On a Class of Constrained Control, Linear Regulator Problems
- 1 June 1966
- journal article
- Published by ASME International in Journal of Basic Engineering
- Vol. 88 (2) , 385-391
- https://doi.org/10.1115/1.3645865
Abstract
An optimum control problem which can be solved completely is the linear, time-invariant free-terminal-time, regulator problem with unrestricted control function and a quadratic-type performance index. However, if the control function is constrained, the solution of the regulator problem becomes complicated. In the present work, when the control function |u(t)| ≤ 1, the requirements of the existence of an optimal solution and a method for obtaining this solution are outlined.Keywords
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