Abstract
In the paper, H∞ and robust H∞ control for fractional order systems (FOS) with order 0<α<1 are studied. Firstly, necessary and sufficient conditions of H∞ control and state feedback controller design are proposed. Then, robust H∞ control for FOS with uncertainty is studied, and state feedback controller is designed. These conditions are based on linear matrix inequalities (LMI) and can be easily solved by the LMI toolbox. Finally, the effectiveness of these conditions is verified by two numerical examples.
Funder
National Key R&D Program of China
the National Natural Science Foundation of China
Subject
Statistics and Probability,Statistical and Nonlinear Physics,Analysis
Cited by
5 articles.
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