Abstract
One of the approaches to sampled-data controller design for nonlinear continuous-time systems consists of obtaining an appropriate model and then proceeding to design a controller for the model. Hence, it is important to derive a good approximate sampled-data model because the exact sampled-data model for nonlinear systems is often unavailable to the controller designers. Recently, Yuz and Goodwin proposed a more accurate model than the simple Euler model in the case of a zero-order hold. This article derives a sampled-data model for nonlinear systems using a fractional-order hold, and analyzes the zero dynamics of the sampled-data model.
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References
Laila DS, Nešić D, Astolf A (2006) Sampled-data control of nonlinear systems. Advanced topics in control systems theory. LNCIS 328. Loría A, et al (eds) Springer, London, pp 91–137
Nešić D, Teel A (2004) A framework for stabilization of nonlinear sampled-data systems based on their approximate discrete-time models. IEEE Trans Autom Control 49(7):1103–1122
Yuz JI, Goodwin GC (2005) On sampled-data models for nonlinear systems. IEEE Trans Autom Control 50(10):1477–1489
Ishitobi M, Nishi M, Kunimatsu S (2008) Stability of zero dynamics of sampled-data nonlinear systems. Preprints of the 17th IFAC World Congress, pp 5969–5973
Nishi M, Kunimatsu S, Ishitobi M, et al (2008) On sampled-data models for nonlinear systems with relative degree two. Proceedings of the 3rd International Symposium on Advanced Control of Industrial Processes, pp 272–276
Åström KJ, Hagander P, Sternby J (1983) Zeros of sampled systems. Automatica 20(1):31–38
Hagiwara T, Yuasa T, Araki M (1993) Stability of the limiting zeros of sampled-data systems with zero- and first-order holds. Int J Control 58(6):1325–1346
Passino KM, Antsaklis PJ (1988) Inverse stable sampled low-pass systems. Int J Control 47(6):1905–1913
Ishitobi M (1996) Stability of zeros of sampled system with fractional order hold. IEE Proc Control Theor Appl 143(3):296–300
Hayakawa Y, Hosoe S, Ito M (1983) On the limiting zeros of sampled multivariable systems. Syst Control Lett 2(5):292–300
Weller SR (1999) Limiting zeros of decouplable MIMO systems. IEEE Trans Autom Control 44(1):129–134
Ishitobi M (2000) A stability condition of zeros of sampled multivariable systems. IEEE Trans Autom Control 45(2):295–299
Ishitobi M (1996) Properties of zeros of a discrete-time system with fractional order hold. Proceedings of the 35th IEEE Conference on Decision and Control, pp 433–4344
Liang S, Ishitobi M (2004) The stability properties of the zeros of sampled models for time delay systems in fractional order hold case. Dynamics Continuous, Discrete Impulsive Syst, Ser B, Appl Algorithms 11(3): 299–312
Isidori A (1995) Nonlinear control systems. 3rd edn. Springer
Khalil H (2002) Nonlinear systems. 3rd edn. Prentice-Hall, Upper Saddle River
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This work was presented in part at the 15th International Symposium on Artificial Life and Robotics, Oita, Japan, February 4–6, 2010
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Nishi, M., Ishitobi, M. Sampled-data models for affine nonlinear systems using a fractional-order hold and their zero dynamics. Artif Life Robotics 15, 500–503 (2010). https://doi.org/10.1007/s10015-010-0852-1
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DOI: https://doi.org/10.1007/s10015-010-0852-1