Observer Design for Discrete-Time Nonlinear Systems Using the Stability Radii Theory
This brief proposes an approach for designing state observers for a class of discrete-time nonlinear systems. This brief involves the concepts of positivity and stability radii. The approach consists of applying the stability radii technique of discrete-time positive systems with time-varying nonlin...
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| Veröffentlicht in: | IEEE transactions on circuits and systems. II, Express briefs Express briefs, 2020-10, Vol.67 (10), p.1959-1963 |
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| container_end_page | 1963 |
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| container_issue | 10 |
| container_start_page | 1959 |
| container_title | IEEE transactions on circuits and systems. II, Express briefs |
| container_volume | 67 |
| creator | Aviles, Jesus D. Moreno, Jaime A. |
| description | This brief proposes an approach for designing state observers for a class of discrete-time nonlinear systems. This brief involves the concepts of positivity and stability radii. The approach consists of applying the stability radii technique of discrete-time positive systems with time-varying nonlinear functions in the estimation error dynamics to guarantee the exponential convergence property of the observer. The design conditions, only valid for Lipschitz-type nonlinearities, can be transformed in some situations into Linear Matrix Inequalities (LMIs). A numerical example is included to illustrate the effectiveness of the theoretical results. |
| doi_str_mv | 10.1109/TCSII.2019.2936900 |
| format | Article |
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A numerical example is included to illustrate the effectiveness of the theoretical results.</description><subject>Asymptotic stability</subject><subject>Circuit stability</subject><subject>Discrete time systems</subject><subject>discrete-time observers</subject><subject>Linear matrix inequalities</subject><subject>Linear systems</subject><subject>Mathematical analysis</subject><subject>Nonlinear systems</subject><subject>Observers</subject><subject>positive systems</subject><subject>Stability</subject><subject>Stability analysis</subject><subject>Stability radii</subject><subject>State observers</subject><issn>1549-7747</issn><issn>1558-3791</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNo9kE1PAjEQhhujiYj-Ab008bzYr6Xt0eAXCZFElnPT3c5CCexiW0z237sI8TTv4X1mMg9C95SMKCX6qZgsptMRI1SPmOZjTcgFGtA8VxmXml4es9CZlEJeo5sYN4QwTTgboGJeRgg_EPALRL9qcN320ccqQIKs8DvAn22z9Q3YgBddTLCLeBl9s8JpDXiRbOm3PnX4yzrvcbGGNnS36Kq22wh35zlEy7fXYvKRzebv08nzLKuYzlMmKiBCCrBM1U4pK4WjOcsJB0cd50Ir2X9EpahVaRWlXDPt6pKWzrqaOsmH6PG0dx_a7wPEZDbtITT9ScOEGJNcay76Fju1qtDGGKA2--B3NnSGEnO0Z_7smaM9c7bXQw8nyAPAP6AU0Upz_gumi2s3</recordid><startdate>20201001</startdate><enddate>20201001</enddate><creator>Aviles, Jesus D.</creator><creator>Moreno, Jaime A.</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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| ispartof | IEEE transactions on circuits and systems. II, Express briefs, 2020-10, Vol.67 (10), p.1959-1963 |
| issn | 1549-7747 1558-3791 |
| language | eng |
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| source | IEEE Electronic Library (IEL) |
| subjects | Asymptotic stability Circuit stability Discrete time systems discrete-time observers Linear matrix inequalities Linear systems Mathematical analysis Nonlinear systems Observers positive systems Stability Stability analysis Stability radii State observers |
| title | Observer Design for Discrete-Time Nonlinear Systems Using the Stability Radii Theory |
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