Minimum-Fuel Feedback Control Systems: Second-Order Case
- 1 March 1963
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Applications and Industry
- Vol. 82 (65) , 8-17
- https://doi.org/10.1109/tai.1963.5407855
Abstract
The control u(t), |u(t)| ≤1, is determined for the control of a linear plant G(s) from an initial state to a terminal state such that the fuel F = ∫otf |u(t)|dt is minimum. The maximum principle is used to prove that the optimal u(t) is necessarily piecewise constant and that u(t) = + 1, 0, or -1. The optimal feedback control function is derived for the plants G(s) = 1/s2 and G(s)= 1/(s+1)(s+2) using the concept of the iso-fuel curves. The phase plane is divided into three regions of operation such that to each region corresponds a value for the control u(t).Keywords
This publication has 1 reference indexed in Scilit:
- The Optimal Control of Some Attitude Control Systems for Different Performance CriteriaJournal of Basic Engineering, 1963