Non-fragile observer-based robust control for a class of fractional-order nonlinear systems

作者：Lan, Yong Hong; Zhou, Yong^*

来源：Systems & Control Letters, 2013, 62(12): 1143-1150.

DOI：10.1016/j.sysconle.2013.09.007

• Fractional-order nonlinear system
• Observer-based control
• Singular value decomposition (SVD)
• Linear matrix inequality (LMI)

The paper is concerned with the problem of the observer-based robust control for a class of fractional-order nonlinear systems. First, by introducing a continuous frequency distributed equivalent model and using indirect Lyapunov approach, the sufficient condition for robust asymptotic stability of the closed-loop system via state observer-based control is presented, which is less conservative than some existing ones in recent literature. Next, using matrix's singular value decomposition (SVD) and linear matrix inequality (LMI) techniques, the existence condition and method of designing a robust non-fragile observer-based controller are derived. Finally, the validity of the proposed methods are demonstrated by two numerical examples.

• 出版日期2013-12
• 单位湘潭大学