On the computation of lambda-contractive sets for linear constrained systems
We present two theoretical results on the computation of λ-contractive sets for linear systems with state and input constraints. First, we show that it is possible to a priori compute a number of iterations that is sufficient to approximate the maximal λ-contractive set with a given precision using...
| Main Authors: | , |
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| Format: | Journal article |
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IEEE
2016
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| _version_ | 1797104305288773632 |
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| author | Schulze Darup, M Cannon, M |
| author_facet | Schulze Darup, M Cannon, M |
| author_sort | Schulze Darup, M |
| collection | OXFORD |
| description | We present two theoretical results on the computation of λ-contractive sets for linear systems with state and input constraints. First, we show that it is possible to a priori compute a number of iterations that is sufficient to approximate the maximal λ-contractive set with a given precision using 1-step sets. Second, based on the former result, we provide a procedure for choosing λ so that the associated maximal λ-contractive set is guaranteed to approximate the maximal controlled invariant set with a given accuracy. |
| first_indexed | 2024-03-07T06:31:54Z |
| format | Journal article |
| id | oxford-uuid:f644e27e-d774-47c2-8081-d26458e2cf50 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T06:31:54Z |
| publishDate | 2016 |
| publisher | IEEE |
| record_format | dspace |
| spelling | oxford-uuid:f644e27e-d774-47c2-8081-d26458e2cf502022-03-27T12:33:54ZOn the computation of lambda-contractive sets for linear constrained systemsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:f644e27e-d774-47c2-8081-d26458e2cf50Symplectic Elements at OxfordIEEE2016Schulze Darup, MCannon, MWe present two theoretical results on the computation of λ-contractive sets for linear systems with state and input constraints. First, we show that it is possible to a priori compute a number of iterations that is sufficient to approximate the maximal λ-contractive set with a given precision using 1-step sets. Second, based on the former result, we provide a procedure for choosing λ so that the associated maximal λ-contractive set is guaranteed to approximate the maximal controlled invariant set with a given accuracy. |
| spellingShingle | Schulze Darup, M Cannon, M On the computation of lambda-contractive sets for linear constrained systems |
| title | On the computation of lambda-contractive sets for linear constrained systems |
| title_full | On the computation of lambda-contractive sets for linear constrained systems |
| title_fullStr | On the computation of lambda-contractive sets for linear constrained systems |
| title_full_unstemmed | On the computation of lambda-contractive sets for linear constrained systems |
| title_short | On the computation of lambda-contractive sets for linear constrained systems |
| title_sort | on the computation of lambda contractive sets for linear constrained systems |
| work_keys_str_mv | AT schulzedarupm onthecomputationoflambdacontractivesetsforlinearconstrainedsystems AT cannonm onthecomputationoflambdacontractivesetsforlinearconstrainedsystems |