Hannu T. Toivonen

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A state-space solutionof the H1 control problem for periodic multirate sampled-data systems is presented. The solution is characterized in terms of a pair of discrete algebraic Riccati equations with a set of associated matrix positive deeniteness conditions and coupling criteria. The solution is derived using two diierent approaches. In the rst approach,(More)
A state-space solution to the H 1 control problem for periodic multirate systems is presented. The solution is based on the lifting method, where an equivalent time-invariant system description is derived for the original periodic multirate problem. The H 1-optimal controller for the multirate system is expressed in terms of two algebraic Riccati equations.(More)