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.

Copyright © 2007 by American Society of Mechanical Engineers
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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



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