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
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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.| File | Dimensione | Formato | |
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