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 u-average passivity is clarified by exploiting the inverse optimal control problem associated with a given Lyapunov stabilizing feedback. Some constructive cases are analyzed.

On optimality of passivity based controllers in discrete-time / Monaco, Salvatore; Normand Cyrot, D.. - In: SYSTEMS & CONTROL LETTERS. - ISSN 0167-6911. - STAMPA. - 75:(2015), pp. 117-123. [10.1016/j.sysconle.2014.10.002]

On optimality of passivity based controllers in discrete-time

MONACO, Salvatore
;
2015

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 u-average passivity is clarified by exploiting the inverse optimal control problem associated with a given Lyapunov stabilizing feedback. Some constructive cases are analyzed.
2015
Nonlinear discrete-time systems; Optimal control; Nonlinear stabilization; Passivity based control; Lyapunov design
01 Pubblicazione su rivista::01g Articolo di rassegna (Review)
On optimality of passivity based controllers in discrete-time / Monaco, Salvatore; Normand Cyrot, D.. - In: SYSTEMS & CONTROL LETTERS. - ISSN 0167-6911. - STAMPA. - 75:(2015), pp. 117-123. [10.1016/j.sysconle.2014.10.002]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/647628
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