Abstract
Practical implementation of a controller for an infinite-dimensional system generally requires that the controller be finite-dimensional. A design method is presented here that provides a link between infinite-dimensional system theory and finite-dimensional linear robust control system design tools that have been developed and refined over the last decade.
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
G. BALAS, J. DOYLE, K. GLOVER, A. PACKARD, and R. SMITH, µ-Analysis and Synthesis Toolbox (µ-Tools, The Math Works, Inc., 1991.
M.J. BALAS, “Toward A More Practical Control Theory for Distributed Parameter Systems,” in Control and Dynamic Systems, C. Leondes (ed.), vol. 18, Academic Press, New York, 1982, pp. 361 – 421.
Y. CHAIT, “Modeling Error Bounds for Flexible Structures with Application to Robust Control,” AIAA J. Guid. Cont. Dyn., v. 14, 1991, pp. 665 – 667.
Y. CHAIT, C.J. RADCLIFFE, and C.R. MACCLUER, “Frequency Domain Stability Criterion for Vibration Control of the Bernoulli-Euler Beam,” ASME J. Dyn. Sys., Meas., Cont., v. 110, 1988, pp. 303 – 307.
R.F. CURTAIN, “A Synthesis of Time and Frequency Domain Methods for the Control of Infinite-Dimensional Systems: A System Theoretic Approach,” in Control and Estimation in Distributed Parameter Systems, H.T. Banks (ed.), Frontiers in Applied Mathematics, SIAM, 1992.
R.F. CURTAIN, “Robust Controllers For Infinite-Dimensional Systems,” in Analysis and Optimization of Systems: State and Frequency Domain Approaches for Infinite-Dimensional Systems, R.F. Curtain (ed.), Springer-Verlag, 1993, Proceedings of the 10th International Conference, Sophia-Antipolis, France, June 9–12, 1992.
R.F. CURTAIN and K. GLOVER, “Controller Design for Distributed Systems Based on Hankel-Norm Approximations,” IEEE Trans. Aut. Control, v. AC-31, 1986, pp. 173 – 176.
R.F. CURTAIN and K. GLOVER, “Robust Stabilization of Infinite- Dimensional Systems by Finite-Dimensional Controllers,” Sys. Control Lett., v. 7, 1986, pp. 41 – 47.
C.A. DESOER and M. VIDYASAGAR, Feedback Systems: Input-Output Properties, Academic Press, New York, 1975.
J.C. DOYLE, B.A. FRANCIS, and A.R. TANNENBAUM, Feedback Control Theory, Macmillan, New York, 1992.
M.A. ERICKSON, Computational Methods for Infinite-Dimensional Control Systems, PhD thesis, University of California, Santa Barbara, June 1994.
A.K. PACKARD, What’s New with μ: Structured Uncertainty in Multivariate Control, PhD thesis, University of California, Berkeley, May 1988.
M. VIDYASAGAR, Control System Synthesis: A Factorization Approach, MIT Press, Cambridge, MA, 1985.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1995 Birkhäuser Boston
About this paper
Cite this paper
Erickson, M.A., Laub, A.J. (1995). Designing Controllers for Infinite-Dimensional Systems with Finite-Dimensional Control System Design Tools. In: Computation and Control IV. Progress in Systems and Control Theory, vol 20. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2574-4_8
Download citation
DOI: https://doi.org/10.1007/978-1-4612-2574-4_8
Publisher Name: Birkhäuser Boston
Print ISBN: 978-1-4612-7586-2
Online ISBN: 978-1-4612-2574-4
eBook Packages: Springer Book Archive