Reachable set estimation and synthesis for semi-Markov jump systems

Ma, Xiaoqian; Zhang, Yueyuan; Huang, Jun

doi:10.1016/j.ins.2022.07.069

Cited by 7 publications

(2 citation statements)

References 33 publications

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“…More recently, Zhang et al investigated the reachable set estimation for uncertain nonlinear systems with time delay [27]. For more references and recent advances in reachable set estimation, one can refer to [29][30][31][32]. The key point of the reachable set estimation is the choice of Lyapunov functional.…”

Section: Of 10mentioning

confidence: 99%

Reachable Set Estimation and Controller Design for Linear Time-Delayed Control System with Disturbances

Jiang,

Yang,

Ivanov

2023

Preprint

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This paper investigates reachable set estimation and state-feedback controller design for linear time-delay control system with bounded disturbances. First, by constructing an appropriate Lyapunov-Krasovskii functional, we obtained a delay-dependent condition, which determed the admissible bounding ellipsoid for the reachable set of the system we considered. Then, a sufficient condition in form of liner matrix inequalities is given to solve the problem of controller design with reachable set estimation. Finally, by minimizing the volume of the ellipsoid and solving the liner matrix inequality, we obtain the desired ellipsoid and controller gain. A comparative numerical example is given to verify the usefulness of our result.

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Section: Of 10mentioning

confidence: 99%

Reachable Set Estimation and Controller Design for Linear Time-Delayed Control System with Disturbances

Jiang,

Yang,

Ivanov

2023

Preprint

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show abstract

Section: Introductionmentioning

confidence: 99%

Reachable Set Estimation and Controller Design for Linear Time-Delayed Control System with Disturbances

Jiang,

Yang,

Ivanov

2024

Mathematics

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This paper investigates reachable set estimation and state-feedback controller design for linear time-delay control systems with bounded disturbances. By constructing an appropriate Lyapunov–Krasovskii functional, we obtain a delay-dependent condition, which determines the admissible bounding ellipsoid for the reachable set of the system we considered. Then, a sufficient condition in the form of liner matrix inequalities is given to solve the problem of controller design and reachable set estimation. Then, by minimizing the volume of the ellipsoid and solving the liner matrix inequality, we obtain the desired ellipsoid and controller gain. A comparative numerical example is given to show the effectiveness of our result.

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