Author_Institution :
Lincoln Laboratory, Massachusetts Institute of Technology, Lexington, Mass.
Abstract :
Given the double integral plant ÿ(t)=u(t), |u(t)|¿1, the control u(t) is determined which, in the time interval [0, T], forces the state of the plant to zero, minimizes the fuel consumed, as measured by ¿0T|u(t)|dt, and results in a response time T which does not exceed a prespecified multiple of the minimum time. A design of the nonlinear controller necessary is included.