2017
DOI: 10.1002/oca.2326
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Secondary delay‐partition approach on robust performance analysis for uncertain time‐varying Lurie nonlinear control system

Abstract: Summary This paper investigates the problem of robust performance analysis for Lurie nonlinear control system with parameter uncertainties and interval time‐varying delays. Based on an augmented Lyapunov‐Krasovskii functional including multiple integral terms, new delay‐dependent robust stability criteria are derived by proposing a novel secondary delay‐partition approach. Moreover, to obtain less conservative stability conditions, an optimized integral inequality is developed by introducing an adjustable para… Show more

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Cited by 74 publications
(22 citation statements)
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“…To more thoroughly compare the properties of the AGOA and the original GOA, a scalability evaluation is conducted, which can help us measure the solution's stability and accuracy and the efficiency of the optimization technique when the dimensions differ.A well-designed model's stability analysis should yield high-quality results for lower dimensions and problems with many variables [15], [78], [79]. This higher-scale analysis can reveal how the proposed model's behavior and methods change [80]- [82].…”
Section: ) the Scalability Test For The Agoamentioning
confidence: 99%
“…To more thoroughly compare the properties of the AGOA and the original GOA, a scalability evaluation is conducted, which can help us measure the solution's stability and accuracy and the efficiency of the optimization technique when the dimensions differ.A well-designed model's stability analysis should yield high-quality results for lower dimensions and problems with many variables [15], [78], [79]. This higher-scale analysis can reveal how the proposed model's behavior and methods change [80]- [82].…”
Section: ) the Scalability Test For The Agoamentioning
confidence: 99%
“…Nowadays, attention to robust approaches in nonlinear, uncertain, and disturbed systems in various applications has increased dramatically (Shi et al, 2017;Wang, Zhu, et al, 2020;Wu et al, 2019;Xiong et al, 2016;Yu et al, 2020;Zhu et al, 2020). In the case of multi-agent systems, typical shared overall behaviours under cooperative control contain consensus (Chen et al, 2016;Feng et al, 2016;Hu et al, 2016;Wen et al, 2014), synchronization (Arenas et al, 2008;Lü et al, 2004;Pecora & Carroll, 1998), flocking…”
Section: Introductionmentioning
confidence: 99%
“…Given the importance of robust control approaches in various applications (Chen et al, 2020;Shi et al, 2017;Wang et al, 2021;Xiong et al, 2016;Yu et al, 2020;Zhang et al, 2018;Zhu et al, 2020), this paper presents a novel finite-time adaptive sliding mode control scheme for surge instability in the compressor system, in which the adaptive approach is used to estimate the uncertainties associated with the compressor characteristic curve and throttle valve. Our proposed method takes into account the upper bound of uncertainty, as well as the upper bounds of pressure-and flow-related disturbances.…”
Section: Introductionmentioning
confidence: 99%