CONTROLLING THE UNCERTAIN MULTI-SCROLL CRITICAL CHAOTIC SYSTEM WITH INPUT NONLINEAR USING SLIDING MODE CONTROL

2009 ◽  
Vol 23 (16) ◽  
pp. 2021-2034 ◽  
Author(s):  
XINGYUAN WANG ◽  
DA LIN ◽  
ZHANJIE WANG
Keyword(s):  
Chaotic System ◽  
Sliding Mode ◽  
Equilibrium Points ◽  
Dead Zone ◽  
Variable Structure ◽  
Sliding Mode Controller ◽  
Global Stabilization ◽  
Structure Control ◽  
Control Scheme ◽  
Simulation Results

In this paper, control of the uncertain multi-scroll critical chaotic system is studied. According to variable structure control theory, we design the sliding mode controller of the uncertain multi-scroll critical chaotic system, which contains sector nonlinearity and dead zone inputs. For an arbitrarily given equilibrium point of the uncertain multi-scroll chaotic system, we achieve global stabilization for the equilibrium points. Particularly, a class of proportional integral (PI) switching surface is introduced for determining the convergence rate. Furthermore, the proposed control scheme can be extended to complex multi-scroll networks. Finally, simulation results are presented to demonstrate the effectiveness of the proposed control scheme.

On Transient Improvement of Variable Structure Controlled Systems Using Multimodel Switching 1

2010 ◽  
Vol 132 (3) ◽  
Author(s):  
Mehmet Akar
Keyword(s):  
Nonlinear Systems ◽  
Sliding Mode ◽  
Variable Structure ◽  
Sliding Mode Controller ◽  
Multiple Model ◽  
Robust Tracking ◽  
Controlled Systems ◽  
Control Scheme ◽  
Transient Improvement ◽  
Simulation Results

This paper presents a multiple model/controller scheme for robust tracking of a class of nonlinear systems in the presence of large plant uncertainties and disturbance. Each model is associated with a sliding mode controller, and a switching logic is designed to pick the model that best approximates the plant at each instant. Theoretically, it is shown that the proposed control scheme achieves perfect tracking despite the existence of disturbance, whereas simulation results verify the improvement in the transient performance.

scholarly journals Chattering-Free Single-Phase Robustness Sliding Mode Controller for Mismatched Uncertain Interconnected Systems with Unknown Time-Varying Delays

Energies ◽  
2020 ◽  
Vol 13 (1) ◽  
pp. 282 ◽  
Author(s):  
Cong-Trang Nguyen ◽  
Thanh Long Duong ◽  
Minh Quan Duong ◽  
Duc Tung Le
Keyword(s):  
Single Phase ◽  
Sliding Mode ◽  
Variable Structure Control ◽  
Variable Structure ◽  
Sliding Mode Controller ◽  
Time Varying ◽  
Structure Control ◽  
Time Varying Delay ◽  
Chattering Free ◽  
Varying Delay

Variable structure control with sliding mode can provide good control performance and excellent robustness. Unfortunately, the chattering phenomenon investigated due to discontinuous switching gain restricting their applications. In this paper, a chattering free improved variable structure control (IVSC) for a class of mismatched uncertain interconnected systems with an unknown time-varying delay is proposed. A sliding function is first established to eliminate the reaching phase in traditional variable structure control (TVSC). Next, a new reduced-order sliding mode estimator (ROSME) without time-varying delay is constructed to estimate all unmeasurable state variables of plants. Then, based on the Moore-Penrose inverse approach, a decentralized single-phase robustness sliding mode controller (DSPRSMC) is synthesized, which is independent of time delays. A DSPRSMC solves a complex interconnection problem with an unknown time-varying delay term and drives the system’s trajectories onto a switching surface from the initial time instance. Particularly, by applying the well-known Barbalat’s lemma, the chattering phenomenon in control input is alleviated. Moreover, a sufficient condition is established by using an appropriate Lyapunov theory and linear matrix inequality (LMI) method such that a sliding mode dynamics is asymptotically stable from the beginning time. Finally, a developed method is validated by numerical example with computer simulations.

scholarly journals Design of passive fault-tolerant controllers of a quadrotor based on sliding mode theory

2015 ◽  
Vol 25 (3) ◽  
pp. 561-576 ◽  
Author(s):  
Abdel-Razzak Merheb ◽  
Hassan Noura ◽  
François Bateman
Keyword(s):  
Fault Tolerant ◽  
Sliding Mode ◽  
Search Algorithm ◽  
Variable Structure ◽  
Sliding Mode Controller ◽  
Actuator Faults ◽  
Motor Speed ◽  
Partial Loss ◽  
Structure Control ◽  
Natural Equilibrium

