On the polarisation and Mott-Schottky characteristics of an Fe-Mn-Al-Ni shape-memory alloy and pure Fe in NaCl-free and NaCl-contaminated Ca(OH)2,sat solution—A comparative study
Marcel MandelVolodymyr KietovRobert HornigMalte VollmerJohanna‐Maria FrenckChristina WüstefeldDavid RafajaThomas NiendorfLutz Krüger
29
Citation
46
Reference
10
Related Paper
Citation Trend
Keywords:
Passivity
Pitting Corrosion
In this paper, we develop two passivity based control methods by using variances of passivity techniques; they are applicable for a class of systems for which the standard passivity based controllers may be difficult to design. As a preliminary step, we establish the connections among four relevant passivity concepts, namely differential, incremental, Krasovskii's and shifted passivity properties as follows: differential passivity $\implies$ incremental passivity $\implies$ shifted passivity, and differential passivity $\implies$ Krasovskii's passivity. Then, based on our observations, we provide two novel dynamic controllers based on Krasovskii's and shifted passivity properties.
Passivity
Cite
Citations (3)
Passivity and dissipativity are energy-like concepts, widely used in control design, that capture the "energy" consumption of a dynamical system and therefore relate closely to the physical world. Passivity indices of a system are measures of its passivity margins and represent shortage and excess of passivity in a system. With the aid of passivity indices, one can measure how passive a system is, or how far from passivity it is. Passivity indices extend all the analysis and design methods based on passivity to nonpassive systems as well. One of the advantages of using passivity is its tight relationship to stability. Another is its compositionality, which, together with its generality, makes it possible to use passivity in a wide range of complex control systems. In the present entry, an overview of dissipativity and passivity is given. Passivity indices of a system and their relation to stability are defined, and methods to find the indices are presented.
Passivity
Generality
Cite
Citations (0)
This chapter provides foundations not only for bilateral teleoperation but also for all of the subsequent chapters. Passivity, stability of dynamical systems, and several passivity-based motion control schemes are introduced.
Passivity
Teleoperation
Foundation (evidence)
Cite
Citations (4)
Passivity indices are used to measure the excess or shortage of passivity. While most of the work in the literature focuses on stability conditions for interconnected systems using passivity indices, here we focus on passivity and passivation of the feedback interconnection of two input feed-forward output-feedback (IF-OF) passive systems. The conditions are given to determine passivity indices in feedback interconnected systems. The results can be viewed as the extension of the well-known compositional property of passivity. We also consider the passivation problem which can be used to render a non-passive plant passive using a feedback interconnected passive controller. The passivity indices of the passivated system are also determined. The results derived do not require linearity of the systems as it is commonly assumed in the literature.
Passivity
Passivation
Economic shortage
Cite
Citations (40)
Passivity index is defined in terms of an excess or shortage of passivity, and it has been introduced in order to extend the passivity-based stability conditions to the more general cases for both passive and non-passive systems. In this report, we revisit the secant criterion literature results from the perspective of passivity indices. While most of the passivity-based stability results in literature focus on studying the feedback interconnection of passive or non-passive systems, our results focus on the study of cascaded interconnection. In this report, we show how to use the secant criterion to quantify the excess/shortage of passivity for cascaded system which includes both passive and non-passive systems. We further show that under certain conditions, the cascaded interconnection can be directly stabilized via output feedback.
Passivity
Economic shortage
Cite
Citations (1)
Passivity and dissipativity are energy-like concepts, widely used in control design, that capture the "energy" consumption of a dynamical system and therefore relate closely to the physical world. Passivity indices of a system are measures of its passivity margins and represent shortage and excess of passivity in a system. With the aid of passivity indices, one can measure how passive a system is, or how far from passivity it is. Passivity indices extend all the analysis and design methods based on passivity to nonpassive systems as well. One of the advantages of using passivity is its tight relationship to stability. Another is its compositionality, which, together with its generality, makes it possible to use passivity in a wide range of complex control systems. In the present entry, an overview of dissipativity and passivity is given. Passivity indices of a system and their relation to stability are defined, and methods to find the indices are presented.
Passivity
Generality
Cite
Citations (1)
Passivity
Lyapunov stability
Cite
Citations (58)
Pitting Corrosion
Cite
Citations (41)
This paper presents a framework for control design of interconnected nonlinear switched systems using passivity and passivity indices. Background material is presented on the concept of passivity indices for continuously-varying systems. The passivity indices are then generalized to apply to switched systems to measure the level of passivity in a system. The main result of the paper shows how the indices can be compared between two systems in feedback to verify stability. It is explained how this theorem can be used as a control design tool for general nonlinear switched systems. An example is provided to demonstrate this design method. The connection between passivity indices and conic systems theory is summarized in the appendix.
Passivity
Conic section
Cite
Citations (45)
Passivity is an imperative concept and a widely utilized tool in the analysis and control of interconnected systems. It naturally arises in the modelling of physical systems involving passive elements and dynamics. While many theorems on passivity are known in the theory of robust control, very few converse passivity results exist. This paper establishes various versions of converse passivity theorems for nonlinear feedback systems. In particular, open-loop passivity is shown to be necessary to ensure closed-loop passivity from an input-output perspective. Moreover, the stability of the feedback interconnection of a specific system with an arbitrary passive system is shown to imply passivity of the system itself.
Passivity
Converse
Cite
Citations (0)