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Erschienen in:
1991 | OriginalPaper | Buchkapitel
Initial Condition Perturbation, Overshoot and Robustness
verfasst von : Univ.-Prof. Dr. Alexander Weinmann
Erschienen in: Uncertain Models and Robust Control
Verlag: Springer Vienna
Enthalten in: Professional Book Archive
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Overshoot and speed requirements of a control system are important performance objectives. There is a strong need for balancing stability robustness versus the performance. This short chapter is devoted to optimizing stability robustness and performance as cited above. The Overshoot behaviour of a closed-loop system is defined as the maximum value of the spectral norm of its transition matrix Φcl (t) weighted by some weighting matrices W1, W219.1$${M_{\max }} = \mathop {\max }\limits_t {\left\| {{{\rm{W}}_1}{\Phi _{cl}}(t){{\rm{W}}_2}} \right\|_s}{\rm{ where }}{\Phi _{cl}}(t) = {e^{{\rm{F}}t}}$$