Abstract
This chapter deals with the design of sampled-data control systems. The aim is to ensure that the system is matched to its environment. By applying the lifting technique, the system is treated as a linear time-invariant discrete-time system that completely retains the intersample behaviour. A numerically tractable condition for matching the system to its environment is derived in the form of inequalities involving a unit step response. Design parameters that satisfy the matching condition are found by an inequality solver. However, instead of using the exact matching condition, the corresponding inequalities obtained from the fast-discretised system are used in computation. This involves an approximation, but provides an efficient numerical procedure for computer-aided design. The design procedure is illustrated with a numerical example.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bamieh, B., J.B. Pearson, B.A. Francis, A. Tannenbaum, (1991) A lifting technique for linear periodic systems with applications to sampled-data control. Systems & Control Letters, 17:79–88.
Bamieh, B.A., J.B. Pearson, (1992) A general framework for linear periodic systems with applications to H∞ sampled-data control. IEEE Transactions Automatic Control, 37:418–435.
Chen, T., B.A. Francis, (1995) Optimal sampled-data control systems. Springer-Verlag, London.
Keller, J.P., B.D.O. Anderson, (1992) A new approach to the discretization of continuous-time controllers. IEEE Transactions on Automatic Control, 37:214–223.
Ono, T., T. Ishihara, H. Inooka, (2000) Design of sampled-data critical control systems with persistent/transient inputs using lifting technique. IEEE Transactions on Automatic Control, 45:2090–2094.
Ono, T., T. Ishihara, H. Inooka, (2002) Design of sampled-data critical control systems based on the fast-discretization technique. International Journal of Control, 75:572–581.
Whidborne, J.F., G.P. Liu, (1993) Critical Control Systems: Theory, Design and Applications, Research Studies Press, Taunton, U.K.
Zakian, V., (1979) New formulation for the method of inequalities. Proceedings of IEE, 126:579–584.
Zakian, V., (1989) Critical systems and tolerable inputs. International Journal of Control, 49:1285–1289.
Zakian, V., (1991) Well matched systems. IMA Journal of Mathematical Control & Information, 8:29–38. See also Corrigendum (1992), 9:101.
Zakian, V., (1996) Perspectives on the principle of matching and the method of inequalities. International Journal of Control, 65:147–175.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag London Limited
About this chapter
Cite this chapter
Ono, T. (2005). Design of a Sampled-data Control System. In: Zakian, V. (eds) Control Systems Design. Springer, London. https://doi.org/10.1007/1-84628-215-2_5
Download citation
DOI: https://doi.org/10.1007/1-84628-215-2_5
Publisher Name: Springer, London
Print ISBN: 978-1-85233-913-5
Online ISBN: 978-1-84628-215-7
eBook Packages: EngineeringEngineering (R0)