This chapter is endeavored to motivate the use and further research of dissipative and passive discrete-time systems exploiting their frequency-domain characteristics. Our aim will be to answer the question what dissipativity may be for. For this purpose, some important features and implications of the dissipativity and passivity properties in the discrete-time setting are collected. For the li...

Passivity of systems comprising a continuous time plant and discrete time controller is considered. This topic is motivated by stability considerations arising in the control of robots and force-reflecting human interfaces (‘‘haptic interfaces’’). Necessary conditions for passivity are found via a small gain condition, and sufficient conditions are found via an application of Parseval’s theorem...

This paper extends the generalized Hamiltonian method (GHM) (Zhang et al., 2009; Zhang and Wong, 2010) and its half-size variant (HGHM) (Zhang and Wong, 2010) to their -parameter counterparts (called S-GHM and S-HGHM, respectively), for testing the passivity of -parameter descriptor-form models widely used in high-speed circuit and electromagnetic simulations. The proposed methods are capable o...

In this paper, a technique to approximate a class of passive delay systems by a bond graph model is investigated. This method is designed to preserve the passivity of the initial model. Through interconnections of passive elementary blocks (passivity is stable under interconnections), a finite dimensional passive approximant is constructed. This finite dimensional model, if need be, is reduced ...

In this paper, we propose a new passivity-based synchronization method for two different chaotic systems. Based on Lyapunov stability theory and linear matrix inequality (LMI) approach, the passivity-based controller is presented to make the synchronization error system between two different chaotic systems not only passive but also asymptotically stable. It is shown that the proposed controlle...

The interconnection stability of a grid-connected voltage-source converter (VSC) can be assessed by the passivity properties of the VSC input admittance. If critical grid resonances fall within regions where the input admittance acts passively, i.e., has nonnegative real part, then their destabilization is generally prevented. This paper presents an overview of passivity-based stability assessm...

This paper focuses on the stabilization of port-controlled Hamiltonian systems employing possibly time-varying controllers. At first we refer to the generalized canonical transformation which preserves the structure of Hamiltonian systems and the passivity property that physical systems innately possess. Next we show a general stabilization strategy for port-controlled Hamiltonian systems based...

For a class of square continuous time nonlinear controllers we design a suitable resetting rule inspired by the resetting rule for Clegg integrators and First Order Reset Elements (FORE). With this rule, we prove that the arising hybrid system with temporal regularization is passive in the conventional continuous time sense with a small shortage of input passivity decreasing with the temporal r...

In this paper, performance of recently modified two-port time-domain passivity approach is evaluated under serious time-varying communication delay. First, recently proposed two-port time-domain passivity approach is reviewed. A packet reflector with wireless internet connection is used to introduce serious time-varying communication delay of teleoperators. Average amount of time-delay was abou...