Solutions to Point-to-Point Control Problems Using Laplace Transform Technique

[+] Author and Article Information
S. P. Bhat, D. K. Miu

School of Engineering and Applied Science, University of California at Los Angeles, Los Angeles, CA 90024

J. Dyn. Sys., Meas., Control 113(3), 425-431 (Sep 01, 1991) (7 pages) doi:10.1115/1.2896427 History: Received October 11, 1989; Revised October 01, 1990; Online March 17, 2008


Using finite-time Laplace transform, the governing differential equations of linear, time invariant point-to-point control problems are converted into an equivalent set of linear algebraic equations embedded with the desired boundary conditions, characterizing the entire set of optimal and sub-optimal solutions. A linear programming technique for synthesizing the control inputs using selected sets of basis functions is presented. A new concept of feedback control which involves a recursive evaluation of the open-loop input is also developed.

Copyright © 1991 by The American Society of Mechanical Engineers
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