Robust periodic economic MPC for linear systems
Economic Model Predictive Control differs from conventional tracking model predictive control by directly addressing a plants economic cost as the stage cost, consequently leading to better economic performance. This paper extends current economic model predictive control theory to linear time-invar...
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| Published in | Automatica (Oxford) Vol. 60; pp. 30 - 37 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.10.2015
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| Subjects | |
| Online Access | Get full text |
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| Abstract | Economic Model Predictive Control differs from conventional tracking model predictive control by directly addressing a plants economic cost as the stage cost, consequently leading to better economic performance. This paper extends current economic model predictive control theory to linear time-invariant systems with periodic disturbances and cost functions, under mild assumptions. To ensure an increased region of attraction and to continuously guarantee feasibility of the controller despite changing economic conditions, a periodic terminal condition is used in place of terminal constraints. The approach draws on constraint tightening techniques in order to guarantee robust satisfaction of constraints as well as convergence of the controller. A Lyapunov based approach is used to show stability of the proposed controller and characterise a region about the optimal trajectory to which the system converges. |
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| AbstractList | Economic Model Predictive Control differs from conventional tracking model predictive control by directly addressing a plants economic cost as the stage cost, consequently leading to better economic performance. This paper extends current economic model predictive control theory to linear time-invariant systems with periodic disturbances and cost functions, under mild assumptions. To ensure an increased region of attraction and to continuously guarantee feasibility of the controller despite changing economic conditions, a periodic terminal condition is used in place of terminal constraints. The approach draws on constraint tightening techniques in order to guarantee robust satisfaction of constraints as well as convergence of the controller. A Lyapunov based approach is used to show stability of the proposed controller and characterise a region about the optimal trajectory to which the system converges. |
| Author | Hield, Peter Shekhar, Rohan C. Manzie, Chris Broomhead, Timothy J. |
| Author_xml | – sequence: 1 givenname: Timothy J. surname: Broomhead fullname: Broomhead, Timothy J. email: t.broomhead@student.unimelb.edu.au organization: Department of Mechanical Engineering, The University of Melbourne, Australia – sequence: 2 givenname: Chris surname: Manzie fullname: Manzie, Chris email: manziec@unimelb.edu.au organization: Department of Mechanical Engineering, The University of Melbourne, Australia – sequence: 3 givenname: Rohan C. surname: Shekhar fullname: Shekhar, Rohan C. email: rshekhar@unimelb.edu.au organization: Department of Mechanical Engineering, The University of Melbourne, Australia – sequence: 4 givenname: Peter surname: Hield fullname: Hield, Peter email: Peter.Hield@dsto.defence.gov.au organization: Defence Science and Technology Organisation, Melbourne, Australia |
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| Cites_doi | 10.1016/j.arcontrol.2011.10.011 10.1109/TAC.2011.2179349 10.1109/CDC.2012.6426754 10.1016/S0967-0661(02)00186-7 10.1109/TAC.2010.2101291 10.1016/S0005-1098(99)00214-9 10.1016/j.jprocont.2011.10.010 10.1016/j.automatica.2013.05.019 10.1016/j.automatica.2008.01.023 10.1016/S0005-1098(01)00051-6 10.1109/CDC.2012.6425822 10.1016/S0005-1098(96)00214-2 10.1016/j.jprocont.2014.06.006 10.1016/j.ejcon.2013.05.019 10.1016/j.automatica.2012.12.003 10.1109/CDC.2014.7039772 10.3182/20100826-3-TR-4016.00014 10.1016/j.automatica.2009.04.007 10.1109/TAC.2014.2326013 |
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| Keywords | Economic Model Predictive Control Lyapunov stability Constraint tightening Robustness Periodic motion |
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