Event-Triggered Parameterized Control of Nonlinear Systems
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916308400996352 |
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| author | Rajan, Anusree Tallapragada, Pavankumar |
| author_facet | Rajan, Anusree Tallapragada, Pavankumar |
| contents | This paper deals with event-triggered parameterized control (ETPC) of nonlinear systems with external disturbances. In this control method, between two successive events, each control input to the plant is a linear combination of a set of linearly independent scalar functions. At each event, the controller updates the coefficients of the parameterized control input so as to minimize the error in approximating a continuous time control signal and communicates the same to the actuator. We design an event-triggering rule (ETR) that guarantees global uniform ultimate boundedness of trajectories of the closed loop system. We also ensure the absence of Zeno behavior by showing the existence of a uniform positive lower bound on the inter-event times (IETs). We illustrate our results through numerical examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_16337 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Event-Triggered Parameterized Control of Nonlinear Systems Rajan, Anusree Tallapragada, Pavankumar Optimization and Control Systems and Control This paper deals with event-triggered parameterized control (ETPC) of nonlinear systems with external disturbances. In this control method, between two successive events, each control input to the plant is a linear combination of a set of linearly independent scalar functions. At each event, the controller updates the coefficients of the parameterized control input so as to minimize the error in approximating a continuous time control signal and communicates the same to the actuator. We design an event-triggering rule (ETR) that guarantees global uniform ultimate boundedness of trajectories of the closed loop system. We also ensure the absence of Zeno behavior by showing the existence of a uniform positive lower bound on the inter-event times (IETs). We illustrate our results through numerical examples. |
| title | Event-Triggered Parameterized Control of Nonlinear Systems |
| topic | Optimization and Control Systems and Control |
| url | https://arxiv.org/abs/2402.16337 |