Sliding mode control of vibration in a flexible structure via estimated states and H/sub /spl infin////spl mu/ techniques

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 spill over. The algorithm is based on the sliding mode control and H/sub /spl infin////spl mu/ techniques. A set of sliding hyperplanes is designed in estimated state space via the linear fractional transformation and the H/sub /spl infin// control methods. Using a flexible tetrahedral truss structure, numerical examples are presented to verify the theoretical analysis. Results from H/sub /spl infin// control with estimated states, sliding mode/H/sub /spl infin// control using the estimated states and standard output-feedback H/sub /spl infin// control are presented and compared.