Robust H∞ control for fractional order singular systems 0 < α < 1 with uncertainty

This article studies robust H-infinity control for fractional order singular systems (FOSS) 0 <alpha < 1 with uncertainty. First, the condition based on the linear matrix inequality (LMI) is obtained for fractional order systems with 0 <alpha< 1 in Corollary 1. Compared with existing results, by using two matrices to replace the complex matrix, the condition is easier to solve. Based on Corollary 1, the condition of H-infinity control based on non-strict LMI for FOSS without uncertainty is proposed. The strict LMI-based conditions of H-infinity control are improved to overcome the equality constraints. Finally, the LMI-based conditions of robust H-infinity control are proposed for FOSS. Four examples are shown to illustrate the effectiveness of the method.