| In this thesis, we consider the problem of modeling and control of a large flexible space structure against potential damage. We propose the use of structural uncertainty (parameter variation) to capture the model variations and model changes due to the damage of the structure. The plant uncertainty is described as an interval transfer function or as interval state-space model, and the resulting interval models are guaranteed to include all dynamical changes caused by structural damage.; The controller design is based on the {dollar}mu{dollar}-synthesis in conjunction with the extremal properties of interval systems. Unlike conventional {dollar}mu{dollar}-synthesis, this technique enables us to use a fixed number of uncertain parameters regardless of the number of actual parameters. The techniques developed here are applicable to both SISO and MIMO systems. The proposed modeling and control techniques are validated through frequency and time domain analysis. |
