A Control Lyapunov Function Approach to Event-Triggered Parameterized Control for Discrete-Time Linear Systems
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929597716627456 |
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| author | Rajan, Anusree Parmeshwar, Kushagra Tallapragada, Pavankumar |
| author_facet | Rajan, Anusree Parmeshwar, Kushagra Tallapragada, Pavankumar |
| contents | This paper proposes an event-triggered parameterized control method using a control Lyapunov function approach for discrete time linear systems with external disturbances. In this control method, each control input to the plant is a linear combination of a fixed set of linearly independent scalar functions. The controller updates the coefficients of the parameterized control input in an event-triggered manner so as to minimize a quadratic cost function subject to quadratic constraints and communicates the same to the actuator. We design an event-triggering rule that guarantees global uniform ultimate boundedness of trajectories of the closed loop system and non-trivial inter-event times. We illustrate our results through numerical examples and we also compare the performance of the proposed control method with other existing control methods in the literature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_12239 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Control Lyapunov Function Approach to Event-Triggered Parameterized Control for Discrete-Time Linear Systems Rajan, Anusree Parmeshwar, Kushagra Tallapragada, Pavankumar Optimization and Control Systems and Control This paper proposes an event-triggered parameterized control method using a control Lyapunov function approach for discrete time linear systems with external disturbances. In this control method, each control input to the plant is a linear combination of a fixed set of linearly independent scalar functions. The controller updates the coefficients of the parameterized control input in an event-triggered manner so as to minimize a quadratic cost function subject to quadratic constraints and communicates the same to the actuator. We design an event-triggering rule that guarantees global uniform ultimate boundedness of trajectories of the closed loop system and non-trivial inter-event times. We illustrate our results through numerical examples and we also compare the performance of the proposed control method with other existing control methods in the literature. |
| title | A Control Lyapunov Function Approach to Event-Triggered Parameterized Control for Discrete-Time Linear Systems |
| topic | Optimization and Control Systems and Control |
| url | https://arxiv.org/abs/2411.12239 |