Finite-Time Vibration-Attenuation Controller Design for Structural Systems with Parameter Uncertainties

The problem of finite-time vibration-attenuation controller design for buildings structural systems with parameter uncertainties is the concern of this paper. The objective of designing controllers is to guarantee the finite-time stability of closed-loop systems with a prescribed level of disturbance attenuation. First, based on matrix transformation, the structural system is described as state-space model, which contains parameter uncertainties. Then, based on finite-time stability analysis method, some sufficient conditions for the existence of finite-time vibration-attenuation controllers are obtained. By solving these conditions, the desired controllers can be obtained for the closed-loop system to be finite-time stable with the performance ∥ z∥2 < γ∥ω∥2. It is shown by the simulation results, that compared with some Lyapunov asymptotic stability results, finite-time stability control can obtain better state responses, especially while the system is under nonzero initial states.

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Vibration-Attenuation Controller Design for Uncertain Mechanical Systems with Input Time Delay

Shock and Vibration ◽

10.1155/2016/9686358 ◽

2016 ◽

Vol 2016 ◽

pp. 1-7 ◽

Cited By ~ 1

Author(s):

Yuanchun Ding ◽

Falu Weng ◽

Xiaohua Jiang ◽

Minkang Tang

Keyword(s):

Closed Loop ◽

Controller Design ◽

State Space Model ◽

Mechanical Systems ◽

Sufficient Conditions ◽

Uncertain System ◽

Disturbance Attenuation ◽

System Model ◽

Closed Loop System ◽

Vibration Attenuation

The problems of vibration-attenuation controller design for uncertain mechanical systems with time-varying input delay are of concern in this paper. Firstly, based on matrix transformation, the mechanical system is described as a state-space model. Then, in terms of introducing the linear varying parameters, the uncertain system model is established. Secondly, the LMI-based sufficient conditions for the system to be stabilizable are deduced by utilizing the LMI technique. By solving the obtained LMIs, the controllers are achieved for the closed-loop system to be stable with a prescribed level of disturbance attenuation. Finally, numerical examples are given to show the effectiveness of the proposed theorems.

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Fault Tolerant Vibration-Attenuation Controller Design for Uncertain Linear Structural Systems with Input Time-Delay and Saturation

Shock and Vibration ◽

10.1155/2013/508238 ◽

2013 ◽

Vol 20 (5) ◽

pp. 963-977 ◽

Cited By ~ 4

Author(s):

Falu Weng ◽

Yuanchun Ding ◽

Liming Liang ◽

Guoliang Yang

Keyword(s):

Time Delay ◽

Closed Loop ◽

Controller Design ◽

Fault Tolerant ◽

Disturbance Attenuation ◽

Structural Systems ◽

Control Input ◽

Earthquake Excitation ◽

Vibration Attenuation ◽

Input Time

The problem of fault tolerant vibration-attenuation controller design for uncertain linear structural systems with control input time-delay and saturation is investigated in this paper. The objective of designing controllers is to guarantee the asymptotic stability of closed-loop systems while attenuate disturbance from earthquake excitation. Firstly, based on matrix transformation, the structural system is described as state-space model, which contains actuator fault, input signal time-delay and saturation at the same time. Based on the obtained model, an LMIs-based condition for the system to be stabilizable is deduced. By solving these LMIs, the controller is established for the closed-loop system to be stable with a prescribed level of disturbance attenuation. The condition is also extended to the uncertain case. Finally, an example is included to demonstrate the effectiveness of the proposed theorems.

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On necessary and sufficient conditions for output finite-time stability

Automatica ◽

10.1016/j.automatica.2020.109427 ◽

2021 ◽

Vol 125 ◽

pp. 109427

Author(s):

Konstantin Zimenko ◽

Denis Efimov ◽

Andrey Polyakov ◽

Artem Kremlev

Keyword(s):

Finite Time ◽

Sufficient Conditions ◽

Necessary And Sufficient Conditions ◽

Time Stability ◽

Finite Time Stability ◽

Necessary And Sufficient

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Finite-time Stability Analysis of Closed-loop Gate Drive for Silicon Carbide MOSFETs Switching Transient Modification

2021 4th International Conference on Energy, Electrical and Power Engineering (CEEPE) ◽

10.1109/ceepe51765.2021.9475813 ◽

2021 ◽

Author(s):

Tongkai Cui ◽

Yanrong Yuan ◽

Yu Pan ◽

Jian Sun ◽

Jingying Zhang ◽

...

Keyword(s):

Silicon Carbide ◽

Stability Analysis ◽

Finite Time ◽

Closed Loop ◽

Time Stability ◽

Finite Time Stability

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Finite-TimeH∞Control for Time-Delayed Stochastic Systems with Markovian Switching

Abstract and Applied Analysis ◽

10.1155/2014/809290 ◽

2014 ◽

Vol 2014 ◽

pp. 1-10 ◽

Cited By ~ 2

Author(s):

Wenhua Gao ◽

Feiqi Deng ◽

Ruiqiu Zhang ◽

Wenhui Liu

Keyword(s):

Finite Time ◽

State Feedback ◽

Stochastic Systems ◽

Sufficient Conditions ◽

Markovian Switching ◽

Time Stability ◽

Finite Time Stability ◽

Weighting Matrix ◽

Simulation Results ◽

Dependent State

This paper studies the problem of finite-timeH∞control for time-delayed Itô stochastic systems with Markovian switching. By using the appropriate Lyapunov-Krasovskii functional and free-weighting matrix techniques, some sufficient conditions of finite-time stability for time-delayed stochastic systems with Markovian switching are proposed. Based on constructing new Lyapunov-Krasovskii functional, the mode-dependent state feedback controller for the finite-timeH∞control is obtained. Simulation results illustrate the effectiveness of the proposed method.

