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Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/631

Authors: LUPU, Mircea
FLOREA, Olivia Ana
LUPU, Ciprian
Keywords: nonlinear systems
automatic control system
absolute stability
optimal control
Pontreaguine principle
rolling perturbation flight
Issue Date: Oct-2014
Publisher: Transilvania University Press of Braşov
Citation: Google Scholar
Series/Report no.: II;92 - 103
Abstract: In the first part of this paper it is presented the automatic regulation methods for the absolute stability (a.r.a.s) of the nonlinear dynamical systems that have applications on the stabilization of the rolling oscillations curse for aircraft or rackets. Two methods for the absolute stability are specified: a) the A.I. Lurie method with the effective determination of the Liapunov function; b) the frequency method of the Romanian researcher V.M. Popov who has used the transfer function in the critical cases. The authors develop a new sufficient criterion for (a.r.a.s.), with efficient technique of calculus. In the second part - there are obtained the analytic - numerical solutions and the conditions for the regulator parameters for the realization of the absolute stability for the airplane autopilot route in the case of rolling oscillations. At the end authors prove practically the theorem Kalman - Yakubovich - Popov for the equivalence of these methods. (Th. K-Y-P). In the last section of the paper it is presented the optimal control for the flight system in the case of rolling oscillations. The optimization is made using the maximum principle of Pontreaguine; the authors solve the problem of minimum time. It is determined the command function and the optimal trajectory for this system
URI: http://hdl.handle.net/123456789/631
ISBN: 978 – 606 – 19 – 0411 - 2
Appears in Collections:COMAT 2014

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