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Data-driven control and interconnection

Data-driven control and interconnection
Data-driven control and interconnection
In this thesis we study the design of controllers from data for a class of linear-time invariant dynamical systems. We formulate and study conditions under which data from a system can be used to compute a controller which meets a given performance specification. Under such conditions we develop algorithms for finding a controller. Our methods do not focus only on finding control inputs trajectories but one can also find a representation of the controller under suitable conditions. We also give necessary and sufficient conditions for determining whether a system is dissipative using data.

Finally, we study the notion of difference flatness for linear systems. We define a flat system, using trajectories, as a system whose variables admits a partition such that a subset of the variables are unconstrained, and the other remaining variables are observable from the unconstrained variables. Using this definition we give a characterization of representations of flat systems. We also study the control of flat systems using the notion of control as interconnection.
University of Southampton
Maupong, Thabiso M.
72ad3e98-f5d0-4417-9b23-89f2c5d774f3
Maupong, Thabiso M.
72ad3e98-f5d0-4417-9b23-89f2c5d774f3
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b

Maupong, Thabiso M. (2017) Data-driven control and interconnection. University of Southampton, Doctoral Thesis, 135pp.

Record type: Thesis (Doctoral)

Abstract

In this thesis we study the design of controllers from data for a class of linear-time invariant dynamical systems. We formulate and study conditions under which data from a system can be used to compute a controller which meets a given performance specification. Under such conditions we develop algorithms for finding a controller. Our methods do not focus only on finding control inputs trajectories but one can also find a representation of the controller under suitable conditions. We also give necessary and sufficient conditions for determining whether a system is dissipative using data.

Finally, we study the notion of difference flatness for linear systems. We define a flat system, using trajectories, as a system whose variables admits a partition such that a subset of the variables are unconstrained, and the other remaining variables are observable from the unconstrained variables. Using this definition we give a characterization of representations of flat systems. We also study the control of flat systems using the notion of control as interconnection.

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Published date: May 2017

Identifiers

Local EPrints ID: 416775
URI: http://eprints.soton.ac.uk/id/eprint/416775
PURE UUID: 015212a0-5252-4d69-b2a3-dff521e4ad7d

Catalogue record

Date deposited: 10 Jan 2018 17:30
Last modified: 13 Mar 2019 19:01

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Contributors

Author: Thabiso M. Maupong
Thesis advisor: Paolo Rapisarda

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