Estimation of reachable set for switched singular systems with time-varying delay and state jump

Feng, Zhiguang; Zhang, Xinyue; Lam, James; Fan, Chenchen

doi:10.1016/j.amc.2023.128132

Cited by 4 publications

(4 citation statements)

References 35 publications

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“…Limited by space, the method is also applicable under other disturbances such as w(t) ¼ sin(0.0005t) and w(t) ¼ sin(15t). Figures 8 and 9 show that the ORS obtained by Theorem 1 is more accurate than the ORS with the control method in Feng et al (2023). Obviously, the developed method of this paper is superior to the literature (Feng et al, 2023), which verifies the validity of the method.…”

Section: Exhibit Allmentioning

confidence: 59%

“…Therefore, the proposed PD-BT control scheme can estimate the ORS of the system more accurately while maintaining the stability of the system. Example 2: The modal evolution of system (8) is illustrated in Figure 6, we refer to the example data for Feng et al (2023):…”

Section: Simulation Examplementioning

confidence: 99%

“…Example 2: The modal evolution of system (8) is illustrated in Figure 6, we refer to the example data for Feng et al (2023): …”

Section: Simulation Examplementioning

confidence: 99%

“…According to Theorem 1, the controller gains are acquired as k p 1 = [73.5276 92.6695], k p 2 = [64.7107 79.8447], k d 1 = [–68.0707 –90.1770] and k d 2 = [–60.3628 –77.9190]. Moreover, the matrices associated with the ORS derived by using the strategies of Theorem 1 and Feng et al (2023) are listed in Table 2, respectively.…”

Section: Simulation Examplementioning

confidence: 99%

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Output reachable set synthesis for singular Markovian jump systems with time-varying delay: a PD bumpless transfer control scheme

Yin,

Zhang,

Zhao

2024

RIA

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Purpose This paper aims to study the issues of output reachable set estimation for the linear singular Markovian jump systems (SMJSs) with time-varying delay based on a proportional plus derivative (PD) bumpless transfer (BT) output feedback (OF) control scheme. Design/methodology/approach To begin with, a sufficient criterion is given in the form of a linear matrix inequality based on the Lyapunov stability theory. Then, a PD-BT OF controller is designed to keep all the output signs of the system are maintain within a predetermined ellipsoid. Finally, numerical and practical examples are used to demonstrate the efficiency of the approach. Findings Based on PD control and BT control method, an OF control strategy for the linear SMJSs with time-varying delay is proposed. Originality/value The output reachable set synthesis of linear SMJSs with time-varying delay can be solved by using the proposed approach. Besides, to obtain more general results, the restrictive assumptions of some parameters are removed. Furthermore, a sufficiently small ellipsoid can be obtained by the design scheme adopted in this paper, which reduces the conservatism of the existing results.

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Section: Exhibit Allmentioning

confidence: 59%

Section: Simulation Examplementioning

confidence: 99%

“…Example 2: The modal evolution of system (8) is illustrated in Figure 6, we refer to the example data for Feng et al (2023): …”

Section: Simulation Examplementioning

confidence: 99%

Section: Simulation Examplementioning

confidence: 99%

See 2 more Smart Citations

Output reachable set synthesis for singular Markovian jump systems with time-varying delay: a PD bumpless transfer control scheme

Yin,

Zhang,

Zhao

2024

RIA

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Estimation of real‐time reachable set on nonlinear time‐delay switched singular systems with state jump

Feng,

Zhang,

Liu

et al. 2024

Intl J Robust & Nonlinear

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This article addresses the real‐time reachable set problem on nonlinear time‐delay switched singular systems with state jump, which is subject to initial state and peak‐bound disturbance. Initially, based on the system state decomposition method, a state jump lemma is proposed, which combines the nonlinear function and the system state at the switching instant. Then, a real‐time bounded lemma is developed, premised on using the idea of average dwell‐time and analyzing subinterval function changes. Afterwards, the sufficient conditions for estimating the real‐time and nonreal‐time reachable set are established, which ensures that the reachable state of system can be restricted within a real‐time or nonreal‐time closed set. Finally, simulation results of the typical Direct Current boost chopper are performed to exhibit the effectiveness of the devised estimation scheme for the real‐time reachable set of system.

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Dynamic Event-Triggered Fusion Filtering for Multi-Sensor Rectangular Descriptor Systems With Random State Delay

Hu,

Luo,

Dong

et al. 2023

IEEE Trans. on Signal and Inf. Process. over Networks

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Estimation of reachable set for switched singular systems with time-varying delay and state jump

Cited by 4 publications

References 35 publications

Output reachable set synthesis for singular Markovian jump systems with time-varying delay: a PD bumpless transfer control scheme

Output reachable set synthesis for singular Markovian jump systems with time-varying delay: a PD bumpless transfer control scheme

Estimation of real‐time reachable set on nonlinear time‐delay switched singular systems with state jump

Dynamic Event-Triggered Fusion Filtering for Multi-Sensor Rectangular Descriptor Systems With Random State Delay

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