LPRS Analysis of Singularly Perturbed Sliding Mode Control Systems
In this article, we examine singularly perturbed sliding mode (SPSM) control systems with linear plants using the Locus of a Perturbed Relay System (LPRS) method. We derive necessary conditions for the existence of chattering, which depend on both the singular perturbation parameter and the plant dy...
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| Veröffentlicht in: | IEEE transactions on automatic control 2024-10, Vol.69 (10), p.7081-7087 |
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| container_title | IEEE transactions on automatic control |
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| creator | Aljaberi, Saeed M. Boiko, Igor |
| description | In this article, we examine singularly perturbed sliding mode (SPSM) control systems with linear plants using the Locus of a Perturbed Relay System (LPRS) method. We derive necessary conditions for the existence of chattering, which depend on both the singular perturbation parameter and the plant dynamics. Moreover, concerning the singular perturbation parameter and plant dynamics, we demonstrate that the model of the averaged or slow motions in an SPSM system is of reduced order if an ideal sliding mode takes place and nonreduced if chattering occurs. Finally, starting from the definition of the LPRS, we derive first-order approximations of the chattering frequency and period, as well as the equivalent gain of the relay. The results are illustrated and applied on first- and second-order systems, as well as an example of a dc motor connected to a dynamic sensor. |
| doi_str_mv | 10.1109/TAC.2024.3392031 |
| format | Article |
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The results are illustrated and applied on first- and second-order systems, as well as an example of a dc motor connected to a dynamic sensor.</description><subject>Actuators</subject><subject>Aerodynamics</subject><subject>Chattering</subject><subject>Control systems</subject><subject>discontinuous control</subject><subject>frequency-domain analysis</subject><subject>Oscillators</subject><subject>Parameters</subject><subject>Perturbation methods</subject><subject>Plant layout</subject><subject>Power system dynamics</subject><subject>Reduced order models</subject><subject>Relay systems</subject><subject>Relays</subject><subject>Robot sensing systems</subject><subject>Singular perturbation</subject><subject>Sliding mode control</subject><issn>0018-9286</issn><issn>1558-2523</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNpNkDFPwzAQRi0EEqWwMzBYYk6xfbFjjyWigFRERcpsubGDUqV1sZMh_x5X7cB0utP7Tp8eQveUzCgl6mk9L2eMsHwGoBgBeoEmlHOZMc7gEk0IoTJTTIprdBPjNq0iz-kEPS9XXxWe7003xjZi3-Cq3f8MnQndiFcu9EPYOIurrrXpjj-8dbj0-z74Dldj7N0u3qKrxnTR3Z3nFH0vXtblW7b8fH0v58usZjnvM8GsBFswqBlYVRfKSlM0xYYYYDanYEwBTgjLlZPKpO7WCgvcUJvXRCmAKXo8_T0E_zu42OutH0JqHjUkBXlRCCoTRU5UHXyMwTX6ENqdCaOmRB9N6WRKH03ps6kUeThFWufcP5wTwQHgD1P6YxE</recordid><startdate>20241001</startdate><enddate>20241001</enddate><creator>Aljaberi, Saeed M.</creator><creator>Boiko, Igor</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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| subjects | Actuators Aerodynamics Chattering Control systems discontinuous control frequency-domain analysis Oscillators Parameters Perturbation methods Plant layout Power system dynamics Reduced order models Relay systems Relays Robot sensing systems Singular perturbation Sliding mode control |
| title | LPRS Analysis of Singularly Perturbed Sliding Mode Control Systems |
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