Optimal Control of Self-Adjoint Systems
- 1 May 1964
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Applications and Industry
- Vol. 83 (72) , 161-166
- https://doi.org/10.1109/tai.1964.5407784
Abstract
Given the system ẋ(t)=A(t)x(t)+u(t),where A(t)=-A'(t) and ||u(t)||≤1, it will be shown that the control u=-x(t)/||x(t)|| drives any initial state to zero in such a manner that the response time, the consumed fuel, and a linear combination of time and control energy are minnimized. The theory is applied to the optimum angular velocity cotrol of a tumbling space body.Keywords
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