Analytical Synthesis of Control Actions for Aircraft Longitudinal Motion
| Authors: Zubov N.E., Mikrin E.A., Ryabchenko V.N., Efanov D.E. | Published: 14.04.2015 |
| Published in issue: #2(101)/2015 | |
| DOI: 10.18698/0236-3933-2015-2-3-14 | |
| Category: Aviation, Rocket and Space Engineering | Chapter: Dynamics, Ballistics, Flying Vehicle Motion Control | |
| Keywords: decomposition, modal synthesis, MIMO-system, longitudinal motion of aircrafts, dynamic system poles | |
Analytical expressions of control actions are obtained for a fourth-order linearized model of the flying vehicle longitudinal motion. Synthesis is based on original decomposition of the control object as well as on the previously elaborated method of modal control by MIMO-system. The method does not require solving special matrix equations (such as Silvester equation), takes the same form for continuous and discrete cases of the system model assignment, has no restrictions on algebraic and geometric multiplicity of the assigned poles, is easily realized in the MATLAB environment. Numerical simulation results are given to control the aircraft longitudinal motion by applying analytically synthesized control laws represented by the graphs of transient processes and controlling actions.
References
[1] Zubov N.E., Mikrin E.A., Misriknanov M.Sh., Ryabchenko V.N. Synthesis of decoupling laws for attitude stabilization of a spacecraft. J. Computer and Systems Sciences International, 2012, vol. 51, pp. 80-96.
[2] Zubov N.E., Mikrin E.A., Misriknanov M.Sh., Ryabchenko V.N. Modification the Exact Pole Placement Method and Its Application for the Control of Spacecraft Motion. J. of Computer and Systems Sciences International, 2013, vol. 52, pp. 279-292.
[3] Misrikhanov M.Sh., Ryabchenko V.N. Pole placement for controlling a large scale power system. Automation and Remote Control, 2011, vol. 72:10, pp. 2123-2146.
[4] Zubov N.E., Vorob’eva E.A., Mikrin E.A., Misrikhanov M.Sh., Ryabchenko V.N., Timakov S.N. Synthesis of Stabilizing Spacecraft Control Based on Generalized Ackermann’s Formula. J. Computer and Systems Sciences Internationa, 2011, vol. 50, pp. 93-103.
[5] Zubov N.E., Mikrin E.A., Misriknanov M.Sh., Ryabchenko V.N. Band formulas for analysis and synthesis of controlled dynamic mimo-systems. Vestn. Mosk. Gos.Tekh. Univ. im. N.E. Baumana, Piborostr. [Herald of the Bauman Moscow State Tech. Univ., Instrum. Eng.], 2014, no. 3, pp. 3-15 (in Russ.).
[6] Zubov N.E., Mikrin E.A., Misriknanov M.Sh., Ryabchenko V.N. Synthesis of Controls for a Spacecraft That Optimize the Pole Placement of the Closed Loop Control System. J. Computer and Systems Sciences International, 2012, vol. 51, pp. 431-444.
