Abstract
In previous papers, zero-order solutions for time optimal control of singularly perturbed third-order systems have been obtained by the method of matched asymptotic expansions (MAE). The resulting open-loop control laws were founded to give good results, provided the singular perturbation parameter is small. In this paper, we use the MAE method to derive a second-order open-loop controller for a representative third-order system. Numerical simulations show that the second-order controller gives significantly better performance than the zero-order controller.
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© 1994 Birkhäuser Verlag Basel
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Ardema, M.D., Chou, HC. (1994). Second Order Algorithm for Time Optimal Control of a Linear System. In: Bulirsch, R., Kraft, D. (eds) Computational Optimal Control. ISNM International Series of Numerical Mathematics, vol 115. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-8497-6_10
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DOI: https://doi.org/10.1007/978-3-0348-8497-6_10
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-5015-4
Online ISBN: 978-3-0348-8497-6
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