Robust Structured Control Design via LMI Optimization

Fabiano Daher Adegas, Jakob Stoustrup

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Resumé

This paper presents a new procedure for discrete-time robust structured control design. Parameter-dependent nonconvex conditions for stabilizable and induced L2-norm performance controllers are solved by an iterative linear matrix inequalities (LMI) optimization.

A wide class of controller structures including decentralized of any order, fixed-order dynamic output feedback, static output feedback can be designed robust to polytopic uncertainties.

Stability is proven by a parameter-dependent Lyapunov function. Numerical examples on robust stability margins shows that the proposed procedure can obtain less conservative results than traditional stability criteria.
OriginalsprogEngelsk
BogserieProceedings of the 18th IFAC World Congress, 2011
ISSN1474-6670
StatusUdgivet - 2011

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Linear matrix inequalities
Feedback
Controllers
Stability criteria
Lyapunov functions
Uncertainty
Robust stability

Citer dette

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abstract = "This paper presents a new procedure for discrete-time robust structured control design. Parameter-dependent nonconvex conditions for stabilizable and induced L2-norm performance controllers are solved by an iterative linear matrix inequalities (LMI) optimization.A wide class of controller structures including decentralized of any order, fixed-order dynamic output feedback, static output feedback can be designed robust to polytopic uncertainties.Stability is proven by a parameter-dependent Lyapunov function. Numerical examples on robust stability margins shows that the proposed procedure can obtain less conservative results than traditional stability criteria.",
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Robust Structured Control Design via LMI Optimization. / Adegas, Fabiano Daher; Stoustrup, Jakob.

I: Proceedings of the 18th IFAC World Congress, 2011, 2011.

Publikation: Bidrag til tidsskriftKonferenceartikel i tidsskriftForskningpeer review

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AB - This paper presents a new procedure for discrete-time robust structured control design. Parameter-dependent nonconvex conditions for stabilizable and induced L2-norm performance controllers are solved by an iterative linear matrix inequalities (LMI) optimization.A wide class of controller structures including decentralized of any order, fixed-order dynamic output feedback, static output feedback can be designed robust to polytopic uncertainties.Stability is proven by a parameter-dependent Lyapunov function. Numerical examples on robust stability margins shows that the proposed procedure can obtain less conservative results than traditional stability criteria.

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