Guaranteed cost finite-time control of fractional-order positive switched systems (Q1798363)
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scientific article; zbMATH DE number 6962600
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Guaranteed cost finite-time control of fractional-order positive switched systems |
scientific article; zbMATH DE number 6962600 |
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Guaranteed cost finite-time control of fractional-order positive switched systems (English)
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23 October 2018
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Summary: The problem of guaranteed cost finite-time control of Fractional-Order Positive Switched Systems (FOPSS) is considered in this paper. Firstly, a new cost function is defined. Then, by constructing linear copositive Lyapunov functions and using the Average Dwell Time (ADT) approach, a state feedback controller and a static output feedback controller are constructed, respectively, and sufficient conditions are derived to guarantee that the corresponding closed-loop systems are Guaranteed Cost Finite-Time Stable (GCFTS). Such conditions can be easily solved by linear programming. Finally, two examples are given to illustrate the effectiveness of the proposed method.
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finite-time control
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positive switched systems
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state feedback controller
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linear programming
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