OPTIMAL CONTROL OF A MECHANICAL TWO-MASS-SPRING SYSTEM
USING INVARIANT ELLIPSOIDS TECHNIQUE
Pavel Shcherbakov, Boris Polyak, Mikhail Topunov
A robust formulation is given for the problem of optimal rejection of persistent exogenous disturbances
in dynamic systems subjected to matrix uncertainties. The solution technique based on the invariant ellipsoids
concept is developed. The approach is exemplified through a well-known benchmark control problem for a mechanical
two-mass-spring system.