Abstract
This paper focuses on the robust normalization and stabilization problems for descriptor fractional-order systems with norm-bounded uncertainties in all system coefficient matrices, including the state derivative coefficient matrix. The proportional and derivative state feedback control is introduced simultaneously to normalize and stabilize such systems. Novel sufficient conditions for the robust normalization and stabilization of such closed-loop systems are presented. Then, both the proportional feedback gain and the derivative feedback gain are obtained simultaneously by solving linear matrix inequalities. Finally, numerical examples are provided to show that the proposed approach is applicable and less conservative than the existing results.
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