Abstract
A problem that occurs frequently in control engineering is to control the output of a system so that the output is maintained within strict bounds. Violation of the bounds results in unacceptable and perhaps catastrophic operation. A system of this kind is said to be critical and can be dealt with by the design framework built upon the principles of matching and inequalities. In this chapter, the design of the controller for a critical control system, which is the active magnetic suspension for a maglev transport system, is described. The design illustrates the power of the framework for designing critical control systems.
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
Armstrong, D.S. (1984), Magnet/rail systems — a critical review of the options, Proc. IMechE Conf. on Maglev Transport — Now and for the Future, Solihull, U.K., pp. 59–66.
Blanchini, F. (1995), Non-quadratic Lyapunov functions for robust-control, Automatica, 31(3):451–461.
de Figueiredo, R.J.P. and G.R. Chen (1989), Optimal disturbance rejection for nonlinear control systems, IEEE Trans. Autom. Control, 34(12):1242–1248.
Holmer, P. (2003), Faster than a speeding bullet train, IEEE Spectrum, 40(8):30–34.
Kortüm, W. and A. Utzt (1984), Control law design and dynamic evaluations for a maglev vehicle with a combined lift and guidance suspension system, ASME J. Dyn. Syst. Meas. & Control, 106:286–292.
Lu, W.M. (1998), Rejection of persistent L∞-bounded disturbances for nonlinear systems, IEEE Trans. Autom. Control, 43(12):1692–1702.
Müller, P.C. (1977), Design of optimal state-observers and its application to maglev vehicle suspension control, Proc. 4th IFAC Symp. Multivariable Technological Systems, Fredericton, Canada, pp. 175–182.
Ross, D. (ed.) (2003), China first with magnetic levitation, IEE Review, 49(2):17.
Sinha, P.K. (1987), Electromagnetic Suspension: Dynamics and Control, Peter Peregrinus, London.
Whidborne, J.F. (1993), EMS control system design for a maglev vehicle-A critical system, Automatica, 29(5):1345–1349.
Whidborne, J.F. and G.P. Liu (1993), Critical Control Systems: Theory, Design and Applications, Research Studies Press, Taunton, U.K.
Whidborne, J.F., V. Zakian, T. Ishihara, and H. Inooka (2000), Practical matching conditions for robust control design, Proc. 3rd Asian Contr. Conf., Shanghai, China, pp. 1463–1468.
Whidborne, J.F., T. Ishihara, H. Inooka, T. Ono and T. Satoh (2001), Some practical matching conditions for robust control system design, King’s College London Mechanical Engineering Department Report EM/2001/10, London, U.K.
Zakian, V. (1984), A framework for design: Theory of majorants, Technical Report 604, Control Systems Centre, UMIST, Manchester, U.K.
Zakian, V. (1986), A performance criterion, Int. J. Control, 43(3):921–931.
Zakian, V. (1987), Input spaces and output performance, Int. J. Control, 46(1):185–191.
Zakian, V. (1989), Critical systems and tolerable inputs, Int. J. Control, 49(4):1285–1289.
Zakian, V. and U. Al-Naib (1973), Design of dynamical and control systems by the method of inequalities, Proc. IEE, 120(11):1421–1427.
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
Whidborne, J.F. (2005). Critical Control of the Suspension for a Maglev Transport System. In: Zakian, V. (eds) Control Systems Design. Springer, London. https://doi.org/10.1007/1-84628-215-2_12
Download citation
DOI: https://doi.org/10.1007/1-84628-215-2_12
Publisher Name: Springer, London
Print ISBN: 978-1-85233-913-5
Online ISBN: 978-1-84628-215-7
eBook Packages: EngineeringEngineering (R0)