STABILITY AND DYNAMIC PERFORMANCE BOUNDS FOR NONLINEAR MULTIVARIABLE SYSTEMS
Earlier work on sector bounded nonlinear multivariable systems has provided dynamic performance bounds on system response, via an element-by-element L// infinity treatment. However, this approach relies on a stability criterion which is potentially conservative, since it ignores both frequency depen...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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1987
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| _version_ | 1797067565623672832 |
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| author | Kouvaritakis, B Harrison, R Latchman, H |
| author_facet | Kouvaritakis, B Harrison, R Latchman, H |
| author_sort | Kouvaritakis, B |
| collection | OXFORD |
| description | Earlier work on sector bounded nonlinear multivariable systems has provided dynamic performance bounds on system response, via an element-by-element L// infinity treatment. However, this approach relies on a stability criterion which is potentially conservative, since it ignores both frequency dependence and phase interrelationships. We use L//2 vector norms in conjunction with nonsimilarity scaling to retrieve this information, and hence to derive an improved stability condition. By the introduction of exponential weighting, it is shown that he L//2 stability result may be used to establish absolute bounds on system performance. |
| first_indexed | 2024-03-06T21:58:09Z |
| format | Journal article |
| id | oxford-uuid:4da8ab9c-e70f-45f7-8a0f-8ba6b86f5b97 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T21:58:09Z |
| publishDate | 1987 |
| record_format | dspace |
| spelling | oxford-uuid:4da8ab9c-e70f-45f7-8a0f-8ba6b86f5b972022-03-26T15:56:38ZSTABILITY AND DYNAMIC PERFORMANCE BOUNDS FOR NONLINEAR MULTIVARIABLE SYSTEMSJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:4da8ab9c-e70f-45f7-8a0f-8ba6b86f5b97EnglishSymplectic Elements at Oxford1987Kouvaritakis, BHarrison, RLatchman, HEarlier work on sector bounded nonlinear multivariable systems has provided dynamic performance bounds on system response, via an element-by-element L// infinity treatment. However, this approach relies on a stability criterion which is potentially conservative, since it ignores both frequency dependence and phase interrelationships. We use L//2 vector norms in conjunction with nonsimilarity scaling to retrieve this information, and hence to derive an improved stability condition. By the introduction of exponential weighting, it is shown that he L//2 stability result may be used to establish absolute bounds on system performance. |
| spellingShingle | Kouvaritakis, B Harrison, R Latchman, H STABILITY AND DYNAMIC PERFORMANCE BOUNDS FOR NONLINEAR MULTIVARIABLE SYSTEMS |
| title | STABILITY AND DYNAMIC PERFORMANCE BOUNDS FOR NONLINEAR MULTIVARIABLE SYSTEMS |
| title_full | STABILITY AND DYNAMIC PERFORMANCE BOUNDS FOR NONLINEAR MULTIVARIABLE SYSTEMS |
| title_fullStr | STABILITY AND DYNAMIC PERFORMANCE BOUNDS FOR NONLINEAR MULTIVARIABLE SYSTEMS |
| title_full_unstemmed | STABILITY AND DYNAMIC PERFORMANCE BOUNDS FOR NONLINEAR MULTIVARIABLE SYSTEMS |
| title_short | STABILITY AND DYNAMIC PERFORMANCE BOUNDS FOR NONLINEAR MULTIVARIABLE SYSTEMS |
| title_sort | stability and dynamic performance bounds for nonlinear multivariable systems |
| work_keys_str_mv | AT kouvaritakisb stabilityanddynamicperformanceboundsfornonlinearmultivariablesystems AT harrisonr stabilityanddynamicperformanceboundsfornonlinearmultivariablesystems AT latchmanh stabilityanddynamicperformanceboundsfornonlinearmultivariablesystems |