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Stability of Equilibria in a Four-dimensional Nonlinear Model of a Hydraulic Servomechanism |
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| Authors: | A. Halanay C.A. Safta I. Ursu F. Ursu |
| Affiliation: | 1. Department of Mathematics I, University Politehnica of Bucharest, Splaiul Independen?ei 313, RO-060042, Bucharest, Romania 2. University Politehnica of Bucharest, Splaiul Independen?ei 313, RO-060042, Bucharest, Romania 3. `Elie Carafoli' National Institute for Aerospace Research, Bd. Iuliu Maniu 220, RO-061099, Bucharest, Romania |
| Abstract: | Starting from plysical laws a four-dimensional nonlinear model for mecano-hydraulic servomechanisms is deduced. The stability of its equilibria is analysed using a theorem of Lyapunov and Malkin to handle the critical case due to the presence of zero in the spectrum of the matrix of the linear part around equilibria. Stability diagrams are drawn and simulation results are presented through phase diagrams. |
| Keywords: | hydraulic servomechanism Lyapunov stability Routh– Hurwitz criterion |
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