A novel approach to L-1-induced controller synthesis for positive systems with interval uncertainties

作者：Chen, Xiaoming^*; Chen, Mou; Shen, Jun

来源：Journal of the Franklin Institute, 2017, 354(8): 3364-3377.

DOI：10.1016/j.jfranklin.2017.02.039

• SUGENO FUZZY-SYSTEMS
• STABILITY
• CONTROLLABILITY
• STABILIZATION
• MODEL

This paper investigates the controller design problem for interval positive systems under L-1-induced performance. First, we present the L-1-induced performance indicator for positive systems, which fits well into the linear Lyapunov function. Then, the analytic expression is established to obtain the exact value of L-1-induced norm and the L-1-induced performance characterization is developed. Furthermore, a linear programing based method is proposed to solve the L-1-induced controller synthesis problem for positive systems with interval uncertainties. Finally, we provide a numerical example to demonstrate the validity and efficiency of the derived methods.

• 出版日期2017-5
• 单位南京航空航天大学