Extended and Generic Higher-Order Elements for MEMS Modeling
State-dependent resistors, capacitors, and inductors are a common part of many smart engineering solutions, e.g., in MEMS (Micro-Electro-Mechanical Systems) sensors and actuators, Micro/NanoMachines, or biomimetic systems. These memory elements are today modeled as generic and extended memristors (M...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-10-01
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| Series: | Sensors |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1424-8220/22/20/8007 |
| _version_ | 1827647932821667840 |
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| author | Zdeněk Biolek Viera Biolková Dalibor Biolek Zdeněk Kolka |
| author_facet | Zdeněk Biolek Viera Biolková Dalibor Biolek Zdeněk Kolka |
| author_sort | Zdeněk Biolek |
| collection | DOAJ |
| description | State-dependent resistors, capacitors, and inductors are a common part of many smart engineering solutions, e.g., in MEMS (Micro-Electro-Mechanical Systems) sensors and actuators, Micro/NanoMachines, or biomimetic systems. These memory elements are today modeled as generic and extended memristors (MR), memcapacitors (MC), and meminductors (ML), which are more general versions of classical MR, MC, and ML from the infinite set of the fundamental elements of electrical engineering, known as Higher-Order Elements (HOEs). It turns out that models of many complex phenomena in MEMS cannot be constructed only from classical and state-dependent elements such as R, L, and C, but that other HOEs with generalized behavior should also be used. Thus, in this paper, generic and extended versions of HOEs are introduced, overcoming the existing limitation to MR, MC, and ML elements. The relevant circuit theorems are formulated, which generalize the well-known theorems of classical memory elements, and their application to model complex processes of various physical natures in MEMS is shown. |
| first_indexed | 2024-03-09T19:29:21Z |
| format | Article |
| id | doaj.art-07663d66a9a2440394ffe2c37a55c048 |
| institution | Directory Open Access Journal |
| issn | 1424-8220 |
| language | English |
| last_indexed | 2024-03-09T19:29:21Z |
| publishDate | 2022-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Sensors |
| spelling | doaj.art-07663d66a9a2440394ffe2c37a55c0482023-11-24T02:30:11ZengMDPI AGSensors1424-82202022-10-012220800710.3390/s22208007Extended and Generic Higher-Order Elements for MEMS ModelingZdeněk Biolek0Viera Biolková1Dalibor Biolek2Zdeněk Kolka3Department of Electrical Engineering, University of Defence, 662 10 Brno, Czech RepublicDepartment of Radio Electronics, Brno University of Technology, 616 00 Brno, Czech RepublicDepartment of Electrical Engineering, University of Defence, 662 10 Brno, Czech RepublicDepartment of Radio Electronics, Brno University of Technology, 616 00 Brno, Czech RepublicState-dependent resistors, capacitors, and inductors are a common part of many smart engineering solutions, e.g., in MEMS (Micro-Electro-Mechanical Systems) sensors and actuators, Micro/NanoMachines, or biomimetic systems. These memory elements are today modeled as generic and extended memristors (MR), memcapacitors (MC), and meminductors (ML), which are more general versions of classical MR, MC, and ML from the infinite set of the fundamental elements of electrical engineering, known as Higher-Order Elements (HOEs). It turns out that models of many complex phenomena in MEMS cannot be constructed only from classical and state-dependent elements such as R, L, and C, but that other HOEs with generalized behavior should also be used. Thus, in this paper, generic and extended versions of HOEs are introduced, overcoming the existing limitation to MR, MC, and ML elements. The relevant circuit theorems are formulated, which generalize the well-known theorems of classical memory elements, and their application to model complex processes of various physical natures in MEMS is shown.https://www.mdpi.com/1424-8220/22/20/8007Chua’s tablehigher-order elementextended elementgeneric elementpinched hysteresis loop |
| spellingShingle | Zdeněk Biolek Viera Biolková Dalibor Biolek Zdeněk Kolka Extended and Generic Higher-Order Elements for MEMS Modeling Sensors Chua’s table higher-order element extended element generic element pinched hysteresis loop |
| title | Extended and Generic Higher-Order Elements for MEMS Modeling |
| title_full | Extended and Generic Higher-Order Elements for MEMS Modeling |
| title_fullStr | Extended and Generic Higher-Order Elements for MEMS Modeling |
| title_full_unstemmed | Extended and Generic Higher-Order Elements for MEMS Modeling |
| title_short | Extended and Generic Higher-Order Elements for MEMS Modeling |
| title_sort | extended and generic higher order elements for mems modeling |
| topic | Chua’s table higher-order element extended element generic element pinched hysteresis loop |
| url | https://www.mdpi.com/1424-8220/22/20/8007 |
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