings of the UKACC Control Conference, Bath, Sept. 2004.
    17. L. Zaccarian, Y. Li, E. Weyer, M. Cantoni and A. Teel, "Anti-windup for marginally stable plants applied to open water channels." In Proceedings of the Asian Control Conference, Melbourne, July 2004.
    18. G. Buskes and M. Cantoni, "Order reduction for circuit models obtained via modified nodal analysis." In Proceedings of the 23rd IASTED Int'l Conference on Modelling, Identification and Control, Switzerland, Feb. 2004.
    19. P. Date and M. Cantoni, "A lower bound on achieved closed-loop performance based on finite data." In Proceedings of the European Control Conference, Cambridge, 2003.
    20. P. Date and M. Cantoni, "Validation of closed-loop behaviour from noisy frequency response measurements." In Proceedings of the European Control Conference, Cambridge, 2003.
    21. M. Cantoni, "Algebraic characterisation of the H-infinty and H2 norms for continuous-time periodic systems." In Proceedings of the Asian Control Conference (invited), Singapore, Sept. 2002. PDF file (162K).
    22. M. Cantoni, "Necessity of a sampled-data approximation result." In Proceedings of the 40th IEEE CDC, Orlando, December 2001.
    23. M. Cantoni, "On model reduction in the nu-gap metric" In Proceedings of the 40th IEEE CDC, Orlando, December 2001.
    24. M. Cantoni and G. Vinnicombe, "Discretisation of feedback controllers in a pointwise gap metric." In Proceedings of the 39th IEEE CDC, Sydney, December 2000.
    25. A. Lanzon and M. Cantoni, "A state-space algorithm for the simultaneous optimisation of performance weights and controllers in mu-synthesis." In Proceedings of the 39th IEEE CDC, Sydney, December 2000.
    26. M. Cantoni, "Gap metric performance bounds for linear feedback systems." In Proceedings of the 38th IEEE CDC, Phoenix, December 1999.
    27. M. Cantoni and G. Vinnicombe, "Quantifying uncertainty and robust performance using the nu-gap metric." In Proceedings of the AIAA Guidance, Navigation and Control Conference, Portland, August, 1999 (invited).
    28. M. Cantoni and K. Glover, "Robustness of linear periodically time-varying closed-loop systems." In Proceedings of the 37th IEEE CDC, Tampa, December 1998.
    29. M. Cantoni and K. Glover, "Linear periodic systems: Representations and closed-loop stability." In Proceedings of MTNS 98, Padova, July 1998.
    30. M. Cantoni and K. Glover, "Frequency-Domain analysis of linear periodic operators with application to sampled-data control design." In Proceedings of the 36th IEEE CDC, San Diego, December 1997.
    31. M. Cantoni and K. Glover, "A design framework for continuous-time systems under sampled-data control." In Proceedings of the 35th IEEE CDC, Kobe, December 1996.
    32. M. Cantoni, K.L. Teo, W.Y. Yan and V. Sreeram, "A gradient flow approach to computing a nonlinear discrete-time, quadratic-optimal, feedback gain matrix." In Proceedings of the 33rd IEEE CDC, Orlando, December 1994.
    Dissertations:

    1. Linear Periodic Systems: Robustness Analysis and Sampled-Data Control. Ph.D. Dissertation, The University of Cambridge, 1998. Abstract and Postscript 2.47Mb or DVI file 850k.
    2. Feedback Control for Nonlinear Regulator Problems. Honours Dissertation, The University of Western Australia, 1994.

CONTACT INFORMATION [back to top]

Michael Cantoni
Associate Professor
The University of Melbourne
Dept. E&E Engineering
Parkville, VIC 3010
Australia

Phone: +61 3 8344 6697
Fax: +61 3 8344 6678
E-mail: cantoni [at] unimelb [dot] edu [dot] au
Office: 3.10, Level 3, EEE Building (Bldg. 193)

SOME LINKS


Disclaimer: This page, its contents and style, are the responsibility of the author and do not represent the views, policies or opinions of The University of Melbourne.

Author: Michael Cantoni
Last Updated: June, 2007