Abstract
The loop shaping scheme is applied to ℋ∞-control of time-varying and periodic systems. The solution is given in a unified mixed continuous/discrete-time compact form. This implies that pure continuous-time and discrete-time applications simply appear as two different interpretations of the given results. Among the applications are also hybrid systems with time-driven discrete events. For periodic continuous-time systems, a lifted (or discretised) system model is used to catch the behaviour during the period. The results can be considered as a generalisation of the Glover-McFarlane loop shaping procedure.
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