Hostname: page-component-848d4c4894-ndmmz Total loading time: 0 Render date: 2024-05-21T22:35:05.454Z Has data issue: false hasContentIssue false

Synthesis of an Aircraft Roll-Stabilisation System: An Application of Inverse Optimal Control Theory

Published online by Cambridge University Press:  04 July 2016

B. Porter
Affiliation:
Department of Mechanical Engineering, University of Salford
M. A. Woodhead
Affiliation:
Department of Mechanical Engineering, University of Salford

Extract

During the past decade, the theory of optimal control associated with linear multivariable systems having state and output equations of the respective forms

and

has been applied extensively to the design of controllers for a variety of aerospace systems. Such applications of this theory have been mainly concerned with the design of controllers that generate optimal control vectors, ẑ, which minimise performance indices of the form.

where Q and R are positive-definite matrices.

Type
Technical notes
Copyright
Copyright © Royal Aeronautical Society 1970 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Kalman, R. E., Englar, T. S. and Bucy, R. S. Fundamental Study of Adaptive Control Systems. Tech Report ASD-TR-61-27, Wright-Patterson Air Force Base, 1962.Google Scholar
2. Rynaski, E. G., Reynolds, P. A. and Shed, W. H. Design of Linear Flight Control Systems Using Optimal Control Theory. Technical Documentary Report ASD-TDR-63- 376, Wright-Patterson Air Force Base, 1964.Google Scholar
3. Kalman, R. E. When Is a Linear Control System Optimal? Trans ASME, Vol 86D, p 51, 1964.Google Scholar
4. Bellman, R. and Kalaba, R. An Inverse Problem in Dynamic Programming and Automatic Control. J Math Analysis and Applications, Vol 7, p 32, 1963.Google Scholar
5. Das, P. The Direct and Inverse Optimization Problems for Quadratic Functionals in Linear Autonomous and Controllable Systems. Avtomatika i Telemekhanika, Vol 27 , p 11 , 1966.Google Scholar
6. Suga, I. Some Inverse Problems in Optimal Control (in Japanese). J Soc of Instrument and Control Engineers, Vol 6, p 549, 1967.Google Scholar
7. Chen, R. T. N. and Shen, D. W. C. Sensitivity Analysis and Design of Multi-Variable Regulators Using a Quadratic Performance Criterion. JACC Preprints, p 229, 1968.Google Scholar
8. Crossley, T. R. and Porter, B. Synthesis of Aircraft Modal Control Systems. Aeronautical Journal, Vol 72, p 697, 1968.Google Scholar
9. Greensite, A. L. Analysis and Design of Space Vehicle Flight Control Systems: Optimisation Methods. NASA Report CR-828, 1967.Google Scholar
10. Potter, J. E. Matrix Quadratic Solutions. J SI AM Appl Math, Vol 14, p 496, 1966.Google Scholar