Peak-to-Peak Gain Minimization for Uncertain Linear Discrete Systems: A Matrix Inequality Approach
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摘要: A matrix inequality approach to peak-to-peak gain minimization for a class of uncertain linear discrete systems is studied. We minimize the ﹡-norm, which is the best upper bound on the induced L∞ norm obtained by bounding the reachable set with inescapable ellipsoids, instead of minimizing the induced L∞ norm directly. Based on this idea, the problems of robust peak-to-peak gain minimization and controller synthesis are reduced to solving the feasibility problems of a set of matrix inequalities. A numerical example is used to demonstrate the feasibility and effectiveness of the presented method.Abstract: A matrix inequality approach to peak-to-peak gain minimization for a class of uncertain linear discrete systems is studied. We minimize the ﹡-norm, which is the best upper bound on the induced L∞ norm obtained by bounding the reachable set with inescapable ellipsoids, instead of minimizing the induced L∞ norm directly. Based on this idea, the problems of robust peak-to-peak gain minimization and controller synthesis are reduced to solving the feasibility problems of a set of matrix inequalities. A numerical example is used to demonstrate the feasibility and effectiveness of the presented method.
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Key words:
- Uncertain linear discrete system /
- peak-to-peak gain /
- robust control
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