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Finite-time dissipative control for networked control systems with hybrid-triggered scheme

Transactions of the Institute of Measurement and Control ◽

10.1177/0142331220946509 ◽

2020 ◽

pp. 014233122094650

Author(s):

Qian Zhang ◽

Huaicheng Yan ◽

Shiming Chen ◽

Xisheng Zhan ◽

Xiaowei Jiang

Keyword(s):

Control Systems ◽

Finite Time ◽

Closed Loop ◽

Controller Design ◽

Networked Control Systems ◽

Sufficient Conditions ◽

Networked Control ◽

Closed Loop System ◽

Network Resources ◽

Dissipative Control

This paper is concerned with the problem of finite-time dissipative control for networked control systems by hybrid triggered scheme. In order to save network resources, a hybrid triggered scheme is proposed, which consists of time-triggered scheme and event-triggered scheme simultaneously. Firstly, sufficient conditions are derived to guarantee that the closed-loop system is finite-time bounded (FTBD) and [Formula: see text] dissipative. Secondly, the corresponding controller design approach is presented based on the derived conditions. Finally, a numerical example is presented to show the effectiveness of the proposed approach.

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Finite-Time Synchronization of Complex Dynamical Networks with Time-Varying Delays and Nonidentical Nodes

Journal of Control Science and Engineering ◽

10.1155/2017/5072308 ◽

2017 ◽

Vol 2017 ◽

pp. 1-13 ◽

Cited By ~ 4

Author(s):

Ahmadjan Muhammadhaji ◽

Abdujelil Abdurahman ◽

Haijun Jiang

Keyword(s):

Complex Networks ◽

Finite Time ◽

Time Synchronization ◽

Sufficient Conditions ◽

Time Stability ◽

Finite Time Stability ◽

Uniformly Smooth ◽

Nonidentical Nodes ◽

Smooth State ◽

Synchronization Performance

In this paper, we investigated the finite-time synchronization (FTS) problem for a class of time-delayed complex networks with nonidentical nodes onto any uniformly smooth state. By employing the finite-time stability theorem and designing two types of novel controllers, we obtained some simple sufficient conditions for the FTS of addressed complex networks. Furthermore, we also analyzed the effects of control variables on synchronization performance. Finally, we showed the effectiveness and feasibility of our methods by giving two numerical examples.

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L2 norm-based finite-time stability and boundedness of singular distributed parameter systems with parabolic type

Proceedings of the Institution of Mechanical Engineers Part I Journal of Systems and Control Engineering ◽

10.1177/0959651820966892 ◽

2020 ◽

pp. 095965182096689

Author(s):

Xingyu Zhou ◽

Haoping Wang ◽

Yang Tian

Keyword(s):

Finite Time ◽

Sufficient Conditions ◽

Parabolic Type ◽

Distributed Parameter Systems ◽

Temperature Control System ◽

Linear Matrix ◽

Distributed Parameter ◽

Time Stability ◽

Finite Time Stability ◽

L2 Norm

In this study, the problem of finite-time stability and boundedness for parabolic singular distributed parameter systems in the sense of [Formula: see text] norm is investigated. First, two new results on [Formula: see text] norm-based finite-time stability and finite-time boundedness for above-mentioned systems, inspired by the light of partial differential equations theory and Lyapunov functional method, are presented. Then, some sufficient conditions of [Formula: see text] norm-based finite-time stability and boundedness are established by virtue of differential inequalities and linear matrix inequalities. Furthermore, the distributed state feedback controllers are constructed to guarantee the [Formula: see text] norm-based finite-time stable and bounded of the closed-loop singular distributed parameter systems. Finally, numerical simulations on a specific numerical example and the building temperature control system equipped with air conditioning are given to demonstrate the validity of the proposed methods.

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Finite-time stability and finite-time boundedness of fractional order switched systems

Transactions of the Institute of Measurement and Control ◽

10.1177/0142331219826333 ◽

2019 ◽

Vol 41 (12) ◽

pp. 3364-3371 ◽

Cited By ~ 7

Author(s):

Jinxia Liang ◽

Baowei Wu ◽

Lili Liu ◽

Yue-E Wang ◽

Changtao Li

Keyword(s):

Fractional Order ◽

Finite Time ◽

Switched Systems ◽

Sufficient Conditions ◽

Average Dwell Time ◽

Functional Method ◽

Linear Matrix ◽

Time Stability ◽

Finite Time Stability ◽

Finite Time Boundedness

Finite-time stability and finite-time boundedness of fractional order switched systems with [Formula: see text] are investigated in this paper. First of all, by employing the average dwell time technique and Lyapunov functional method, some sufficient conditions for finite-time stability and finite-time boundedness of fractional order switched systems are proposed. Furthermore, the state feedback controllers are constructed, and sufficient conditions are given to ensure that the corresponding closed-loop systems are finite-time stable and finite-time bounded. These conditions can be easily obtained in terms of linear matrix inequalities. Finally, two numerical examples are given to show the effectiveness of the results.

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