A passivity framework for hydraulic actuators is developed by consideration of the compressibility energy function for a fluid with a pressure dependent bulk modulus. The typical actuator’s mechanical and pressure dynamic model is shown to be the Euler-Lagrange equations for this energy function. A passivity property for the actuator is exhibited in which the hydraulic supply rate contains the ...

This paper studies necessary and sufficient conditions for numerical stability verification of a twodimensional time-dependent nonlinear shallow water (NLSW) system integrated by multidimensional wave digital filtering (MDWDF) network. As the verification activities are directly linked to the passivity of the system, the proposed solutions from the MDWDF network are intensively analyzed for the...

This article deals with a class of resistive–inductive–capacitive (RLC) circuits and switched RLC (s–RLC) modeled in the Brayton–Moser framework. For this systems, new passivity properties using Krasovskii-type Lyapunov function as storage are presented, where supply rate is system states, inputs, their first time derivatives. Moreover, after showing integrability property port-variables, two s...