Design of invariant control system for longitudinal motion of flight vehicle

2011 ◽  
Vol 72 (10) ◽  
pp. 2100-2111 ◽  
Author(s):  
S. A. Krasnova ◽  
N. S. Mysik
Keyword(s):  
Control System ◽  
Longitudinal Motion ◽  
Flight Vehicle ◽  
Invariant Control

ADAPTIVE CONTROL SYSTEM FOR AIRCRAFT LONGITUDINAL MOTION

2012 ◽  
Vol 43 (5) ◽  
pp. 683-695 ◽  
Author(s):  
Yury Grigoryevich Zhivov ◽  
Alexander Mikhaylovich Poedinok
Keyword(s):  
Adaptive Control ◽  
Control System ◽  
Longitudinal Motion ◽  
Adaptive Control System

scholarly journals A Drift-Free Left Invariant Control System on the Lie Group SO(3)×R3×R3

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Camelia Pop
Keyword(s):  
Control System ◽  
Numerical Integration ◽  
Lie Algebra ◽  
Lie Group ◽  
Poisson Structure ◽  
Dual Space ◽  
Free System ◽  
Geometrical Properties ◽  
Free Left ◽  
Invariant Control

A controllable drift-free system on the Lie group G=SO(3)×R3×R3 is considered. The dynamics and geometrical properties of the corresponding reduced Hamilton’s equations on g∗,·,·- are studied, where ·,·- is the minus Lie-Poisson structure on the dual space g∗ of the Lie algebra g=so(3)×R3×R3 of G. The numerical integration of this system is also discussed.

Analytical synthesis of the pitch-invariant control of the helicopter longitudinal motion with invariance of a pitch angle

2021 ◽  
Author(s):  
Keyword(s):  
Pitch Angle ◽  
Mimo System ◽  
Pole Placement ◽  
Longitudinal Motion ◽  
System Decomposition ◽  
Linearized Model ◽  
Invariant Control ◽  
Poles Placement ◽  
Analytical Expressions ◽  
Analytical Synthesis

The control for the linearized model of the longitudinal motion fourth order for a single-rotor helicopter is analytically synthesized which ensures the invariance of the pitch angle in the presence of disturbances in the control channels, as well as the required the poles placement of the closed-loop system, given from the region of their stability. The results of the numerical synthesis control for the longitudinal motion of a single-rotor helicopter by using analytically synthesized laws of invariant control, which confirm the reliability of the analytical expressions are shown. Keywords invariance; disturbances in the control channels; MIMO-system; decomposition; pole placement; analytical synthesis; longitudinal motion of a single-rotor helicopter; poles of a dynamical system

scholarly journals An Underactuated Drift-Free Left Invariant Control System on a Specific Lie Group

2012 ◽  
Vol 2012 ◽  
pp. 1-14
Author(s):  
Camelia Pop Arieşanu
Keyword(s):  
Optimal Control ◽  
Control System ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Lie Group ◽  
Point Of View ◽  
Free Left ◽  
Invariant Control

The paper presents a geometrical overview on an optimal control problem on a special Lie group. The Hamilton-Poisson realization of the dynamics offers us the possibility to study the system from mechanical geometry point of view.

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