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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Predictive Control Using Semi-Definite Programming -- Efficient Approaches for Periodic Systems and Lur'e Systems

Predictive Control Using Semi-Definite Programming -- Efficient Approaches for Periodic Systems and Lur'e Systems

Böhm, Christoph

Paperback

Technology & EngineeringGeneral Construction & RenovationGeneral Mathematics

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ISBN10: 3832528768
ISBN13: 9783832528768
Publisher: Logos Verlag Berlin
Published: Jun 30 2011
Pages: 164
Weight: 0.75
Height: 0.40 Width: 6.55 Depth: 9.46
Language: English
One of the main challenges in nonlinear model predictive control (NMPC) is the
formulation of the associated optimisation problems in a computationally efficient
way. In this context, the thesis at hand discusses the usefulness of semi-definite
programs (SDPs), which represent a specific type of convex optimisation problems
that can be solved efficiently using standard numerical solvers. In particular, the
thesis presents several computationally attractive NMPC approaches both for the
class of periodically time-varying systems and the class of sector-bounded Lur'e
systems. Exploiting the structural properties of those system classes allows to
derive SDPs which are used to calculate design parameters of the proposed NMPC
schemes and/or to formulate computationally attractive online optimisation problems.
The NMPC approaches derived are shown to guarantee closed-loop stability and their
application to control both the attitude of a low Earth orbit satellite as well as a
flexible link robotic arm demonstrates their practical relevance.

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