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Uncertain System Representation

Models of systems with uncertain parameters or unmodeled dynamics

With Robust Control Toolbox™, you can capture not only the typical, or nominal, behavior of your plant, but also the amount of uncertainty and variability. Plant model uncertainty can result from:

  • Model parameters with approximately known or varying values

  • Neglected or poorly known dynamics, such as high-frequency dynamics

  • Variations in loop gain and phase

  • Changes in operating conditions

  • Linear approximations of nonlinear behaviors

  • Estimation errors in a model identified from measured data

The toolbox lets you build detailed uncertain models by combining nominal dynamics with uncertain elements, such as uncertain parameters or neglected dynamics. By quantifying the level of uncertainty in each element, you can capture the overall fidelity and variability of your plant model. You can then analyze how each uncertain element affects performance and identify worst-case combinations of uncertain element values.