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Parametric Multi-Objective Optimization for Simultaneous and Nested Control Co-Design Formulations With Tube-Based Model Predictive Controllers

delete2026-01-01
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PRE
AI
Y
Ying-Kuan Tsai
R
Richard Malak *
DOI:10.1115/1.4071654delete
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Abstract

Abstract

En 中文
Control co-design (CCD) aims to jointly optimize physical systems and controllers to achieve superior system-level performance compared to traditional sequential design. However, practical challenges, such as handling uncertainty, ensuring stability and feasibility, and enabling design exploration of multiple criteria over varying requirements, limit its application. This article introduces a parametric multi-objective optimization framework for CCD problems based on tube-based model predictive control, which improves closed-loop performance while maintaining constraint satisfaction under stochastic disturbances through constraint tightening. By integrating parametric optimization, the proposed approach captures how optimal designs vary with respect to parameters (e.g., control limits), allowing efficient tradeoff analysis and decision-making without re-solving optimization problems. Simultaneous and nested CCD formulations are developed and demonstrated on a numerical example and an active suspension system. The CCD solutions dominate most of the designs solved by control-only and sequential strategies. In addition, quantitative results, evaluated by the parametric hypervolume indicator, show that the CCD approach yields higher-performing and more robust solutions than other strategies.
Keywords:
control co-design
parametric optimization
multi-objective optimization
model predictive control
uncertain systems
design optimization
multidisciplinary design and optimization

Journal

J
Journal of Mechanical Design
IF:
3
Papers:
263
Citations:
8.9K

Organization

T
Texas A&M University System
Scholars:
4.4W
Papers: 4.0W
Citations: 4.0K
N
Northwestern University
Scholars:
6.1W
Papers: 5.3W
Citations: 3.9K