Details
| Original language | English |
|---|---|
| Pages (from-to) | 2170-2182 |
| Number of pages | 13 |
| Journal | IEEE Transactions on Automatic Control |
| Volume | 68 |
| Issue number | 4 |
| Publication status | Published - 6 May 2022 |
Abstract
We consider dissipativity properties of interconnected systems in the context of distributed economic model predictive control (MPC), with the subsystems being interconnected through their stage cost functions. The isolated subsystems, i.e., when neglecting the coupled portion of the individual stage costs, are assumed to be dissipative with respect to a specific supply rate related to their local stage cost function, which is commonly used in an economic MPC context. Based on these local dissipativity properties and the interconnection structure, a corresponding (approximate) dissipativity property for the overall system is inferred, which is structured and provides performance bounds for overall system operation. The resulting structured dissipativity property is exploited in the design and analysis of a distributed economic MPC algorithm. Numerical examples visualize the theoretical findings and the effectiveness of the proposed algorithm.
Keywords
- Cost function, Costs, Couplings, dissipativity, distributed control, Economic model predictive control, largescale systems, multi-agent systems, Nonlinear dynamical systems, Predictive control, Steady-state, Symmetric matrices, Dissipativity, economic model predictive control, large-scale systems, multiagent systems
ASJC Scopus subject areas
- Engineering(all)
- Electrical and Electronic Engineering
- Engineering(all)
- Control and Systems Engineering
- Computer Science(all)
- Computer Science Applications
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In: IEEE Transactions on Automatic Control, Vol. 68, No. 4, 06.05.2022, p. 2170-2182.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Approximate dissipativity of cost-interconnected systems in distributed economic MPC
AU - Kohler, Philipp N.
AU - Muller, Matthias A.
AU - Allgower, Frank
N1 - Funding information: The authors thankfully acknowledge funding by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under grants AL 316/11-2 - 244600449 and under Germany’s Excellence Strategy - EXC 2075 - 390740016.
PY - 2022/5/6
Y1 - 2022/5/6
N2 - We consider dissipativity properties of interconnected systems in the context of distributed economic model predictive control (MPC), with the subsystems being interconnected through their stage cost functions. The isolated subsystems, i.e., when neglecting the coupled portion of the individual stage costs, are assumed to be dissipative with respect to a specific supply rate related to their local stage cost function, which is commonly used in an economic MPC context. Based on these local dissipativity properties and the interconnection structure, a corresponding (approximate) dissipativity property for the overall system is inferred, which is structured and provides performance bounds for overall system operation. The resulting structured dissipativity property is exploited in the design and analysis of a distributed economic MPC algorithm. Numerical examples visualize the theoretical findings and the effectiveness of the proposed algorithm.
AB - We consider dissipativity properties of interconnected systems in the context of distributed economic model predictive control (MPC), with the subsystems being interconnected through their stage cost functions. The isolated subsystems, i.e., when neglecting the coupled portion of the individual stage costs, are assumed to be dissipative with respect to a specific supply rate related to their local stage cost function, which is commonly used in an economic MPC context. Based on these local dissipativity properties and the interconnection structure, a corresponding (approximate) dissipativity property for the overall system is inferred, which is structured and provides performance bounds for overall system operation. The resulting structured dissipativity property is exploited in the design and analysis of a distributed economic MPC algorithm. Numerical examples visualize the theoretical findings and the effectiveness of the proposed algorithm.
KW - Cost function
KW - Costs
KW - Couplings
KW - dissipativity
KW - distributed control
KW - Economic model predictive control
KW - largescale systems
KW - multi-agent systems
KW - Nonlinear dynamical systems
KW - Predictive control
KW - Steady-state
KW - Symmetric matrices
KW - Dissipativity
KW - economic model predictive control
KW - large-scale systems
KW - multiagent systems
UR - http://www.scopus.com/inward/record.url?scp=85132518704&partnerID=8YFLogxK
U2 - 10.1109/TAC.2022.3173028
DO - 10.1109/TAC.2022.3173028
M3 - Article
AN - SCOPUS:85132518704
VL - 68
SP - 2170
EP - 2182
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
SN - 0018-9286
IS - 4
ER -