Pseudo-differential operators in parametrization of boundary-value control systems

Here we present a new approach for the design of open-loop control or motion planning for partial differential equations (PDE) and systems. It is based on pseudo-differential operator (/spl psi/DO) theory and applies directly to linear boundary-controlled PDE systems. The key idea is to parametrize...

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Bibliographic Details
Main Authors: Nihtila, M., Tervo, J., Kokkonen, P.
Format: Conference Proceeding
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control system analysis
Control systems
Control theory. Systems
Differential equations
Exact sciences and technology
Integral equations
Motion control
Open loop systems
Partial differential equations
Power system modeling
Solid modeling
Turning
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Summary:Here we present a new approach for the design of open-loop control or motion planning for partial differential equations (PDE) and systems. It is based on pseudo-differential operator (/spl psi/DO) theory and applies directly to linear boundary-controlled PDE systems. The key idea is to parametrize the system variables by some external parameters (functions) as it is the case in flatness-based design for ordinary differential equation (ODE) systems. The /spl psi/DO theory allows us to invert the PDE operators considered in the same /spl psi/DO class where the system models are. This gives a solid basis for the analysis and allows us to connect separate PDE systems like ODE models. Calculated examples illustrate these ideas.
ISSN:0191-2216
DOI:10.1109/CDC.2004.1430335