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On the sensitivity minimization problem for linear time-varying periodic systems. (English) Zbl 0624.93021

“An optimal control problem is formulated in the context of linear, discrete-time, periodic systems. The cost is the supremum over all exogenous inputs in a weighted ball of plant inputs. The controller is required to be causal, periodic of the fixed order of the system and to achieve internal stability. Existence of an optimal controller is proved and a formula for the minimum cost is derived” (Abstract). It turns out, in particular, that non-periodic controllers will not have lower sensitivity.
Reviewer: F.Colonius

MSC:

93B35 Sensitivity (robustness)
93C05 Linear systems in control theory
93C55 Discrete-time control/observation systems
47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators
93C25 Control/observation systems in abstract spaces

Keywords:

time-dependent
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