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Nested and Simultaneous Solution Strategies for General Combined Plant and Control Design Problems

[+] Author and Article Information
Daniel R. Herber

University of Illinois at Urbana-Champaign Industrial & Enterprise Systems Engineering Urbana, IL 61801
herber1@illinois.edu

James T. Allison

University of Illinois at Urbana-Champaign Industrial & Enterprise Systems Engineering Urbana, IL 61801
jtalliso@illinois.edu

1Corresponding author.

ASME doi:10.1115/1.4040705 History: Received January 23, 2018; Revised June 24, 2018

Abstract

In this article, general combined plant and control design or co-design problems are examined. Previous work in co-design theory imposed restrictions on the type of problems that could be posed. This article lifts many of those restrictions. The problem formulations and optimality conditions for both the simultaneous and nested solution strategies are given. Due to a number of challenges associated with the optimality conditions, practical solution considerations are discussed with a focus on the motivating reasons for using direct transcription in co-design. This article highlights some of the key concepts in general co-design including general coupling, the differences between the feasible regions for each strategy, general boundary conditions, inequality path constraints, system-level objectives, and the complexity of the closed-form solutions. Three co-design test problems are provided. A number of research directions are proposed to further co-design theory including tailored solution methods for reducing total computational expense, better comparisons between the two solution strategies, and more realistic test problems.

Copyright (c) 2018 by ASME
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