scholarly journals Observer-Based Sliding Mode Control for Stabilization of a Dynamic System with Delayed Output Feedback

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Bo Wang ◽  
Peng Shi ◽  
Hamid Reza Karimi ◽  
Cheng Chew Lim
Keyword(s):  
Sliding Mode Control ◽  
Output Feedback ◽  
Control Method ◽  
Sliding Mode ◽  
Lyapunov Stability Theory ◽  
Delay System ◽  
Linear Matrix ◽  
Mode Control ◽  
Inequality Technique ◽  
Integral Sliding Surface

This paper considers the sliding mode control problem for a kind of dynamic delay system. First by utilizing Lyapunov stability theory and a linear matrix inequality technique, an observer based on delayed output feedback is constructed. Then, an integral sliding surface is presented to realize the sliding mode control for the system with the more available stability condition. Finally, some numerical simulations are implemented to demonstrate the validity of the proposed control method.

Nonlinear observer based sliding mode control and oxygen fraction estimation for diesel engine

2017 ◽  
Vol 40 (7) ◽  
pp. 2227-2239 ◽  
Author(s):  
Haoping Wang ◽  
Qiankun Qu ◽  
Yang Tian
Keyword(s):  
Diesel Engine ◽  
Sliding Mode Control ◽  
Oxygen Concentration ◽  
Control Method ◽  
Sliding Mode ◽  
Observer Design ◽  
Nonlinear Observer ◽  
Linear Matrix ◽  
Model Based ◽  
Mode Control

In this paper, a nonlinear observer based sliding mode control (NOSMC) approach for air-path and a model-based observer for oxygen concentration in the diesel engine equipped with a variable geometry turbocharger and exhaust gas recirculation is introduced. We propose a less conservative observer design technique for Lipschitz nonlinear systems using Ricatti equations. The observer gains are obtained by solving the linear matrix inequality (LMI). Then a robust nonlinear control method, sliding mode control is applied for the states of intake and exhaust manifold pressure and compressor mass flow rate for the sake of the minimization of emissions. The proposed NOSMC controller is applied on a mean value model of turbocharged diesel engine. Besides this, a model-based observer is developed to estimate the oxygen concentration in the intake and exhaust manifolds owing to its significance in reducing emissions of diesel engines. The validation and efficiency of the proposed method are demonstrated by AMESim and Matlab/Simulink co-simulation results.

New results on robust sliding mode control for linear time-delay systems

2020 ◽  
Author(s):  
Jothiappan Palraj ◽  
Kalidass Mathiyalagan ◽  
Peng Shi
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Linear Time ◽  
Lyapunov Stability Theory ◽  
Delay Systems ◽  
Linear Matrix ◽  
Switching Surface ◽  
Mode Control ◽  
Short Time ◽  
Robust Asymptotic Stability

Abstract This work focuses on the sliding mode control (SMC) for a family of linear systems with uncertainties and time-varying delays. First, an integral switching surface is constructed to verify the robust asymptotic stability of the considered system and the results are extended to analyse the mixed $\mathscr{H}_{\infty }\big /$Passivity performance index. Thereafter, a suitable SMC law is developed to force the system state onto the predefined switching surface in short time. By using Lyapunov stability theory, some novel results are obtained, and the required stability conditions are established in terms of linear matrix inequalities which can be solved by standard Matlab toolbox. Finally, the results are validated over a Chua’s circuit model, which describes the practical application of the developed results.

scholarly journals Adaptive Sliding Mode Control for a Class of Manipulator Systems with Output Constraint

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-7
Author(s):  
Guangshi Li
Keyword(s):  
Sliding Mode Control ◽  
Control Method ◽  
Sliding Mode ◽  
Tracking Error ◽  
Lyapunov Stability Theory ◽  
Adaptive Sliding Mode Control ◽  
Compact Set ◽  
Adaptive Sliding Mode ◽  
Mode Control ◽  
System Output

In this paper, an adaptive sliding mode control method based on neural networks is presented for a class of manipulator systems. The main characteristic of the discussed system is that the output variable is required to keep within a constraint set. In order to ensure that the system output meets the time-varying constraint condition, the asymmetric barrier Lyapunov function is selected in the design process. According to Lyapunov stability theory, the stability of the closed-loop system is analyzed. It is demonstrated that all signals in the resulted system are bounded, the tracking error converges to a small compact set, and the system output limits in its constrained set. Finally, the simulation example is used to show the effectiveness of the presented control strategy.

scholarly journals Dynamic Sliding Mode Control Based on Fractional Calculus Subject to Uncertain Delay Based Chaotic Pneumatic Robot

2020 ◽  
Vol 10 (3) ◽  
pp. 413-420 ◽  
Author(s):  
Sara Gholipour ◽  
Heydar Toosian Shandiz ◽  
Mobin Alizadeh ◽  
Sara Minagar ◽  
Javad Kazemitabar
Keyword(s):  
Fractional Calculus ◽  
Sliding Mode Control ◽  
Control Method ◽  
Sliding Mode ◽  
Robot Manipulator ◽  
Lyapunov Stability Theory ◽  
Mode Control ◽  
Control Scheme ◽  
Dynamic Sliding Mode Control ◽  
Dynamic Sliding Mode

Background & Objective: This paper considers the chattering problem of sliding mode control in the presence of delay in robot manipulator causing chaos in such electromechanical systems. Fractional calculus was used in order to produce a novel sliding mode to eliminate chatter. To realize the control of a class of chaotic systems in master-slave configuration, a novel fractional dynamic sliding mode control scheme is presented and examined on the delay based chaotic robot. Also, the stability of the closed-loop system is guaranteed by Lyapunov stability theory. Methods: A control scheme is proposed for reducing the chattering problem in finite time tracking and robust in presence of system matched disturbances. Results: Moreover, delayed robot motions are sorted out for qualitative and quantitative study. Finally, numerical simulations illustrate feasibility of the proposed control method. Conclusion: The control scheme is viable.

