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An Assume-Guarantee Strategy for Distributed Model Predictive Control

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Abstract:
We consider a distributed control strategy in which each controller applies predictive control (MPC) using a predictive model of its local subsystem. The influences of other controllers are modeled as bounded disturbances in the local models. The controllers coordinate their actions by exchanging information about the bounds on the possible future values of their local state trajectories. Each controller assumes the bounds from the other controllers will be satisfied, while guaranteeing that the bounds it broadcasts will be satisfied by imposing them as constraints in its local MPC optimization. For LTI predictive models, we present an LMI approach to solving the resulting min-max semi-infinite optimization problems and show that global stability is achieved if the initial MPC problems are feasible. Simulation results for distributed control of the Tennessee-Eastman benchmark problem illustrate the approach.

http://www.ece.cmu.edu/people/faculty/krogh.shtml
Type of Seminar:
Public Seminar
Speaker:
Prof. Bruce H. Krogh
Department of Electrical and Computer Engineering / Carnegie Mellon University, Pittsburgh, PA 15213 USA
Date/Time:
Mar 25, 2003   17:15
Location:

ETH Zentrum, Gloriastrasse 35, Building ETZ, Room E6
Contact Person:

Prof. M. Morari
File Download:

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Biographical Sketch:
Bruce H. Krogh received the BS (1975) in mathematics and physics from Wheaton College, Wheaton, IL, and the MS (1979) and PhD (1982) degrees in electrical engineering from the University of Illinois, Urbana, under the direction of Professors Jose Cruz and Petar Kokotovic, respectively. He joined Carnegie Mellon University in 1983, where he is currently a professor of electrical and computer engineering. In 1990 he received the Senior U.S. Scientist Award from the Alexander von Humboldt Foundation to support a one-year visiting research appointment at the University of Dortmund, Germany. He has served on the editorial boards of the IEEE Transactions on Automatic Control, and Discrete Event Dynamic Systems: Theory and Applications, and was founding Editor-in-Chief of the IEEE Transactions on Control Systems Technology. He was Co-Chair of the 3rd International Workshop on Hybrid Systems: Computation and Control in March 2000, and General Chairman of the 2001 American Control Conference. His current research interests include synthesis and verification of embedded control software, distributed control strategies, Markov decision processes, and discrete event and hybrid dynamic systems. Dr. Krogh is a Distinguished Member of the IEEE Control Systems Society and a Fellow of the IEEE.