Abstract
In Chap. 6, a multirate distributed model predictive control design for large-scale nonlinear uncertain systems with fast and slowly sampled states is developed. The distributed model predictive controllers are connected through a shared communication network and cooperate in an iterative fashion at time instants in which both fast and slowly sampled measurements are available, to guarantee closed-loop stability. When only local subsystem fast sampled state information is available, the distributed controllers operate in a decentralized fashion to improve closed-loop performance. In the design of the distributed controllers, bounded measurement noise, process disturbances and communication noise are also taken into account. Using a reactor–separator process example, the stability property and performance of the multirate distributed predictive control architecture is illustrated.
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Chilin, D., Liu, J., Muñoz de la Peña, D., Christofides, P. D., & Davis, J. F. (2010). Detection, isolation and handling of actuator faults in distributed model predictive control systems. Journal of Process Control, 20, 1059–1075.
Heidarinejad, M., Liu, J., Muñoz de la Peña, D., Christofides, P. D., & Davis, J. F. (2011, submitted). Multirate Lyapunov-based distributed model predictive control of nonlinear uncertain systems. Automatica.
Lin, Y., & Sontag, E. D. (1991). A universal formula for stabilization with bounded controls. Systems & Control Letters, 16, 393–397.
Muñoz de la Peña, D., & Christofides, P. D. (2008). Lyapunov-based model predictive control of nonlinear systems subject to data losses. IEEE Transactions on Automatic Control, 53, 2076–2089.
Wächter, A., & Biegler, L. T. (2006). On the implementation of primal-dual interior point filter line search algorithm for large-scale nonlinear programming. Mathematical Programming, 106, 25–57.
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© 2011 Springer-Verlag London Limited
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Christofides, P.D., Liu, J., Muñoz de la Peña, D. (2011). Multirate Distributed Model Predictive Control. In: Networked and Distributed Predictive Control. Advances in Industrial Control. Springer, London. https://doi.org/10.1007/978-0-85729-582-8_6
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DOI: https://doi.org/10.1007/978-0-85729-582-8_6
Publisher Name: Springer, London
Print ISBN: 978-0-85729-581-1
Online ISBN: 978-0-85729-582-8
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