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Some issues about multirate systems and signals are reviewed in this contribution. First, different models for these signals and systems are considered. Discrete time sequences or blocks of data structured in a sequential or shifted form, allow the representation of signals sampled at different sampling rates, all of them being globally periodic. Process models dealing with sequences or blocks of data can be used to represent multirate scenarios. These models will also lead to a number of appropriate control design techniques. For the analysis and design of multirate controllers, different approaches are considered, such as the discretization of continuous time designed controllers or the direct design of multirate controllers. These techniques are compared and some properties and drawbacks are highlighted. In particular, the ripple in the intersampling behaviour of the controlled system, considered as an unavoidable drawback of multirate controllers, is also investigated.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
5--23
Opis fizyczny
Bibliogr. 29 poz., rys., wykr.
Twórcy
autor
- Department of Systems Engineering and Control, Universidad Politécnica de Valencia, P.O. Box 22012 E-46071 Valencia, Spain
autor
- Department of Systems Engineering and Control, Universidad Politécnica de Valencia, P.O. Box 22012 E-46071 Valencia, Spain
Bibliografia
- [1] Albertos P., Block Multirate Input-Output Model for Sampled-Data Control Systems, IEEE Trans, on Control, Vol. AC-35, No. 9, 1990, 1085-1088.
- [2] Albertos P., Goodwin G. C., Virtual sensors for control applications. Annual Reviews in Control, No. 26, 2002, 101-112.
- [3] Albertos P., Salt J., MR control design by rate decomposition, 30th Conference on Decision and Control, Sydney, Australia, 2000.
- [4] Albertos P., Sanchis R., Ripple-free Design of Sampled-Data Control Systems, 1st Asian Control Conference, Tokyo, Vol. 2, 1994, 365-368.
- [5] Albertos P., Sanchis R., Sala A., Output prediction under scarce data operation: control applications, Automatica, Vol. 35, No. 10, 1999, 1671-1681.
- [6] Albertos P., Salt J., Tornero J., Dual Rate Adaptive Control, Automatica, Vol. 32, No. 7, 1996, 1027-1030.
- [7] Astrom K. J., Wittenmark B., Computer Controlled Systems, Prentice-Hall, 1984.
- [8] Araki M., Recent development in digital control theory, Proc. 12th IFAC World Congress, Vol. 9, 1993,951-960.
- [9] Araki M., Yamamoto K., Multivariable multirate sampled-data systems: state-space description, transfer characteristics, and Nyquist criterion, IEEE Trans, on Control, Vol. AC-31, No. 2, Feb. 1986, 145-154.
- [10] Bamieh B., Pearson J. B., Francis B. A., Tannenbaum A., A lifting technique for linear periodic systems with applications to sampled-data control. Systems and Control Letters, Vol. 17, 1991, 79-88.
- [11] Feuer A., Goodwin G., Sampling in digital signal processing and control, Birkhauser, 1996.
- [12] Godbout L. F., Jordan D., Apostolakis I. S., Closed-loop model for general multirate digital control systems, lEE Proc., Vol. 137, Pt.D., No. 5, 1990, 326-336.
- [13] Hovestadt E., Multirate control algorithms for time-variable sampling periods, IFAC Symp. Design Methods of Control Systems, Zurich, Switzerland, 1991, 105-110.
- [14] Isermann R., Digital Control Systems, Springer Verlag, 1981.
- [15] Ishitobi M., Kawanaka M., Nishi H., Ripple suppressed multirate adaptive control, 15th IFAC World Congress, Barcelona, 2002.
- [16] Jia Q.-W., Ooi K.-K., Wu D.-W., Multirate Control of an HHD Servo System with Intersample Ripple Free, IEEE Transactions on Magnetics, Vol. 38, No. 5, Sept. 2002.[17] Kranc G. M., Compensation of an Error-Sampled System by a Multirate Controller, Trans. AIEE, Vol. 6, part II, 1957, 149-155.
- [18] Lee J. H., Morari M., Robust Inferential Control of Multi-Rate Sampled-Data Systems, Chemical Engineering Science, Vol. 47, No. 4, 1992, 865-885.
- [19] Liou L.-W., Ray A., Integrated Communication and Control Systems: Part III - Nonidentical Sensor and Controller Sampling, J. of Dynamic Systems, Measurement and Control, Vol. 112, No. 110, Sept. 1990, 357-364.
- [20] Meyer D. G., A new class of shift-varying operators, the shift-invariant equivalents and multirate digital systems, IEEE Transactions on Automatic Control, 35, 1990, 429-433.
- [21] Moore K. L., Bhattacharyya S. P., Dahleh M., Capabilities and Limitations of Multirate Control Schemes, Automatica, Vol. 29. No. 4, 1993, 941-951.
- [22] Qiu L., Chen T., H2-0ptimal design of multirate sampled-data systems, IEEE Trans on Auto. Control, Vol. 39, No. 12, 1994, 2506-2511.
- [23] Sanchis R., Albertos P., Recursive identification under scarce measurements. Convergence analysis, Automatica 38, 2002, 535-544.
- [24] Rossiter J. A., Chen T., Shah S. L., A comparison of lifting and inferential control for multi-rate systems. Proceedings of the American Control Conference, Denver, Colorado, June 2003.
- [25] Thompson P. M., Gain and phase margin of multirate sampled-data feedback systems. Int. J. Control, Vol. 44, Sept. 1986, 833-846.
- [26] Tsao, Tsu-Chin, Nemani M., Hutchinson S., Multi-Rate Analysis and Design of Visual Feedback Digital Servo-Control System, Journal of Dynamic Systems, Measurements and Control, Vol. 116, March 1994, 45-55.
- [27] Voulgaris P., Bamieh B., Optimal H„ and H2 control of hybrid multirate systems. Systems and Control Letters, Vol. 20, 1993, 249-261.
- [28] Yamamoto Y., New approach to sampled data control systems: a function state method. Proc. 29th CDC, 1990, 1882-1887.
- [29] Zhang C., In H., A Multirate Digital Controller for Model Matching, Automatica, Vol. 30, No. 6, 1994, 1043-1050
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-article-BAT5-0008-0034