Abstract
In this course we will explore and study a mathematical approach aimed directly at dealing with complex physical systems that are coupled in feedback. The general methodology we study has analytical applications to both human-engineered systems and systems that arise in nature, and the context of our course will be its use for feedback control.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Notes and references
A.I. Lur’e. Some Nonlinear Problems in the Theory of Automatic Control. Her Majesty’s Stationary Office, 1957. In Russian 1951.
A.I. Lur’e and V.N. Postnikov. On the theory of stability of controlled systems. Prikladnaya Matematika i Mekhanika,8:246–248, 1944. In Russian.
V.M. Popov. Hyperstability of Control Systems. Springer, 1973. In Romanian 1966.
J. Guckenheimer and P. Holmes. Nonlinear oscillations, dynamical systems and bifurcations of vector fields. Springer, 1986.
H.K. Khalil. Nonlinear Systems. Prentice-Hall, 1996.
M.W. Spong and D.J. Block. The pendubot: A mechatronic system for control research and education. In Proc. IEEE Conference on Decision and Control, 1995.
M. A. Dahleh and I. J. Diaz-Bobillo. Control of Uncertain Systems: a Linear Programming Approach. Prentice Hall, 1995.
B.A. Francis. A Course in H,,,„ Control Theory. Springer, 1987.
M. Green and D.J.N. Limebeer. Linear Robust Control. Prentice Hall, 1995.
K. Zhou, J.C. Doyle, and K. Glover. Robust and Optimal Control. Prentice Hall, 1996.
J.C. Doyle, B.A. Francis, and A. Tannenbaum. Feedback Control Theory. Macmillan, 1992.
M. Morari and E. Zafiriou. Robust Process Control. Prentice Hall, 1989.
K. Zhou and J.C. Doyle. Essentials of Robust Control. Prentice Hall, 1998.
R.S. Sanchez-Pena and M. Sznaier. Robust Systems Theory and Applications. Wiley, 1998.
S. Skogestad and I. Postlethwaite. Multivariable Feedback Control: Analysis and Design. Wiley, 1996.
R.E. Skelton, T. Iwasaki, and K.M. Grigoriadis. A Unified Algebraic Approach to Linear Control Design. Taylor and Francis, 1998.
S.P. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan. Linear Matrix Inequalities in System and Control Theory. Society for Industrial and Applied Mathematics, 1994.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer Science+Business Media New York
About this chapter
Cite this chapter
Dullerud, G.E., Paganini, F. (2000). Introduction. In: A Course in Robust Control Theory. Texts in Applied Mathematics, vol 36. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3290-0_1
Download citation
DOI: https://doi.org/10.1007/978-1-4757-3290-0_1
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-3189-4
Online ISBN: 978-1-4757-3290-0
eBook Packages: Springer Book Archive