Sliding mode control using method of stable system centre for nonlinear systems with output delay

2003 ◽  
Author(s):  
Y.B. Shtessel ◽  
A.S.I. Zinober ◽  
I.A. Shkolnikov
Keyword(s):  
Nonlinear Systems ◽  
Sliding Mode Control ◽  
Sliding Mode ◽  
Stable System ◽  
Mode Control ◽  
Output Delay

Sliding Mode Control for Nonlinear Systems with Output Delay Via Method of Stable System Center*

2003 ◽  
Vol 125 (2) ◽  
pp. 253-257 ◽  
Author(s):  
Yuri B. Shtessel ◽  
Alan S. I. Zinober ◽  
Ilia A. Shkolnikov
Keyword(s):  
Nonlinear Systems ◽  
Sliding Mode Control ◽  
Sliding Mode ◽  
Stable System ◽  
Phase System ◽  
Minimum Phase ◽  
Tracking Problem ◽  
Output Tracking ◽  
Mode Control ◽  
State Tracking

Output tracking in causal nonlinear systems with an output time delay is considered using sliding mode control. The problem is reduced to that of the tracking of the output reference profile given by an exogenous system in a causal non-minimum phase system without delay, where the delay is being replaced by its Pade’ approximation. The non-minimum phase output-tracking problem is transformed to a corresponding state tracking problem. Bounded state tracking profiles are generated by equations of the stable system center. A sliding mode control algorithm is developed. A numerical example demonstrates the effectiveness of the sliding mode control design.

scholarly journals Observer-based adaptive neural network backstepping sliding mode control for switched fractional order uncertain nonlinear systems with unmeasured states

2021 ◽  
pp. 002029402110211
Author(s):  
Tao Chen ◽  
Damin Cao ◽  
Jiaxin Yuan ◽  
Hui Yang
Keyword(s):  
Neural Network ◽  
Nonlinear Systems ◽  
Sliding Mode Control ◽  
Fractional Order ◽  
Sliding Mode ◽  
Tracking Error ◽  
Adaptive Neural Network ◽  
Dynamic Surface ◽  
Mode Control ◽  
The Stability

This paper proposes an observer-based adaptive neural network backstepping sliding mode controller to ensure the stability of switched fractional order strict-feedback nonlinear systems in the presence of arbitrary switchings and unmeasured states. To avoid “explosion of complexity” and obtain fractional derivatives for virtual control functions continuously, the fractional order dynamic surface control (DSC) technology is introduced into the controller. An observer is used for states estimation of the fractional order systems. The sliding mode control technology is introduced to enhance robustness. The unknown nonlinear functions and uncertain disturbances are approximated by the radial basis function neural networks (RBFNNs). The stability of system is ensured by the constructed Lyapunov functions. The fractional adaptive laws are proposed to update uncertain parameters. The proposed controller can ensure convergence of the tracking error and all the states remain bounded in the closed-loop systems. Lastly, the feasibility of the proposed control method is proved by giving two examples.

Robust sliding mode control for a class of nonlinear systems using inertial delay control

2014 ◽  
Vol 78 (3) ◽  
pp. 1921-1932 ◽  
Author(s):  
Prasheel V. Suryawanshi ◽  
Pramod D. Shendge ◽  
S. B. Phadke
Keyword(s):  
Nonlinear Systems ◽  
Sliding Mode Control ◽  
Sliding Mode ◽  
Mode Control ◽  
Delay Control
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