A new LMI-based robust finite-time sliding mode control strategy for a class of uncertain nonlinear systems

Mobayen, Saleh; Tchier, Fairouz

doi:10.14736/kyb-2015-6-1035

Cited by 18 publications

(18 citation statements)

References 28 publications

(32 reference statements)

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“…A chaotic system is an extremely complex nonlinear dynamical system [1][2][3][4]. The important characteristic of chaotic systems is their high sensitivity to initial conditions and parametric uncertainties [5][6][7][8]. The synchronization of dynamics of the coupled chaotic systems is an important phenomenon displayed in many scientific structures [9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Synchronization of A Class of Uncertain Chaotic Systems with Lipschitz Nonlinearities Using State‐Feedback Control Design: A Matrix Inequality Approach

Mobayen

Tchier

2017

Asian Journal of Control

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This paper proposes a new state-feedback stabilization control technique for a class of uncertain chaotic systems with Lipschitz nonlinearity conditions. Based on Lyapunov stabilization theory and the linear matrix inequality (LMI) scheme, a new sufficient condition formulated in the form of LMIs is created for the chaos synchronization of chaotic systems with parametric uncertainties and external disturbances on the slave system. Using Barbalat's lemma, the suggested approach guarantees that the slave system synchronizes to the master system at an asymptotical convergence rate. Meanwhile, a criterion to find the proper feedback gain vector F is also provided. A new continuous-bounded nonlinear function is introduced to cope with the disturbances and uncertainties and obtain a desired control performance, i.e. small steady-state error and fast settling time. Several criteria are derived to guarantee the asymptotic and robust stability of the uncertain master-slave systems. Furthermore, the proposed controller is independent of the order of the system's model. Numerical simulation results are displayed with an expected satisfactory performance compared to the available methods.

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Section: Introductionmentioning

confidence: 99%

Synchronization of A Class of Uncertain Chaotic Systems with Lipschitz Nonlinearities Using State‐Feedback Control Design: A Matrix Inequality Approach

Mobayen

Tchier

2017

Asian Journal of Control

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“…Huang and Xiang 22 was concerned with the problem of finite-time stabilization for switched stochastic nonlinear systems with mixed odd and even powers. What is important is that sliding mode control strategy was introduced in other works [23][24][25] to solve finite-time control in the presence of uncertain parameters and disturbances. Readers can also consult other elegant studies [26][27][28][29][30][31][32][33][34][35][36][37][38] Compared with the asymptotic one, the FTC usually exhibits some distinct features which are important for demanding applications, such as fast response, higher control accuracy, and better robustness to uncertainties.…”

Section: Introductionmentioning

confidence: 99%

Disturbance attenuation with fast global finite‐time convergence for generalized high‐order uncertain nonlinear systems

Sun

Wang

Chen

et al. 2019

Intl J Robust & Nonlinear

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Summary This paper focuses on the problem of disturbance attenuation with fast global finite‐time convergence (FTC) for a class of generalized high‐order uncertain nonlinear systems. Combining the fast finite‐time stabilization technique with a delicate manipulation of sign functions, a new control approach is proposed to attenuate the serious uncertainties substantially, including time‐varying control coefficients, nonlinear parameters, and external disturbances, while achieving the performance evaluated in terms of L2‐L2p gain. A notable feature of the control strategy is the fast FTC, which greatly shortens the convergent time when the initial state is far away from the origin. A numerical example is provided to demonstrate the effectiveness of the proposed method.

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“…However, the dynamical dynamics cannot be guaranteed by the sliding mode method in practical applications. [31][32][33][34] The applications of sliding mode control are limited. However, the proposed controller is able to achieve the robustness of the closed-loop control system against multiple uncertainties without chattering problem.…”

Section: Introductionmentioning

confidence: 99%

Robust attitude control for tail‐sitter unmanned aerial vehicles in flight mode transitions

Liu

et al. 2018

Intl J Robust & Nonlinear

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Tail-sitter unmanned aerial vehicles (UAVs) can flight as rotorcrafts as well as fixed-wing aircrafts, but it is hard to control the flight mode transition. The vehicle dynamics involves serious parametric uncertainties, highly nonlinear dynamics, and is easy to be affected by external disturbances, especially during the mode transition. This paper presents a robust control method for a kind of tail-sitter UAVs to achieve the flight mode transition. The robust controller is proposed based on the state-feedback control scheme and the robust compensation method. The proposed control method does not need to switch the coordinate system, the controller structure, or the controller parameters during the mode transitions. Theoretical analysis is given to guarantee the robustness stability of the designed flight control system. Numerical simulation results are presented to show the advantages of the proposed control method compared with the state-feedback control method and the sliding mode control approach. KEYWORDSnonlinear system, robust control, tail-sitter aerial vehicle, uncertain system 1132

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A new LMI-based robust finite-time sliding mode control strategy for a class of uncertain nonlinear systems

Cited by 18 publications

References 28 publications

Synchronization of A Class of Uncertain Chaotic Systems with Lipschitz Nonlinearities Using State‐Feedback Control Design: A Matrix Inequality Approach

Synchronization of A Class of Uncertain Chaotic Systems with Lipschitz Nonlinearities Using State‐Feedback Control Design: A Matrix Inequality Approach

Disturbance attenuation with fast global finite‐time convergence for generalized high‐order uncertain nonlinear systems

Robust attitude control for tail‐sitter unmanned aerial vehicles in flight mode transitions

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