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 < 1 with uncertainty. First, the condition based on the linear matrix inequality (LMI) is obtained for fractional order systems with 0 < 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.

Automated summary

This article studies robust H-infinity control for fractional order singular systems with uncertainty. By using two matrices to replace the complex matrix, the condition is easier to solve. The improved control conditions overcome the equality constraints. The effectiveness of the method is demonstrated through four examples.