- Title
- Lyapunov-function-free backstepping design with application to the Lorenz system
- Creator
- Ricci, Daniel; Romero, Mónica; Seron, María
- Relation
- 5th IFAC Conference on Analysis and Control of Chaotic Systems (CHAOS 2018). 5th IFAC Conference on Analysis and Control of Chaotic Systems (CHAOS 2018) [presented in IFAC-PapersOnLine, Vol. 51, No. 33] (Eindhoven, Netherlands 30 October - 1 November, 2018) p. 223-228
- Publisher Link
- http://dx.doi.org/10.1016/j.ifacol.2018.12.086
- Publisher
- Elsevier
- Resource Type
- conference paper
- Date
- 2018
- Description
- In this paper we propose a new version of the backstepping control technique, named Lyapunov-Function-Free, for the stabilization of nonlinear systems expressed in strict feedback form. The main characteristic of this technique, in contrast with classic backstepping, is that it avoids the construction of a Lyapunov function at each iteration for the calculation of the controller. The result is a state feedback law that achieves uniform asymptotic stabilization of the system. Simulation tests and comparisons with other backstepping-based methods are performed to show the effectiveness of the proposed technique.
- Subject
- Lorenz system; chaos control; nonlinear systems; asymptotic stability; backstepping technique
- Identifier
- http://hdl.handle.net/1959.13/1403953
- Identifier
- uon:35241
- Identifier
- ISSN:2405-8963
- Language
- eng
- Reviewed
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