Circuit synthesis of passive descriptor systems—a modified nodal approach

Reis, Timo

doi:10.1002/cta.532

Cited by 57 publications

(52 citation statements)

References 29 publications

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“…A common way of modeling electrical networks is the modified nodal analysis (MNA), see [17,21,40,45]. This modeling procedure results in a description of the circuit by a system of the form (1.1), where the inputs and outputs are appropriately chosen and the matrices E, A, B, C have specific properties, see also [38]. Omitting the details of this procedure and the circuit theoretic background, we are only interested in the resulting system (1.1) and its properties.…”

Section: Remark 61 (Initial Gain)mentioning

confidence: 99%

Zero dynamics and funnel control of general linear differential-algebraic systems

Berger

2016

ESAIM: COCV

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We study linear differential-algebraic multi-input multi-output systems which are not necessarily regular and investigate the zero dynamics and tracking control. We use the concepts of autonomous zero dynamics and (E, A, B)-invariant subspaces to derive the so called zero dynamics form -which decouples the zero dynamics of the system -and exploit it for the characterization of system invertibility. Asymptotic stability of the zero dynamics is characterized and some implications for stabilizability in the behavioral sense are shown. A refinement of the zero dynamics form is then exploited to show that the funnel controller (that is a static nonlinear output error feedback) achieves -for a special class of right-invertible systems with asymptotically stable zero dynamics -tracking of a reference signal by the output signal within a pre-specified performance funnel. It is shown that the results can be applied to a class of passive electrical networks.

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Section: Remark 61 (Initial Gain)mentioning

confidence: 99%

Zero dynamics and funnel control of general linear differential-algebraic systems

Berger

2016

ESAIM: COCV

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“…We assume the same setting as in Section 3.2. An appropriate definition can be found, e. g., in [20]. The matrix Σ e is called external signature of the system.…”

Section: Reciprocitymentioning

confidence: 99%

“…Therefore, it is generally important to compute reduced-order models that share these properties with the original model. Moreover, preserving reciprocity allows the synthesis of the reduced-order model as circuit [20].…”

Section: Introductionmentioning

confidence: 99%

On Stability, Passivity and Reciprocity Preservation of ESVDMOR

Benner

Schneider

2011

Lecture Notes in Electrical Engineering

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The reduction of parasitic linear subcircuits is one of many issues in model order reduction (MOR) for VLSI design. This issue is well explored, but recently the incorporation of subcircuits from different modelling sources into the circuit model has led to new structural aspects: so far, the number of elements in the subcircuits was significantly larger than the number of connections to the whole circuit, the so called pins or terminals. This assumption is no longer valid in all cases such that the simulation of these circuits or rather the reduction of the model requires new methods. In [6,15,17], the extended singular value decomposition based model order reduction (ESVDMOR) algorithm is introduced as a way to handle this kind of circuits with a massive number of terminals. Unfortunately, the ESVDMOR approach has some drawbacks because it uses the SVD for matrix factorizations. In [5,22] the truncated SVD (TSVD) as an alternative to the SVD within the ESVDMOR is introduced. In this paper we show that ESVDMOR as well as the modified approach is stability, passivity, and reciprocity preserving under reasonable assumptions.

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“…the 1971 paper of Gear [26], the papers of Luenberger in the late 1970s [45,46], the "Pitman books" of Campbell [11,12], the 1981 paper of Newcomb [51], and the 1986 and 1989 special issues of Circuits, Systems, and Signal Processing [41,42]), DAEs have played an increasingly significant role as a modelling and analysis tool within these fields. Recent applications are reported in [2,4,21,35,37,44,47,55,56,57,67,70,71,72].…”

Section: Introductionmentioning

confidence: 99%

“…This has been mainly motivated by the use of nodal techniques such as Modified Nodal Analysis (MNA) in circuit simulators, notably in SPICE and its commercial variants [27,28,55]. Under passivity assumptions, the index of nodal models is known to be not greater than two, according to the results in [23,68].…”

Section: Introductionmentioning

confidence: 99%

Hybrid Analysis of Nonlinear Circuits: DAE Models with Indices Zero and One

Vega

Riaza

2013

Circuits Syst Signal Process

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We extend in this paper some previous results concerning the differential-algebraic index of hybrid models of electrical and electronic circuits. Specifically, we present a comprehensive index characterization which holds without passivity requirements, in contrast to previous approaches, and which applies to nonlinear circuits composed of uncoupled, one-port devices. The index conditions, which are stated in terms of the forest-structure of certain digraph minors, do not depend on the specific tree chosen in the formulation of the hybrid equations. Additionally, we show how to include memristors in hybrid circuit models; in this direction, we extend the index analysis to circuits including active memristors, which have been recently used in the design of nonlinear oscillators and chaotic circuits. We also discuss the extension of these results to circuits with controlled sources, making our framework of interest in the analysis of circuits with transistors, amplifiers and other multiterminal devices.

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Circuit synthesis of passive descriptor systems—a modified nodal approach

Abstract: SUMMARYIn this work we consider the problem of multiport passive reciprocal network synthesis by descriptor systems. A numerical method is presented that leads to circuit equations in modified nodal analysis.

Cited by 57 publications

References 29 publications

Zero dynamics and funnel control of general linear differential-algebraic systems

Zero dynamics and funnel control of general linear differential-algebraic systems

On Stability, Passivity and Reciprocity Preservation of ESVDMOR

Hybrid Analysis of Nonlinear Circuits: DAE Models with Indices Zero and One

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