Sliding mode control of vibration in a flexible structure via estimated states and H∞/μ 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_∞/μ techniques. A set of sliding hyperplanes is designed in estimated state space via the linear fractional transformation and the H_∞ control methods. Using a flexible tetrahedral truss structure, numerical examples are presented to verify the theoretical analysis. Results from H_∞ control with estimated states, sliding mode/H_∞ control using the estimated states and standard output-feedback H_∞ control are presented and compared