Generalised tangential interpolation for model reduction of discrete-time MIMO bilinear systems
In this article, we discuss a model order reduction method for multiple-input and multiple-output discrete-time bilinear control systems. Similar to the continuous-time case, we will show that a system can be characterised by a series of generalised transfer functions. This will be achieved by a mul...
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| Veröffentlicht in: | International journal of control 2011-08, Vol.84 (8), p.1398-1407 |
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| container_title | International journal of control |
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| creator | Benner, P. Breiten, T. Damm, T. |
| description | In this article, we discuss a model order reduction method for multiple-input and multiple-output discrete-time bilinear control systems. Similar to the continuous-time case, we will show that a system can be characterised by a series of generalised transfer functions. This will be achieved by a multivariate Z-transform of kernels corresponding to an explicit solution formula for discrete-time systems. We will further address the problem of generalised tangential interpolation which naturally comes along with this approach. We will introduce a reasonable generalisation of the linear ℋ
2
-norm. Based on this concept, we discuss the choice of interpolation points. Furthermore, an efficient discretisation of continuous-time systems is provided. The performance of the proposed method is evaluated in some numerical examples and compared with the method of balanced truncation for bilinear systems. |
| doi_str_mv | 10.1080/00207179.2011.601761 |
| format | Article |
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2
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2
-norm. Based on this concept, we discuss the choice of interpolation points. Furthermore, an efficient discretisation of continuous-time systems is provided. The performance of the proposed method is evaluated in some numerical examples and compared with the method of balanced truncation for bilinear systems.</description><subject>Applied sciences</subject><subject>bilinear systems</subject><subject>Computer science; control theory; systems</subject><subject>Control theory. Systems</subject><subject>discrete systems</subject><subject>Exact sciences and technology</subject><subject>model order reduction</subject><subject>Modelling and identification</subject><subject>Studies</subject><subject>tangential interpolation</subject><issn>0020-7179</issn><issn>1366-5820</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><recordid>eNp9kEGLFDEQhYMoOK7-Aw9B8NhjVVcmnT6JLO66sMte9Byy6WrJkk7GJIPMv7fH2fXoqaD43nvwCfEeYYtg4BNADwMO47YHxK0GHDS-EBskrbud6eGl2JyQ7sS8Fm9qfQRA2hncCHvNiYuLofIkm0s_ObXgogypcdnn6FrISc65yCVPHGXh6eD__vIsp1B94cZdCwvLu5u7e_kQYkjsiqzH2nipb8Wr2cXK757uhfhx9fX75bfu9v765vLLbedJq9YRMxKBphkVMDlFCg3MYEavFAyazAw47chP6Hk0rp88DT175R3Q-EB0IT6ce_cl_zpwbfYxH0paJ60xWo9IMK6QOkO-5FoLz3ZfwuLK0SLYk0n7bNKeTNqzyTX28anbVe_iXFzyof7L9kqDNsNu5T6fuZBWYYv7nUucbHPHmMtziP679AcChIb9</recordid><startdate>201108</startdate><enddate>201108</enddate><creator>Benner, P.</creator><creator>Breiten, T.</creator><creator>Damm, T.</creator><general>Taylor & Francis Group</general><general>Taylor & Francis</general><general>Taylor & Francis Ltd</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>201108</creationdate><title>Generalised tangential interpolation for model reduction of discrete-time MIMO bilinear systems</title><author>Benner, P. ; Breiten, T. ; Damm, T.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c364t-3ee133063f140e3a434180f089c4407638f01d53cd1ce98a2dc372ec4ca039b33</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Applied sciences</topic><topic>bilinear systems</topic><topic>Computer science; control theory; systems</topic><topic>Control theory. Systems</topic><topic>discrete systems</topic><topic>Exact sciences and technology</topic><topic>model order reduction</topic><topic>Modelling and identification</topic><topic>Studies</topic><topic>tangential interpolation</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Benner, P.</creatorcontrib><creatorcontrib>Breiten, T.</creatorcontrib><creatorcontrib>Damm, T.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>International journal of control</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Benner, P.</au><au>Breiten, T.</au><au>Damm, T.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Generalised tangential interpolation for model reduction of discrete-time MIMO bilinear systems</atitle><jtitle>International journal of control</jtitle><date>2011-08</date><risdate>2011</risdate><volume>84</volume><issue>8</issue><spage>1398</spage><epage>1407</epage><pages>1398-1407</pages><issn>0020-7179</issn><eissn>1366-5820</eissn><coden>IJCOAZ</coden><abstract>In this article, we discuss a model order reduction method for multiple-input and multiple-output discrete-time bilinear control systems. Similar to the continuous-time case, we will show that a system can be characterised by a series of generalised transfer functions. This will be achieved by a multivariate Z-transform of kernels corresponding to an explicit solution formula for discrete-time systems. We will further address the problem of generalised tangential interpolation which naturally comes along with this approach. We will introduce a reasonable generalisation of the linear ℋ
2
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| subjects | Applied sciences bilinear systems Computer science control theory systems Control theory. Systems discrete systems Exact sciences and technology model order reduction Modelling and identification Studies tangential interpolation |
| title | Generalised tangential interpolation for model reduction of discrete-time MIMO bilinear systems |
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