Location

Toomey Hall, Room 140

Presentation Date

April 22, 2023, 12:00pm - 1:10pm

Session

Session 6e

Description

Control theory is a branch of mathematics focused on observing or controlling a process governed by a dynamic equation. We use state-space notation to represent all meaningful information about of our process. This means our processes are expressed in vector form. Typically, the state matrix is square. In this project, we consider a control system where the corresponding state is over-determined, meaning there are more rows than columns. In addition, our state equation is on a time scale T, which allows us to consider discrete, continuous, or hybrid measurements. Here, we offer two methods to solve the dynamic system. Finally, we offer numerical results to a corresponding electrical power system.

Meeting Name

32nd Annual Spring Meeting of the NASA-Mo Space Grant Consortium

Document Type

Presentation

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2023 The Authors, all rights reserved.

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Apr 22nd, 12:00 PM Apr 22nd, 1:10 PM

Overdetermined control systems on time scales

Toomey Hall, Room 140

Control theory is a branch of mathematics focused on observing or controlling a process governed by a dynamic equation. We use state-space notation to represent all meaningful information about of our process. This means our processes are expressed in vector form. Typically, the state matrix is square. In this project, we consider a control system where the corresponding state is over-determined, meaning there are more rows than columns. In addition, our state equation is on a time scale T, which allows us to consider discrete, continuous, or hybrid measurements. Here, we offer two methods to solve the dynamic system. Finally, we offer numerical results to a corresponding electrical power system.