Minimum-Fuel Control of Second-Order Systems with Real Poles
- 1 May 1964
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Applications and Industry
- Vol. 83 (72), 148-153
- https://doi.org/10.1109/tai.1964.5407782
Abstract
The controlled system has the transfer function G(s)=K/(s-λ1)(s-λ2). The control input is u(t), |u(t)|≤1, and the out put is y1(t). the control which forces any initial state y1(0), ẏ1(0) to the terminal state y1(T), ẏ1,(T), such that -K/Λ1Λ2≤y1(T)≤K/λ1λ2, ẏ1(T)=0, and which minimizes the fuel, F(T)=∫0T |u(t)|dt is determined. The phase plane is divided into three sets G-, G+, and G0; if the state is in G- then u(t)=-1 is used; if the state is in G+, then u(t)=+1 is used; if the state is in G0, then u(t)=0 is used.Keywords
This publication has 3 references indexed in Scilit:
- Minimum-Fuel Feedback Control Systems: Second-Order CaseIEEE Transactions on Applications and Industry, 1963
- Optimal control for linear time-invariant plants with time, fuel, and energy constraintsTransactions of the American Institute of Electrical Engineers, Part II: Applications and Industry, 1963
- Time optimal control systems with position and integral limitsJournal of Mathematical Analysis and Applications, 1961