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A Nonlinear Application of a Lyapunov Technique for Assuring Global Performance Bounds
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
1994 (English)In: Proceedings of the 1994 American Control Conference, 1994, Vol. 3, 954-958 vol.1 p.Conference paper (Refereed)
Abstract [en]

In this paper we consider the stability and performance problem of nonlinear systems using a Lyapunov technique. The upper or lower bounds can be provided assuming that a Lyapunov function satisfies a Hamiltonian inequality for all admissible states. Also, suboptimal control laws with guaranteed performance bounds can be derived with this technique. The technique has been applied on rate and attitude control for sounding rockets. As an example, a rate control algorithm is elaborated showing the main ideas presented in this paper: (1) the Lyapunov function provides a global performance bound; (2) a control law is derived based on the Lyapunov function; and (3) the candidate Lyapunov function is parametrized and improved bounds are obtained using parameter optimization.

Place, publisher, year, edition, pages
1994. Vol. 3, 954-958 vol.1 p.
Keyword [en]
Lyapunov functions, Nonlinear systems, Synthesis
National Category
Control Engineering
URN: urn:nbn:se:liu:diva-94040DOI: 10.1109/ACC.1994.751885ISBN: 0-7803-1783-1OAI: diva2:630056
1994 American Control Conference, San Diego, CA, USA, June-July, 1994
Available from: 2013-06-18 Created: 2013-06-16 Last updated: 2013-06-18

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Helmersson, Anders
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Automatic ControlThe Institute of Technology
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