0
TECHNICAL BRIEFS

New Results in Quasi-Optimum Control

[+] Author and Article Information
Bernard Friedland

Department of Electrical and Computer Engineering, New Jersey Institute of Technology, Newark, NJ 07102bf@njit.edu

J. Dyn. Sys., Meas., Control 129(1), 96-99 (May 23, 2006) (4 pages) doi:10.1115/1.2397158 History: Received September 11, 2005; Revised May 23, 2006

A technique of quasi-optimum control, developed by the author in 1966, has as its goal to permit one to use the apparatus of optimum control theory without having to solve the two-point boundary value problem for the actual problem. This is achieved by assuming the actual problem is “near” a simplified problem the solution of which was known. In this case, the control law adds a linear correction to the costate of the simplified problem. The linear correction is obtained as the solution of a matrix Riccati equation. After a review of the theory, several new applications of the technique are provided. These include mildly nonlinear processes, processes with bounded-control, and processes with state-variable constraints.

FIGURES IN THIS ARTICLE
<>
Copyright © 2007 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Schematic representation of quasi-optimum control

Grahic Jump Location
Figure 2

Comparison of performance of quasi-optimum control (solid line) with linear control (broken line)

Grahic Jump Location
Figure 3

Comparison of performance of quasi-optimum control law (solid line) with that of saturating linear control law (broken line)

Grahic Jump Location
Figure 4

Performance of quasi-optimum control for state-variable constraint

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In