$\mathscr{H}_{\infty}$ Static Output Feedback Controller Design for Singular Fractional-Order Systems
Abstract
This paper investigates the problem of static output feedback H∞ control for singular continuous-time fractional-order systems with the fractional-order derivative α belonging to 1 ≤ α < 2. All required conditions in this paper are characterized in the form of strict linear matrix inequalities whose feasible solutions can be obtained easily and directly. Finally, some numerical examples are provided to illustrate the effectiveness of the obtained theoretical results in the paper.