Abstract
AbstractIn this paper we propose procedure of optimal stabilization of the planar linear milling model described by the system of two second-order retarded differential equations with periodic coefficients. The problem is solved in the set of piecewise constant state feedback controls. Approach based on the idea of canonical decomposition of the function state space leads to the finite-dimensional approximation of the initial problem. The approximating continuous stabilization problem is replaced by the equivalent discrete one. Special numeric scheme is used to design the optimal stabilizing control of the latter problem.KeywordsPeriodic hereditary differential systemPeriodic discrete-time Riccati equationCanonical decomposition of the state space
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