A partitioning approach for H-infinity control of singular time-delaysystems

作者：Kchaou Mourad^*; Tadeo Fernando; Chaabane Mohamed

来源：Optimal Control Applications and Methods, 2013, 34(4): 472-486.

DOI：10.1002/oca.2034

• time-delay continuous singular systems
• delay-dependent stability
• delay-partitioning
• H-infinity control
• static output feedback control
• LMI
• homotopy method

This paper presents a new approach for delay-dependent H stability analysis and control synthesis for singular systems with delay. By constructing an augmented Lyapunov-Krasovskii functional with a triple-integral term, and using the partitioning technique, a bounded real lemma is presented to ensure the singular state-delay system to be regular, impulse free and stable with -disturbance rejection. The proposed result leads to significant performance improvement in system analysis and synthesis. Based on the criterion obtained, a homotopy-based iterative LMI algorithm is developed to design a static output feedback controller. The feasibility and the effectiveness of theoretical developments are illustrated through numerical examples.

• 出版日期2013-7