Analysis and synthesis of discrete control systems under conditions of nonstochastic uncertainty (Q1968532)
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scientific article; zbMATH DE number 1418932
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Analysis and synthesis of discrete control systems under conditions of nonstochastic uncertainty |
scientific article; zbMATH DE number 1418932 |
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Analysis and synthesis of discrete control systems under conditions of nonstochastic uncertainty (English)
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20 March 2000
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Linear discrete-time control systems described by discrete state equations are considered. The systems are disturbed by unknown input vectors which are assumed to be members of a convex compact set. It is assumed that a linear stabilizing state controller exists for the undisturbed system. It is shown that for nilpotent closed loop system-matrices an invariant set with minimum radius can be obtained. The results are extended for systems with uncertain parameters. A solution to the controller design problem is proposed.
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bounded disturbances
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discrete-time control systems
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nilpotent closed loop system-matrices
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invariant set
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uncertain parameters
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design
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