Abstract
This chapter considers the design of matched systems that are subject to persistent disturbances limited in both magnitude and rate of change. A computational method, that uses convex optimisation, for computing the approximate supremum absolute value of each output is presented. Together with the Method of Inequalities, the method is utilised in a numerical example to illustrate how a match can be achieved.
This is a preview of subscription content, log in via an institution to check access.
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
Birch, B. J. and Jackson, R. (1959). The behaviour of linear systems with inputs satisfying certain bounding conditions, Journal of Electronics & Control, 6(4):366–375.
Bongiorno, Jr., J. J. (1967). On the response of linear systems to inputs with limited amplitudes and slopes, SIAM Review, 9(3):554–563.
Boyd, S. P. and Barratt, C. H. (1991). Linear Controller Design: Limits of Performance, Prentice-Hall, Englewood Cliffs, NJ.
Chang, S. S. L. (1962). Minimal time control with multiple saturation limits, IRE International Convention Record, 10(2):143–151.
Horowitz, I. M. (1963). Synthesis of Feedback Systems, Academic Press, London.
Khachiyan, L. G. (1979). A polynomial algorithm in linear programming (in Russian), Doklady Akademii Nauk SSSR, 244:1093–1096.
Lane, P. G. (1992). Design of control systems with inputs and outputs satisfying certain bounding conditions, PhD thesis, University of Manchester Institute of Science and Technology.
Megginson, R. E. (1991). An Introduction to Banach Space Theory, Springer-Verlag, New York, NY.
Niksefat, N. and Sepehri, N. (2001). Designing robust force control of hydraulic actuators despite system and environment uncertainties, IEEE Control Systems Magazine, 21(2):66–77.
Reinelt, W. (2000). Maximum output amplitude of linear systems for certain input constraints, Proceedings of the 39th IEEE Conference on Decision and Control, pp. 1075–1080.
Rockafellar, R. T. (1970). Convex Analysis, Princeton University Press, Princeton, NJ.
Shor, N. Z. (1964). On the structure of algorithms for the numerical solution of optimal planning and design problems (in Russian), PhD thesis, Cybernetics Institute, Academy of Sciences of the Ukrainian SSR.
Yudin, D. B. and Nemirovskii, A. S. (1976). Informational complexity and efficient methods for the solution of convex extremal problems (in Russian), Ekonomika i Matematicheskie Metody, 12:357–369.
Zakian, V. (1979). New formulation for the method of inequalities, IEE Proceedings, 126:579–584.
Zakian, V. (1991). Well matched systems, IMA Journal of Mathematical Control & Information, 8:29–38.
Zakian, V. (1996). Perspectives on the principle of matching and the method of inequalities, International Journal of Control, 65(1):147–175.
Zakian, V. and U. Al-Naib (1973), Design of dynamical and control systems by the method of inequalities, IEE Proceedings, 120(11):1421–1427.
Zeidler, E. (1991). Applied Functional Analysis: Applications to Mathematical Physics, Springer-Verlag, New York, NY.
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
Satoh, T. (2005). Matching to Environment Generating Persistent Disturbances. In: Zakian, V. (eds) Control Systems Design. Springer, London. https://doi.org/10.1007/1-84628-215-2_3
Download citation
DOI: https://doi.org/10.1007/1-84628-215-2_3
Publisher Name: Springer, London
Print ISBN: 978-1-85233-913-5
Online ISBN: 978-1-84628-215-7
eBook Packages: EngineeringEngineering (R0)