ON L∞-INDUCED STABILIZATION OF POSITIVE LINEAR SYSTEMS WITH DISTRIBUTED DELAYS

• Tác giả: Thi Hong Mai
• Ngôn ngữ: eng
• Thông tin xuất bản: Tạp chí Khoa học - Trường Đại học Sư phạm Hà Nội: Khoa học Tự nhiên, 2020
• Mô tả vật lý: tr.3
• Bộ sưu tập: Metadata
• ID: 321323

Tóm tắt

The problem of L∞-gain control is studied for positive linear systems with distributed time delays. By a novel comparison technique involving the monotonicity of the so-called upper scaled systems with peak values of exogenous disturbances, a characterization of L∞-induced norm is first reformulated. Then, necessary and sufficient LP-based conditions subject to L∞-induced performance with prescribed level are derived and utilized to address the design problem of state-feedback controllers that make the closed-loop systems positive, stable and have prescribed L∞-gain performance level. A numerical example is given to illustrate the effectiveness of the proposed method.