Krasovskii's Passivity
This work offers a new theoretical framework for control systems, potentially expanding the applicability of passivity-based control to systems where standard methods fail.
The paper introduces a new notion of passivity called Krasovskii's passivity, provides sufficient conditions for it, and demonstrates its applicability to port-Hamiltonian and gradient systems. It also proposes a new interconnection-based control technique that works even when standard passivity-based control is unclear, as shown in examples of a Boost converter and a parallel RLC circuit.
In this paper we introduce a new notion of passivity which we call Krasovskii's passivity and provide a sufficient condition for a system to be Krasovskii's passive. Based on this condition, we investigate classes of port-Hamiltonian and gradient systems which are Krasovskii's passive. Moreover, we provide a new interconnection based control technique based on Krasovskii's passivity. Our proposed control technique can be used even in the case when it is not clear how to construct the standard passivity based controller, which is demonstrated by examples of a Boost converter and a parallel RLC circuit.