University of Groningen
Control of flow networks with constraints and optimality conditions Scholten, Tjeert Wobko
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Publication date: 2017
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Scholten, T. W. (2017). Control of flow networks with constraints and optimality conditions. Rijksuniversiteit Groningen.
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Stellingen
behorende bij het proefschrift
Control of flow networks with constraints and
optimality conditions
van
Tjardo Scholten
1. A district heating system with multiple producers, storage devices and con-sumers can be modeled as a flow network if the temperatures are assumed to be constant, Chapter 2.
2. An internal model based controller guarantees asymptotic convergence despite exponentially decaying parameter errors and time varying disturbances, Chapter 3.
3. Output regulation in a flow network with optimal steady state inputs can be achieved via decentralized control by means of a peer-to-peer communica-tion network, Chapter 4.
4. Second order controllers as in (5.15) and (5.16) guarantee asymptotic con-vergence to a steady state of which the corresponding input is an economic optimum. Moreover, the controllers guarantee that bounds on the inputs and flows are never exceeded, Chapter 5.
5. Pressure regulation with strictly positive inputs in hydraulic networks with a multiple pump architecture can be guaranteed by means of a PI controller with additional nonlinear mappings and a state dependent integral gain, Chapter 6.
6. When a geothermal reservoir delivers a low frequent time varying production, no adverse effects are witnessed to the geochemistry of the reservoir, Chapter 7.
