Guaranteed cost finite-time control of discrete-time positive impulsive switched systems (Q1722697)
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scientific article; zbMATH DE number 7024553
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Guaranteed cost finite-time control of discrete-time positive impulsive switched systems |
scientific article; zbMATH DE number 7024553 |
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Guaranteed cost finite-time control of discrete-time positive impulsive switched systems (English)
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18 February 2019
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Summary: This paper considers the guaranteed cost finite-time boundedness of discrete-time positive impulsive switched systems. Firstly, the definition of guaranteed cost finite-time boundedness is introduced. By using the Multiple Linear Copositive Lyapunov Function (MLCLF) and Average Dwell Time (ADT) approach, a state feedback controller is designed and sufficient conditions are obtained to guarantee that the corresponding closed-loop system is Guaranteed Cost Finite-Time Boundedness (GCFTB). Such conditions can be solved by linear programming. Finally, a numerical example is provided to show the effectiveness of the proposed method.
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finite-time control
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discrete-time positive impulsive switched systems
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multiple linear copositive Lyapunov function (MLCLF)
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average dwell time (ADT) approach
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state feedback control
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linear programming
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