Thursday, February 25, 2016  |  2:00 PM CST

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Abstract

Motivated by the needs of advanced manufacturing systems, this presentation describes real-time optimal control design algorithms for dynamical systems that have (1) high to infinite state dimension, (2) parameter uncertainties that can be deterministic or probabilistic, (3) time delays, (4) unstable zero dynamics, (5) actuator, state, and output constraints, (6) stochastic noise and disturbances, and (7) phenomena described by combinations of algebraic, ordinary differential, partial differential, and integral equations (that is, generalizations of descriptor/singular systems). Robust model predictive control (RMPC) formulations are presented that have the flexibility to handle linear dynamical systems with these characteristics, while employing projections and shifting of the most expensive calculations offline so that the online computational cost is low. Implementation to a detailed mechanistic model of an advanced pharmaceutical manufacturing plant demonstrates an order-of-magnitude improved robustness of the product quality to model uncertainties while having an online optimization cost of less than 1 second. Some extensions to nonlinear dynamical systems are discussed.

Biography

Richard D. Braatz is the Edwin R. Gilliland Professor at the Massachusetts Institute of Technology (MIT) where he does research in optimal control theory and its application to advanced manufacturing systems. He received an MS and PhD from the California Institute of Technology and was the Millennium Chair and Professor at the University of Illinois at Urbana-Champaign and a Visiting Scholar at Harvard University before moving to MIT.

Dr. Braatz has consulted or collaborated with more than 20 companies including IBM and United Technologies Corporation, served as the Editor-in-Chief of IEEE Control Systems Magazine from 2012 to 2014, and serves on the Executive Committee of the American Automatic Control Council. Honors include the AACC Donald P. Eckman Award, the Antonio Ruberti Young Researcher Prize, the IEEE CSS Transition to Practice Award, IEEE CSS Distinguished Lecturer, and Fellow of IEEE and IFAC.