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On optimality of passivity based controllers in discrete-time

Abstract : The paper deals with connections between optimality and passivity-like properties in discrete time. The problem is set in the framework of differential/difference representations of discrete-time dynamics. The Hamilton–Jacobi–Bellman equality associated with a given cost and the corresponding optimal control solution are characterized. On these bases the connection with uu-average passivity is clarified by exploiting the inverse optimal control problem associated with a given Lyapunov stabilizing feedback. Some constructive cases are analyzed.
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Submitted on : Thursday, January 8, 2015 - 12:26:43 PM
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Salvatore Monaco, Dorothée Normand-Cyrot. On optimality of passivity based controllers in discrete-time. Systems and Control Letters, Elsevier, 2015, 75, pp.117123. ⟨10.1016/j.sysconle.2014.10.002⟩. ⟨hal-01101297⟩



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