Probabilistic Robustness Analysis of Uncertain LTV Systems in Linear Fractional Representation

This letter quantifies the effect of random model uncertainty on finite horizon linear time-varying (LTV) systems. Mean and standard deviation field are approximated with high accuracy efficiency by a Hilbert space technique called polynomial chaos expansion (PCE). The deterministic coefficients generalized Fourier series determined via orthogonal projection, also known as Galerkin projection. We propose projection uncertain systems in fractional representation (LFR), which can have computational benefits. is benchmarked two-link robotic manipulator.