Exponential stability of nonlinear switched systems with hybrid delayed impulses

Chen, Xiaoying; Liu, Yang; Jiang, Bangxin; Lu, Jianquan

doi:10.1002/rnc.6547

Cited by 9 publications

(3 citation statements)

References 37 publications

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“…As a kind of typical hybrid systems, switched systems are very favorable because they can describe a large number of actual complex processes and provide relatively simple nonlinear control construction methods. Also, switched systems, described as a set of interconnected subsystems that are activated and deactivated by control signals from external sources 1 , have become a research hotspot in the field of automatic control 2,3,4,5,6,7 . Due to the important role in switched systems, switching rules have attracted the attention of many scholars 8,9,10,11 .…”

Section: Introductionmentioning

confidence: 99%

Adaptive Anti-disturbance Switching Control for Switched T-S Fuzzy Systems

Zhao

Gao

Sang

et al. 2023

Preprint

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In this paper, an adaptive anti-disturbance switching (AADS) control strategy is proposed for switched Takagi-Sugeno fuzzy systems (ST-SFSs) subject to multi-source disturbances. The disturbances consist of two parts: the available unmodeled disturbance and the disturbance modeled by dynamic neural network. Firstly, a novel adaptive disturbance observer is designed to approximate the dynamic neural network modeled disturbance. Secondly, the attenuation performance from the output to the available disturbance is analyzed by the L 2 gain index. Thirdly, a controller based on the adaptive disturbance observer is constructed for the ST-SFS under the average dwell time switching signal limitation. Further, under the designed adaptive disturbance observer, and the controller, a sufficient condition is established for the ST-SFS to realize multi-source disturbance suppression (DS). Finally, a mass-spring-damping simulation example is given to verify the rationality of the established AADS control scheme.

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Section: Introductionmentioning

confidence: 99%

Adaptive Anti-disturbance Switching Control for Switched T-S Fuzzy Systems

Zhao

Gao

Sang

et al. 2023

Preprint

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“…Milman and Myshkis conducted initial research on impulsive systems in 1960, 1 marking the genesis of exploration in this realm. Since then, considerable studies on the stability of systems with impulses have been carried out [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19] and several methods have been established to investigate impulsive systems including the impulse time window method 2,4 and B-equivalence method. [13][14][15] More recently, T-S fuzzy systems with impulse effects, namely, T-S fuzzy impulsive systems, have also been explored and their stability has been studied.…”

Section: Introductionmentioning

confidence: 99%

Stability analysis of nonlinear fuzzy hybrid control systems subject to saturation and delays via step‐function method

Qiu,

Li,

Qiu

2023

Intl J Robust & Nonlinear

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Within the framework of the step‐function method, the stability of a nonlinear fuzzy hybrid control system that incorporates both an impulsive controller and a continuous state feedback controller is investigated. Both the two controllers are assumed to be subject to both actuator saturation and time‐varying delays, which has been given scant attention, if any, in the existing studies. A new assumption is introduced in this article, thereby enabling the use of generalized sector conditions to tackle the double saturation, and the conservatism inherent in stability results is remarkably reduced owing to the improved step‐function approach employed. The stability theorem proposed in this article removes constraints imposed on the time delays of both controllers, which can be also applied to wider scopes of systems, encompassing hybrid control systems with both stabilizing and instabilizing impulses, systems with varying impulsive gain, and systems with Zeno behavior. Numerical simulations of stabilization for different systems by delayed saturated hybrid control have been conducted, which demonstrate the validity of the proposed theorems.

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“…Milman and Myshkis conducted initial research on impulsive systems in 1960. 1 Since then, considerable studies on the stability of systems with impulses have been carried out 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17 and several methods have been established to investigate impulsive systems including the impulse time window method 2,4 and B-equivalence method. 11,12,13 More recently, T-S fuzzy systems with impulse effects, namely, T-S fuzzy impulsive systems, have also been explored and their stability has been studied.…”

Section: Introductionmentioning

confidence: 99%

Stability analysis of nonlinear fuzzy hybrid control systems subject to saturation and delays via step-function method

Qiu

2023

Preprint

View full text Add to dashboard Cite

Under the framework of the step-function method, the stability of a nonlinear fuzzy hybrid control system combining an impulsive controller and a continuous state feedback controller is investigated. Both the two controllers are assumed to be subject to both actuator saturation and time-varying delays, which has received little attention if any, in the existing studies. A new assumption is established enabling the use of generalized sector conditions to tackle the double saturation, and the conservatism of the stability results is remarkably reduced thanks to the improved step-function method. The stability theorem proposed in this paper removes restriction on the time delays of both controllers, which can be also applied to wider scopes of systems, including hybrid control systems with both stabilizing and instabilizing impulses, systems with varying impulsive gain, and systems with Zeno behavior. Numerical simulations of stabilization for different systems by delayed saturated hybrid control have been conducted, which demonstrate the validity of proposed theorems.

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Exponential stability of nonlinear switched systems with hybrid delayed impulses

Cited by 9 publications

References 37 publications

Adaptive Anti-disturbance Switching Control for Switched T-S Fuzzy Systems

Adaptive Anti-disturbance Switching Control for Switched T-S Fuzzy Systems

Stability analysis of nonlinear fuzzy hybrid control systems subject to saturation and delays via step‐function method

Stability analysis of nonlinear fuzzy hybrid control systems subject to saturation and delays via step-function method

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