State and Control Input Limitations in Sliding Mode Control with System Uncertainties

2021 ◽  
pp. 61-70
Author(s):  
Marek Jaskuła ◽  
Piotr Leśniewski
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Control Input ◽  
Mode Control ◽  
System Uncertainties ◽  
And Control

scholarly journals Sliding mode control of biogas production by anaerobic digestion with addition of acetate

2019 ◽  
Vol 93 ◽  
pp. 03002
Author(s):  
Plamena Zlateva
Keyword(s):  
Anaerobic Digestion ◽  
Sliding Mode Control ◽  
Expert Knowledge ◽  
Sliding Mode ◽  
Biogas Production ◽  
External Disturbance ◽  
Control Input ◽  
State Variables ◽  
Mode Control ◽  
And Control

Biogas production by anaerobic digestion with addition of acetate is considered. Sliding mode control for regulation of the biogas flow rate using the addition of acetate as a control action is proposed. The control design is carried out with direct use of nonlinear model and expert knowledge. Chattering phenomena are avoided by realizing the sliding mode with respect to the control input derivative. The state variables, external disturbance, process output and control input are varied in the known intervals. The performance of the designed sliding mode control is investigated by varying the process set point and the uncertain process parameter, which reflecting the influence of the external disturbance. The excellent performance of presented control is proved through simulation investigations in MATLAB using Simulink.

scholarly journals Synchronization of a Non-Equilibrium Four-Dimensional Chaotic System Using a Disturbance-Observer-Based Adaptive Terminal Sliding Mode Control Method

Entropy ◽  
2020 ◽  
Vol 22 (3) ◽  
pp. 271 ◽  
Author(s):  
Shaojie Wang ◽  
Amin Yousefpour ◽  
Abdullahi Yusuf ◽  
Hadi Jahanshahi ◽  
Raúl Alcaraz ◽  
...  
Keyword(s):  
Sliding Mode Control ◽  
Chaotic System ◽  
Disturbance Observer ◽  
Sliding Mode ◽  
Input Saturation ◽  
Control Input ◽  
Terminal Sliding Mode Control ◽  
Terminal Sliding Mode ◽  
Mode Control ◽  
And Control

In this paper, dynamical behavior and synchronization of a non-equilibrium four-dimensional chaotic system are studied. The system only includes one constant term and has hidden attractors. Some dynamical features of the governing system, such as invariance and symmetry, the existence of attractors and dissipativity, chaotic flow with a plane of equilibria, and offset boosting of the chaotic attractor, are stated and discussed and a new disturbance-observer-based adaptive terminal sliding mode control (ATSMC) method with input saturation is proposed for the control and synchronization of the chaotic system. To deal with unexpected noises, an extended Kalman filter (EKF) is implemented along with the designed controller. Through the concept of Lyapunov stability, the proposed control technique guarantees the finite time convergence of the uncertain system in the presence of disturbances and control input limits. Furthermore, to decrease the chattering phenomena, a genetic algorithm is used to optimize the controller parameters. Finally, numerical simulations are presented to demonstrate the performance of the designed control scheme in the presence of noise, disturbances, and control input saturation.

Chaotic Gyros Synchronization

2011 ◽  
pp. 183-209
Author(s):  
M. Roopaei ◽  
M. J. Zolghadri ◽  
B. S. Ranjbar ◽  
S. H. Mousavi ◽  
H. Adloo ◽  
...  
Keyword(s):  
Sliding Mode Control ◽  
Control Method ◽  
Fuzzy Controller ◽  
Sliding Mode ◽  
Dead Zone ◽  
Control Input ◽  
Mode Control ◽  
Fuzzy Sliding Mode ◽  
Robust Adaptive ◽  
Fuzzy Parameter

In this chapter, three methods for synchronizing of two chaotic gyros in the presence of uncertainties, external disturbances and dead-zone nonlinearity are studied. In the first method, there is dead-zone nonlinearity in the control input, which limits the performance of accurate control methods. The effects of this nonlinearity will be attenuated using a fuzzy parameter approximator integrated with sliding mode control method. In order to overcome the synchronization problem for a class of unknown nonlinear chaotic gyros a robust adaptive fuzzy sliding mode control scheme is proposed in the second method. In the last method, two different gyro systems have been considered and a fuzzy controller is proposed to eliminate chattering phenomena during the reaching phase of sliding mode control. Simulation results are also provided to illustrate the effectiveness of the proposed methods.

scholarly journals Stability Analysis of a Class of Second Order Sliding Mode Control Including Delay in Input

2013 ◽  
Vol 2013 ◽  
pp. 1-9
Author(s):  
Pedro R. Acosta
Keyword(s):  
Time Delay ◽  
Sliding Mode Control ◽  
Sliding Mode ◽  
Sufficient Conditions ◽  
Second Order ◽  
Control Input ◽  
Sliding Surface ◽  
Numerical Examples ◽  
Mode Control ◽  
Second Order Sliding Mode

This paper deals with a class of second order sliding mode systems. Based on the derivative of the sliding surface, sufficient conditions are given for stability. However, the discontinuous control signal depend neither on the derivative of sliding surface nor on its estimate. Time delay in control input is also an important issue in sliding mode control for engineering applications. Therefore, also sufficient conditions are given for the time delay size on the discontinuous input signal, so that this class of second order sliding mode systems might have amplitude bounded oscillations. Moreover, amplitude of such oscillations may be estimated. Some numerical examples are given to validate the results. At the end, some conclusions are given on the possibilities of the results as well as their limitations.

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