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Robust ultimately boundedness control of uncertain delayed systems under time-varying reference and external
1Department of Electrical Engineering, Persian Gulf University, Bushehr, Iran.
ISA Transactions
|December 30, 2023
Summary
This study introduces a robust integral policy to ensure system stability and state boundedness despite time-varying references and disturbances in uncertain systems with delays. The new method outperforms traditional strategies in simulations.
Area of Science:
- Control Systems Engineering
- Systems Theory
- Applied Mathematics
Background:
- Asymptotic stability is lost in set-point following with time-varying references and disturbances.
- Ensuring state variable boundedness is critical for regulation under these conditions.
Purpose of the Study:
- To develop a robust integral policy for achieving control aims in uncertain systems with delays.
- To guarantee the boundedness of solutions in systems affected by time-varying references and disturbances.
Main Methods:
- A robust integral policy was systematically developed for uncertain equations with delay.
- Linear matrix inequality (LMI) was utilized to guarantee solution boundedness.
- Control law gains were computed via minimization.
Main Results:
- The proposed integral policy ensures state variable boundedness in the presence of perturbations and delays.
- Asymptotic stability can be deduced for nominal systems under this policy.
- Numerical simulations validated the effectiveness of the method.
Conclusions:
- The developed robust integral policy effectively addresses the loss of asymptotic stability in set-point following.
- The LMI-based approach provides a reliable guideline for boundedness in uncertain systems with delays.
- The proposed integral method demonstrates superior performance compared to traditional control strategies.
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