Title data
Grüne, Lars ; Guglielmi, Roberto:
Turnpike properties and strict dissipativity for discrete time linear quadratic optimal control problems.
In: SIAM Journal on Control and Optimization.
Vol. 56
(2018)
Issue 2
.
- pp. 1282-1302.
ISSN 1095-7138
DOI: https://doi.org/10.1137/17M112350X
This is the latest version of this item.
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Project information
Project title: |
Project's official title Project's id DFG-Project "Performance Analysis for Distributed and Multiobjective Model Predictive Control" GR 1569/13-1 |
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Project financing: |
Deutsche Forschungsgemeinschaft |
Abstract in another language
We investigate turnpike behaviour of discrete time optimal control problems with linear dynamics and linear-quadratic cost functions including state and control constraints. We give necessary and sufficient conditions in terms of spectral criteria and matrix inequalities. As important tools we use the concepts of strict dissipativity and a new property called strict pre-dissipativity of a system at an equilibrium point and link these properties to the turnpike behaviour of the optimal control problem. Moreover, we give further conditions to ensure that the turnpike behavior is of exponential type, i.e., the optimal trajectories are exponentially close to a steady-state of the system for all but finitely many time instants whose number is bounded independently of the optimization horizon.
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Turnpike properties and strict dissipativity for discrete time linear quadratic optimal control problems. (deposited 01 Apr 2017 21:00)
- Turnpike properties and strict dissipativity for discrete time linear quadratic optimal control problems. (deposited 12 Apr 2018 08:51) [Currently Displayed]