Algebraic IDA-PBC for Polynomial Systems with Input Saturation: An SOS-based Approach
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| Format: | Artículo científico |
| Language: | es |
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Escuela Politécnica Nacional
2019
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| author | Oscar B. Cieza A. |
| author_facet | Oscar B. Cieza A. |
| contents | Algebraic IDA-PBC for Polynomial Systems with Input Saturation: An SOS-based Approach Oscar B. Cieza A. Johann Reger Ingeniería IDA PBC Port Sum of Squares Polynomial Systems The necessity to deal with partial differential equations (PDEs) and the dissipation condition are the main adversities in the application of Interconnection and Damping Assignment Passivity-Based Control (IDA-PBC). Recently, an algebraic solution of IDA-PBC has been explored for a class of affine polynomial systems by using sum of squares (SOS) and semidefinite programming (SDP). In this work, we extend the previous method by incorporating actuator saturation (AS) and two minimization objectives in the SDP. Our results are validated on two polynomial systems. 2019 artículo científico 1390-0129 https://www.redalyc.org/articulo.oa?id=688773632003 es http://www.redalyc.org/revista.oa?id=6887 Revista Politécnica application/pdf Escuela Politécnica Nacional Revista Politécnica (Ecuador) Num.2 Vol.42 |
| format | Artículo científico |
| id | redalyc_688773632003 |
| institution | Redalyc |
| language | es |
| publishDate | 2019 |
| publisher | Escuela Politécnica Nacional |
| spellingShingle | Algebraic IDA-PBC for Polynomial Systems with Input Saturation: An SOS-based Approach Oscar B. Cieza A. Ingeniería IDA PBC Port Sum of Squares Polynomial Systems Algebraic IDA-PBC for Polynomial Systems with Input Saturation: An SOS-based Approach Oscar B. Cieza A. Johann Reger Ingeniería IDA PBC Port Sum of Squares Polynomial Systems The necessity to deal with partial differential equations (PDEs) and the dissipation condition are the main adversities in the application of Interconnection and Damping Assignment Passivity-Based Control (IDA-PBC). Recently, an algebraic solution of IDA-PBC has been explored for a class of affine polynomial systems by using sum of squares (SOS) and semidefinite programming (SDP). In this work, we extend the previous method by incorporating actuator saturation (AS) and two minimization objectives in the SDP. Our results are validated on two polynomial systems. 2019 artículo científico 1390-0129 https://www.redalyc.org/articulo.oa?id=688773632003 es http://www.redalyc.org/revista.oa?id=6887 Revista Politécnica application/pdf Escuela Politécnica Nacional Revista Politécnica (Ecuador) Num.2 Vol.42 |
| title | Algebraic IDA-PBC for Polynomial Systems with Input Saturation: An SOS-based Approach |
| topic | Ingeniería IDA PBC Port Sum of Squares Polynomial Systems |
| url | https://www.redalyc.org/articulo.oa?id=688773632003 |