Observer-based finite-time consensus for double integrator systems with time varying disturbances by sliding mode control

In this paper, a class of observer-based sliding mode controller is designed, and the finite-time H∞ control problem of uncertain T-S fuzzy systems with time-varying is studied. Firstly, an integral-type sliding surface function with time-delay is devised based on the state estimator, and sufficient criteria of finite-time bounded and finite-time H∞ bounded can be obtained for the T-S systems. Moreover, the proposed sliding mode control law is integrated to ensure the dynamics of controlled system into the sliding surface in a finite-time interval. Then, according to the linear matrix inequalities (LMIs), the desired gain matrices of fuzzy sliding mode controller and state estimator are derived. Finally, effectiveness gives some illustrative examples may be used to display the value of the current proposed method as well as a significant improvement.

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Finite‐time and fixed‐time sliding mode control for discontinuous nonidentical recurrent neural networks with time‐varying delays

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.5875 ◽

2021 ◽

Author(s):

Chaouki Aouiti ◽

Mayssa Bessifi

Keyword(s):

Neural Networks ◽

Sliding Mode Control ◽

Recurrent Neural Networks ◽

Finite Time ◽

Sliding Mode ◽

Fixed Time ◽

Time Varying ◽

Mode Control

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Finite-Time Reentry Attitude Control Using Time-Varying Sliding Mode and Disturbance Observer

Mathematical Problems in Engineering ◽

10.1155/2015/262753 ◽

2015 ◽

Vol 2015 ◽

pp. 1-19 ◽

Cited By ~ 4

Author(s):

Xuzhong Wu ◽

Shengjing Tang ◽

Jie Guo ◽

Yao Zhang

Keyword(s):

Sliding Mode Control ◽

Finite Time ◽

Attitude Control ◽

Disturbance Observer ◽

Control Method ◽

Sliding Mode ◽

Time Varying ◽

Control Methods ◽

Mode Control ◽

Attitude Controller

This paper presents the finite-time attitude control problem for reentry vehicle with redundant actuators in consideration of planet uncertainties and external disturbances. Firstly, feedback linearization technique is used to cancel the nonlinearities of equations of motion to construct a basic mode for attitude controller. Secondly, two kinds of time-varying sliding mode control methods with disturbance observer are integrated with the basic mode in order to enhance the control performance and system robustness. One method is designed based on boundary layer technique and the other is a novel second-order sliding model control method. The finite-time stability analyses of both resultant closed-loop systems are carried out. Furthermore, after attitude controller produces the torque commands, an optimization control allocation approach is introduced to allocate them into aerodynamic surface deflections and on-off reaction control system thrusts. Finally, the numerical simulation results demonstrate that both of the time-varying sliding mode control methods are robust to uncertainties and disturbances without chattering phenomenon. Moreover, the proposed second-order sliding mode control method possesses better control accuracy.

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