Synthesis of a Minimum-Energy Controller Subject to an Average Power Constraint
- 1 May 1963
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Applications and Industry
- Vol. 82 (66) , 70-75
- https://doi.org/10.1109/tai.1963.5407868
Abstract
The synthesis of controllers, optimum in the sense of Min∫u2(t)dt, u(t) u the control function, and Subject to the constraint T = ∫0Tu2(t)dt is given for a plant with constant coefficients and distinct characteristic roots. Several variations in the synthesis are considered if the plant has numerator dynamics. The computation involves solving a single transcendental equation for the response time T. Results for several particular plants are given, and these are fimilar to time optimal control.Keywords
This publication has 2 references indexed in Scilit:
- Determining the switching criterion for time-optimal controlJournal of Mathematical Analysis and Applications, 1962
- Time-optimal control of higher-order systemsIRE Transactions on Automatic Control, 1961