Non-Fragile Observer-Based _ℋ∞ Control for Uncertain Neutral-Type Systems via Sliding Mode Technique

This paper is concerned with the problem of observer-based H_∞ control for a class of uncertain neutral-type systems subjected to external disturbance by utilizing sliding mode technique. A novel sliding mode control (SMC) strategy is proposed based on the state estimate and the output. A new sufficient condition of robust asymptotic stability with H_∞ disturbance attenuation level for the overall systems composed of the original system and error system in the sliding mode is derived in terms of a linear matrix inequality (LMI). Then, a new adaptive controller is designed to guarantee the reachability of the predefined sliding surface in finite-time. Finally, numerical examples are provided to verify the effectiveness of the proposed method.