On adaptive sliding mode control for improved quadrotor tracking

2017 ◽  
Vol 24 (14) ◽  
pp. 3219-3230 ◽  
Author(s):  
Sudhir Nadda ◽  
A Swarup
Keyword(s):  
Sliding Mode Control ◽  
Control Method ◽  
Sliding Mode ◽  
Lyapunov Stability Theory ◽  
Adaptive Method ◽  
Adaptation Strategy ◽  
Adaptive Sliding Mode Control ◽  
Parameter Uncertainties ◽  
External Disturbances ◽  
Mode Control

The tracking control of a quadrotor has been considered in this paper. The application of sliding mode control provides robustness against parametric uncertainties, but it requires knowledge of the upper bounds of uncertainties. An adaptation strategy has been proposed to implement sliding mode control, which does not require the upper bound of the uncertainties. The adaptive control law is derived on the basis of Lyapunov stability theory, which guarantees the tracking performance. The adaptation can be tuned faster by proper tuning, and convergence with good tracking can be achieved. The proposed adaptive method has improved robustness and provided simpler implementation. Through an illustrative simulation example, the performance of the proposed control method is presented and also compared with classical sliding mode control from the literature. It is demonstrated that the performance of quadrotor altitude tracking and convergence has been considerably improved while maintaining stability, even in presence of external disturbances and parameter uncertainties.

scholarly journals Sliding Mode Control of the Vehicle Speed System Based on LMIs

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
Hong-Liang Gao ◽  
Hong-Cong Zhang ◽  
Xiao-Ling Li
Keyword(s):  
Sliding Mode Control ◽  
Control Method ◽  
Sliding Mode ◽  
Control Function ◽  
Linear Matrix ◽  
Vehicle Speed ◽  
Tracking Accuracy ◽  
Nonlinear Characteristics ◽  
State Observation ◽  
Mode Control

Due to the nonlinear characteristics of the vehicle speed system, its stability is difficult to control. This paper analyzes the stability and traceability of the vehicle speed system under nonlinear characteristics. A sliding mode control method of the nonlinear system state observation based on linear matrix inequalities (LMIs) is proposed. In the proposed control method, Lyapunov function is used as the control function to track the position and speed of the vehicle speed system in real time. In the design process of the controller, the successive scaling method (SSM) is designed to improve the tracking accuracy. The simulation results demonstrate that the sliding mode control can effectively track the position of the vehicle speed system, which has better stability and traceability for the nonlinear vehicle speed system.

scholarly journals Sliding Mode Control for Multiagent System with Time-Delay and Uncertainties: An LMI Approach

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Pengfei Guo ◽  
Jie Zhang ◽  
Ming Lyu ◽  
Yuming Bo
Keyword(s):  
Time Delay ◽  
Sliding Mode Control ◽  
Control Method ◽  
Sliding Mode ◽  
Linear Matrix ◽  
Sliding Surface ◽  
Simple Method ◽  
Mode Control ◽  
Feedback Control Method ◽  
System With Time Delay

This paper considers the sliding mode control of multiagent systems (MAS) with time-delay and uncertainties in terms of linear matrix inequality (LMI). By constructing virtual feedback control method, the design of control system is simplified for time-delay independent system without uncertainties. For a class of uncertain systems with single time-delay, the essence of SMC design is analyzed in order to acquire a simple method for designing sliding surface. In terms of multiple timedelay system with uncertainties, a sufficient condition for sliding surface with independent time-delay is acquired, while control law is also designed to ensure the robust stability of closed-loop system. Finally, the effectiveness of conclusion is demonstrated by simulation results.

scholarly journals Active Sliding Mode Control Antisynchronization of Chaotic Systems with Uncertainties and External Disturbances

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Wafaa Jawaada ◽  
M. S. M. Noorani ◽  
M. Mossa Al-sawalha
Keyword(s):  
Sliding Mode Control ◽  
Chaotic Systems ◽  
Control Method ◽  
Sliding Mode ◽  
Initial Conditions ◽  
Sufficient Conditions ◽  
Lyapunov Stability Theory ◽  
External Disturbances ◽  
Mode Control ◽  
Active Sliding Mode Control

The antisynchronization behavior of chaotic systems with parametric uncertainties and external disturbances is explored by using robust active sliding mode control method. The sufficient conditions for achieving robust antisynchronization of two identical chaotic systems with different initial conditions and two different chaotic systems with terms of uncertainties and external disturbances are derived based on the Lyapunov stability theory. Analysis and numerical simulations are shown for validation purposes.

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