Improved Non-Fragile State Feedback Control for Stochastic Jump Systems With Uncertain Parameters and Mode-Dependent Time-Varying Delays

Ma, Kun; Zhuang, Guangming; Zhang, Huasheng; Zhao, Guowei; Lin, Yuqian; Wang, Jie

doi:10.1109/access.2020.2996756

Cited by 2 publications

(2 citation statements)

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“…In contrast to conventional state space representation, singular systems describe the practical demonstration of real-world applications which include large-scale systems, electric power systems, and economic systems. Singular systems are also known as descriptor systems whose dynamic part is represented by differential equations and relationships between different sections of the systems are described by algebraic equations [1]- [3].…”

Section: Introductionmentioning

confidence: 99%

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Event-Triggered Dissipative Observer-Based Control for Delay Dependent T–S Fuzzy Singular Systems

Ullah

Aslam

et al. 2020

IEEE Access

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This paper investigates the problem of event-triggered dissipative observer-based output feedback control for a class of Takagi-Sugeno (T-S) fuzzy singular systems with unavailable states, timevarying delays, and imprecise membership functions. The considered singular system is presented as a T-S fuzzy singular system which gives a more realistic presentation for a variety of non-linear dynamical systems than conventional state space representation. The general framework we designed is based on a fuzzy observer-based controller with time varying delay along with extended dissipativity, which provides the H ∞ , L 2-L ∞ and dissipative performance indices and is robust against the disturbances and time-varying delay. Moreover, a novel Lyapunov-Krasovskii functional is adopted to analyze the closed loop stability of the fuzzy system. The solvability of Lyapunov-Krasovskii functional results in the formation of linear matrix inequalities. The controller and observer gains can be obtained by solving the linear matrix inequalities. Simulations are performed to validate the proposed scheme. INDEX TERMS T-S fuzzy singular systems, Fuzzy Lyapunov-Krasovskii functionals, Time-varying delay, linear matrix inequalities (LMIs).

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Section: Introductionmentioning

confidence: 99%

“…Let x 1 = s and x 2 =ṡ. Then from (40), we have −0.67x3 1+ 0.5x 1 + 0.75x 2 + (0.5 + 0.1x 2 1 )ω +(1 − 0.1x 2 2 )u z = x 2 (t) + 0.5u(41) For the system (41), consider the operational range, = x :| x 1 |≤ 1.5, | x 2 |≤ 2.5. By choosing the premise variable as χ = x 1 and the universe of discourse as χ = χ :| χ |≤ 1.5.…”

mentioning

confidence: 99%

Event-Triggered Dissipative Observer-Based Control for Delay Dependent T–S Fuzzy Singular Systems

Ullah

Aslam

et al. 2020

IEEE Access

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Multi-Objective Non-Fragile Robust Attitude Control for Flexible Microsatellite Close-Proximity Inspection

2021

IEEE Access

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In this paper, the non-fragile robust attitude control problem is investigated for flexible microsatellite close-proximity inspection, with external disturbances, parameter uncertainties and input constraints. Firstly, the attitude motion model of microsatellite with flexible appendages is established. Secondly, a non-fragile robust dynamic output feedback controller (RDOFC) with multiplicative gain variations (MGV) is designed to satisfy the multi-objective requirements, including pole assignment, H ∞ disturbances attenuation and input constraints. Based on the Lyapunov stability theory, the design of the non-fragile robust H ∞ attitude control is formulated as the linear matrix inequality (LMI) condition. Finally, numerical simulations are performed to demonstrate the effectiveness of the proposed controller.INDEX TERMS Attitude control, non-fragile H ∞ , flexible microsatellite, multi-objective , dynamic output feedback.

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Improved Non-Fragile State Feedback Control for Stochastic Jump Systems With Uncertain Parameters and Mode-Dependent Time-Varying Delays

Cited by 2 publications

References 58 publications

Event-Triggered Dissipative Observer-Based Control for Delay Dependent T–S Fuzzy Singular Systems

Event-Triggered Dissipative Observer-Based Control for Delay Dependent T–S Fuzzy Singular Systems

Multi-Objective Non-Fragile Robust Attitude Control for Flexible Microsatellite Close-Proximity Inspection

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