Abstract
In this paper we describe a set of symbolic computing tools for variable structure control system design. The software implements all aspects of a design approach for input-output linearizable systems. It is part of a comprehensive symbolic computing environment for nonlinear and adaptive control system design that has been under continuous development for several years. Current work is focused on plants with nondifferentiable nonlinearities. Some preliminary results are reported.
Preview
Unable to display preview. Download preview PDF.
References
Blankenship, G.L., et al., Integrated tools for Modeling and Design of Controlled Nonlinear Systems. IEEE Control Systems, 1995. 15(2): p. 65–79.
Kwatny, H.G. and H. Kim, Variable Structure Regulation of Partially Linearizable Dynamics. Systems & Control Letters, 1990. 15: p. 67–80.
Kwatny, H.G., Variable Structure Control of AC Drives, in Variable Structure Control for Robotics and Aerospace Applications, K.D. Young, Editor. 1993, Elsevier: Amsterdam.
Kwatny, H.G. and J. Berg, Variable Structure Regulation of Power Plant Drum Level, in Systems and Control Theory for Power Systems, J. Chow, R.J. Thomas, and P.V. Kokotovic, Editors. 1995, Springer-Verlag: New York. p. 205–234.
Isidori, A., Nonlinear Control Systems. 1989, NY: Springer-Verlag.
Kwatny, H.G. and G.L. Blankenship. Symbolic Tools for Variable Structure Control System Design: The Zero Dynamics. in IFAC Symposium on Robust Control via Variable Structure and Lyapunov Techniques. 1994. Benevento, Italy.
Luk'yanov, A.G. and V.I. Utkin, Methods of Reducing Equations of Dynamic Systems to Regular Form. Avtomatica i Telemechanika, 1981(4): p. 5–13.
Isidori, A., Nonlinear Control Systems. 3 ed. 1995, London: Springer-Verlag.
Marino, R., High Gain Feedback Non-Linear Control Systems. International Joural of Control, 1985. 42(6): p. 1369–1385.
Utkin, V.I., Sliding Modes and Their Application. 1974 (in Russian) 1978 (in English), Moscow: MIR.
Young, K.D. and H.G. Kwatny, Variable Structure Servomechanism and its Application to Overspeed Protection Control. Automatica, 1982. 18(4): p. 385–400.
Slotine, J.J. and S.S. Sastry, Tracking Control of Non-Linear Systems Using Sliding Surfaces, With Application to Robot Manipulators. International Journal of Control, 1983. 38(2): p. 465–492.
Slotine, J.J.E., Sliding Controller Design for Non-Linear Control Systems. International Journal of Control, 1984. 40(2): p. 421–434.
Young, K.D., P.V. Kokotovic, and V.I. Utkin, Singular Perturbation Analysis of High Gain Feedback Systems. IEEE Transactions on Automatic Control, 1977. AC-22(6): p. 931–938.
Emelyanov, S.V., S.K. Korovin, and L.V. Levantovsky, A Drift Algorithm in Control of Uncertain Processes. Problems of Control and Information Theory, 1986. 15(6): p. 425–438.
Kwatny, H.G. and T.L. Siu. Chattering in Variable Structure Feedback Systems. in 10th IFAC World Congress. 1987. Munich.
Friedland, B., Advanced Control System Design. 1996, Englewood Cliffs: Prentice hall.
Tao, G. and P.V. Kokotovic, Adaptive Control of Systems with Actuator and Sensor Nonlinearities. 1996, New York: John Wiley and Sons, Inc.
Bennett, W.H., et al., Nonlinear and Adaptive control of Flexible Space Structures. Transactions ASME, Journal of Dynamic Systems, Measurement and Control, 1993. 115(1): p. 86–94.
Bennett, W.H., H.G. Kwatny, and M.J. Baek, Nonlinear Dynamics and Control of Articulated Flexible Spacecraft: Application to SSF/MRMS. AIAA Journal on Guidance, Control and Dynamics, 1994. 17(1): p. 38–47.
Kanellakapoulos, I., P.V. Kokotovic, and A.S. Morse, Systematic design of Adaptive Controllers for Feedback Linearizable Systems. IEEE Transactions on Automatic Control, 1991. AC-36(11): p. 1241–1253.
Freeman, R.A. and P.V. Kokotovic, Design of 'softer’ Robust Nonlinear Control Laws. Automatica, 1993. 29(6): p. 1425–1437.
Kwatny, H.G. and C. LaVigna, TSi Dynamics User's Guide, 1994, Techno-Sciences, Inc.: Lanham, MD.
Teolis, C., Contract Summary Report: Adaptive Control of Systems with Friction and Backlash,. 1997, Techno-Sciences, Inc.: Lanham.
Armstrong-Helouvry, B., Control of Machines with Friction. 1991, Boston: Kluwer Academic Publishers.
Armstrong-Helouvry, B., P. Dupont, and C.C.d. Wit, A survey of models, analysis tools and compensation methods for the control of machines with friction. Automatica, 1994. 30(7): p. 1083–1138.
Branch, M.A. and A. Grace, Optimization Toolbox. 1996, Natick, MA: The Mathworks, Inc.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1999 Springer-Verlag
About this chapter
Cite this chapter
Teolis, C., Kwatny, H.G., Mattice, M. (1999). Symbolic computing tools for nonsmooth dynamics and control. In: Young, K., Özgüner, Ü. (eds) Variable structure systems, sliding mode and nonlinear control. Lecture Notes in Control and Information Sciences, vol 247. Springer, London. https://doi.org/10.1007/BFb0109980
Download citation
DOI: https://doi.org/10.1007/BFb0109980
Published:
Publisher Name: Springer, London
Print ISBN: 978-1-85233-197-9
Online ISBN: 978-1-84628-540-0
eBook Packages: Springer Book Archive