Robustness analysis of linear timevarying systems with application to aerospace systemsTools Biertümpfel, Felix (2021) Robustness analysis of linear timevarying systems with application to aerospace systems. PhD thesis, University of Nottingham.
AbstractIn recent years significant effort was put into developing analytical worstcase analysis tools to supplement the Verification \& Validation (V\&V) process of complex industrial applications under perturbation. Progress has been made for parameter varying systems via a systematic extension of the bounded real lemma (BRL) for nominal linear parameter varying (LPV) systems to IQCs. However, finite horizon linear timevarying (LTV) systems gathered little attention. This is surprising given the number of nonlinear engineering problems whose linearized dynamics are timevarying along predefined finite trajectories. This applies to everything from space launchers to paper processing machines, whose inertia changes rapidly as the material is unwound. Fast and reliable analytical tools should greatly benefit the V\&V processes for these applications, which currently rely heavily on computationally expensive simulationbased analysis methods of full nonlinear models.
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