Sliding mode control of vibration in a flexible structure using output feedback method

This paper presents a new approach for the robust control of vibration in a flexible structure in the presence of uncertain parameters and the effect of observation spillover. The development of the technique which is based on the sliding mode control algorithm and direct output feedback is presented. The uncertainty matrix need not satisfy the invariance or matching conditions. The small gain theorem / μ analysis is applied to analyze the asymptotic behavior of the closed-loop system with parametric uncertainties inside boundary layers. Using a flexible tetrahedral truss structure, numerical examples are presented to verify the theoretical analysis.