Covariance-based hardware selection-part III: Distributed parameter systems

• Published in: AIChE journal Vol. 58; no. 9; pp. 2705 - 2713
• Main Authors: Ahmed, Syed K., Peng, Jui-Kun, Chmielewski, Donald J.
• Format: Journal Article
• Language: English
• Published: Hoboken Wiley Subscription Services, Inc., A Wiley Company 01.09.2012; Wiley; American Institute of Chemical Engineers
• Subjects: actuator selection; Actuators; Applications of mathematics to chemical engineering. Modeling. Simulation. Optimization; Applied sciences; Capital costs; Chemical engineering; Control systems; Cost reduction; Equipment acquisition planning; Exact sciences and technology; linear matrix inequalities; mixed integer convex programming; optimization; process control; Reactors; sensor selection; Systems design; Closed loop; actuator selection; Tubular reactor; sensor selection; Process control; Control system; Convex programming; Optimization; Design; Covariance; linear matrix inequalities; Open loop; mixed integer convex programming; Distributed parameter system; Mathematical programming; Actuator; Capital cost
• ISSN: 0001-1541; 1547-5905
• DOI: 10.1002/aic.12782

In this article, we propose a new method for the selection of control system hardware (sensors and actuators) for distributed parameter systems. The proposed design scheme seeks to minimize the capital cost of hardware while satisfying predefined performance constraints. Within this minimum capital cost framework, three design scenarios will be discussed; the closed‐loop full state information actuator selection problem, the open‐loop partial state information sensor selection problem, and the closed‐loop partial state information simultaneous sensor and actuator selection problem. The proposed method will be illustrated through application to a nonisothermal tubular reactor example. © 2011 American Institute of Chemical Engineers AIChE J, 2012