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Linear quadratic control with input saturation

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Perspectives in robust control

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 268))

Abstract

This paper studies a new approach to linear quadratic control for linear systems with input saturation. Our work presents an optimal sector bound to model the mismatch between the unsaturated controller and saturated one and an optimised control design associated with this sector bound. This leads to a new characterisation of invariant sets and new switching controllers. The main outcome of this paper is that better performance can be guaranteed for the same region of attraction, or equivalently, a larger region of attraction is given for the same level of guaranteed performance.

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References

  1. D.S. Bernstein and A. N. Michel (1995). “A chronological bibliography on saturating actuators, Int. J. Robust and Nonlinear Contr., vol. 5, pp. 375–380.

    Article  MathSciNet  Google Scholar 

  2. P. O. M. Scokaert and J. B. Rawling (1998). “Constrained linear quadratic regulation,” IEEE Trans. Auto. Contr., vol. 43, no. 8, pp. 1163–1169.

    Article  MATH  Google Scholar 

  3. A. Saberi, Z. Lin and A. R. Teel (1999). “Control of Linear Systems with Saturating Actuators,” IEEE Trans. Auto. Contr., vol. 41, no. 3, pp. 368–378.

    Article  MathSciNet  Google Scholar 

  4. J. A. De Dona (2000). Input Constrained Linear Control, Ph.D. thesis, University of Newcastle.

    Google Scholar 

  5. V. A. Yakubovich (1971). “S-procedure in nonlinear control theory,” Vestnik Leninggradskogo Universiteta, Ser. Matematika, pp. 62–77.

    Google Scholar 

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S.O. Reza Moheimani BSc, MengSc, PhD

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© 2001 Springer-Verlag London Limited

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Fu, M. (2001). Linear quadratic control with input saturation. In: Moheimani, S.R. (eds) Perspectives in robust control. Lecture Notes in Control and Information Sciences, vol 268. Springer, London. https://doi.org/10.1007/BFb0110614

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  • DOI: https://doi.org/10.1007/BFb0110614

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  • Publisher Name: Springer, London

  • Print ISBN: 978-1-85233-452-9

  • Online ISBN: 978-1-84628-576-9

  • eBook Packages: Springer Book Archive

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