Linearised optimal control and application to a gliding projectile
Date
1982
Authors
Jepps, George
Editors
Advisors
Gibbard, MJ
Journal Title
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Thesis
Citation
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Abstract
The standard results of linearised optimal control theory are explored and examined to see how they can be applied to flight control systems. A feedback control system operating on the elevators of an aircraft-like gliding projectile is investigated. The projectile is required to closely follow a predetermined maximum range trajectory in the face of initial disturbances. Equations of motion are set up and linearised. Approximate solutions for the maximum range trajectory are given and approximate analytical expressions for the eigenvalues of the plant matrix are derived. After assigning weighting values to the state and control variables in the integral quadratic performance index, solutions to the Riccati matrix equation are computed and used to evaluate optimal state feedback gain vectors. The effect of this optimal feedback on glider performance is observed from computed trajectory simulations. An optimal feedback gain vector is selected subject to limitations on angle of attack, elevator deflection angle, and attitude. The question of incomplete state variable feedback is considered in the interest of simpler engineering design. Using a reduced order system representation, relationships between performance index weights and closed loop poles are established and a sub-optimal system based on feedback of only one state variable is investigated.
School/Discipline
Dept. of Electrical Engineering
Dissertation Note
Thesis (MESc) -- University of Adelaide, Dept. of Electrical Engineering, 1983
Provenance
This electronic version is made publicly available by the University of Adelaide in accordance with its open access policy for student theses. Copyright in this thesis remains with the author. This thesis may incorporate third party material which has been used by the author pursuant to Fair Dealing exceptions. If you are the owner of any included third party copyright material you wish to be removed from this electronic version, please complete the take down form located at: http://www.adelaide.edu.au/legals