Insensitivity of Optimal Linear Control Systems to Persistent Changes in Parameters†
- 1 August 1966
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 4 (2) , 179-184
- https://doi.org/10.1080/00207176608921419
Abstract
Previous work on the sensitivity of optimal linear control systems [xdot] = Ax + Bu with quadratic performance index has concentrated on the effects of small changes in parameters. It is shown in this paper that the optimal feedback law u = − Dx is insensitive to (i.e. is unaltered by) a wide variety of persistent changes in A and B. Some explicit expressions for these variations in A and B are presented, including the cases when B is fixed, and when the change in A is known. If A is fixed any change in B results in a change in D, so that the system is more sensitive to changes in B than in A.Keywords
This publication has 5 references indexed in Scilit:
- Sensitivity of Optimal Linear Systems to Small Variations in Parameters†International Journal of Control, 1966
- Stability analysis of constant linear systems by Lyapunov's second methodElectronics Letters, 1966
- ON NECESSARY AND SUFFICIENT CONDITIONS OF PARAMETRIC INVARIANCEPublished by Elsevier ,1966
- Compensation of plant variations in optimal control systemsIEEE Transactions on Automatic Control, 1965
- Sensitivity of the Performance of Optimal Linear Control Systems to Parameter Variations†International Journal of Control, 1965