Output Feedback Control and Robustness in the Gap Metric
Seiten
2009
TU Ilmenau Universitätsbibliothek (Verlag)
978-3-939473-60-2 (ISBN)
TU Ilmenau Universitätsbibliothek (Verlag)
978-3-939473-60-2 (ISBN)
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Design and robustness of output derivative feedback stabilization, lambda-tracking and funnel control for linear MIMO-systems is analysed. These control strategies require only structural assumptions of systems: relative degree and normal form, minimum phase and positive high-frequency gain. A detailed analysis of this properties is given for MIMO-systems with non-strict relative degree.
The contollers are robust in this sense: if a closed-loop system [P,C] (applying controller C to linear plant P) is stable and the gap metric between P (or C) and a plant P1 (or controller C1) is sufficiently small, then the closed-loop system [P1,C] (or [P,C1]) is again stable.
In particular: output derivative feedback may be replaced by output delay feedback (approximations of the derivatives), provided the delay is small. Lambda-tracking and funnel control may be applied to systems which are close (in terms of a small gap) to systems satisfying the above structural assumptions.
The contollers are robust in this sense: if a closed-loop system [P,C] (applying controller C to linear plant P) is stable and the gap metric between P (or C) and a plant P1 (or controller C1) is sufficiently small, then the closed-loop system [P1,C] (or [P,C1]) is again stable.
In particular: output derivative feedback may be replaced by output delay feedback (approximations of the derivatives), provided the delay is small. Lambda-tracking and funnel control may be applied to systems which are close (in terms of a small gap) to systems satisfying the above structural assumptions.
Erscheint lt. Verlag | 1.10.2009 |
---|---|
Verlagsort | Ilmenau |
Sprache | englisch |
Maße | 148 x 210 mm |
Gewicht | 350 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik |
Schlagworte | Hardcover, Softcover / Mathematik/Wahrscheinlichkeitstheorie, Stochastik, Mathem |
ISBN-10 | 3-939473-60-X / 393947360X |
ISBN-13 | 978-3-939473-60-2 / 9783939473602 |
Zustand | Neuware |
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