Abstract In this paper, sliding mode control is used to develop two passive fault tolerant controllers for an AscTec Pelican UAV quadrotor. In the first approach, a regular sliding mode controller (SMC) augmented with an integrator uses the robustness property of variable structure control to tolerate partial actuator faults. The second approach is a cascaded sliding mode controller with an inner and outer SMC loops. In this configuration, faults are tolerated in the fast inner loop controlling the velocity system. Tuning the controllers to find the optimal values of the sliding mode controller gains is made using the ecological systems algorithm (ESA), a biologically inspired stochastic search algorithm based on the natural equilibrium of animal species. The controllers are tested using SIMULINK in the presence of two different types of actuator faults, partial loss of motor power affecting all the motors at once, and partial loss of motor speed. Results of the quadrotor following a continuous path demonstrated the effectiveness of the controllers, which are able to tolerate a significant number of actuator faults despite the lack of hardware redundancy in the quadrotor system. Tuning the controller using a faulty system improves further its ability to afford more severe faults. Simulation results show that passive schemes reserve their important role in fault tolerant control and are complementary to active techniques

scholarly journals Secure Communications Based on the Projective Synchronization of Four-Dimensional Hyperchaotic Systems

2019 ◽  
Vol 2019 ◽  
pp. 1-16 ◽  
Author(s):  
Salahuddin Abdul Rahman ◽  
Mohamed Zribi ◽  
Nejib Smaoui
Keyword(s):  
Secure Communication ◽  
Sliding Mode ◽  
Projective Synchronization ◽  
Sliding Mode Controller ◽  
Secure Communications ◽  
Controlled Systems ◽  
Control Scheme ◽  
Communication Scheme ◽  
Simulation Results ◽  
Hyperchaotic Systems

This paper deals with the projective synchronization (PS) of two identical discrete-time generalized four-dimensional (4D) hyperchaotic Henon maps using a master-slave configuration. A discrete sliding mode controller (DSMC) scheme is proposed to synchronize the master and the slave systems. The performance of the controlled systems is simulated; the simulation results indicate that the proposed controller works well. In addition, a secure communication scheme is proposed based on the developed control scheme. The validity of the proposed scheme is tested by transmitting an image and simulating the results. The simulation results clearly indicate the effectiveness of the proposed secure communication scheme.

A Sliding Mode Controller of Quadrotor Based on Unit Quaternion

2014 ◽  
Vol 536-537 ◽  
pp. 1087-1092
Author(s):  
Yue Yue Lv ◽  
Wei Huang ◽  
Juan Liu ◽  
Zheng Fu Peng
Keyword(s):  
Flight Control ◽  
Control Algorithm ◽  
Sliding Mode ◽  
Variable Structure ◽  
Sliding Mode Controller ◽  
Euler Angles ◽  
Unit Quaternion ◽  
Structure Control ◽  
Sliding Mode Variable Structure ◽  
Gimbal Lock

In this paper, quaternionbased mathematical model of Quadrotor without singularity is established to avoid Gimbal Lock problem in Euler angles. Flight control algorithm based on sliding mode variable structure control (SMVSC) is introduced to control the attitude and position to approach the challenge of underactuation, nonlinearity and strong coupling. Numerical simulation is conducted to prove the effectiveness of the proposed method.

scholarly journals A Novel Sliding Mode Controller for Underactuated Vertical Takeoff and Landing Aircraft

2020 ◽  
Vol 14 ◽  
Keyword(s):  
Flight Control ◽  
Degrees Of Freedom ◽  
Control Method ◽  
Sliding Mode ◽  
Variable Structure Control ◽  
Variable Structure ◽  
Superior Performance ◽  
Sliding Mode Controller ◽  
Structure Control ◽  
Sliding Mode Variable Structure

Compared with other control methods, the biggest advantage of using sliding mode variable structure control method lies in its strong robustness which could be used to directly handle the strong nonlinear flight control system. However, this control method requires switching between different switching surfaces, which will inevitably cause buffeting problems, so that the energy consumption increases. Therefore, how to overcome this disadvantage to achieve the superior performance of sliding mode variable structure control method is the current research focus. This paper studies the trajectory tracking of under-actuated VTOL aircraft with three degrees of freedom and two control inputs under various coupling effects. By the input and coordinate transformation, the dynamic equation of the system is transformed into decoupled standard under-actuated form and the sliding mode controller is designed. Then Lyapunov stability theorem is used to derive sliding mode control law which could ensure that the system asymptotically converges to the given trajectory. The simulation has demonstrated the effectiveness of this method

A New Variable Structure Control Scheme for Mismatched Uncertain Large Scale Systems

2015 ◽  
Vol 789-790 ◽  
pp. 1005-1010
Author(s):  
Yao Wen Tsai ◽  
Phan Van Duc ◽  
Van Van Huynh
Keyword(s):  
Large Scale ◽  
Controller Design ◽  
Sliding Mode ◽  
Variable Structure Control ◽  
Variable Structure ◽  
Order System ◽  
Large Scale Systems ◽  
Structure Control ◽  
Control Scheme ◽  
Output Information

In this paper, a new decentralized adaptive output feedback variable structure control scheme is designed for mismatched uncertain large-scale systems where the exogenous disturbance is unknown. The proposed approach uses output information completely in sliding surface and controller design. Therefore, conservatism is reduced and robustness is enhanced. Furthermore, the reduce order system in sliding mode is asymptotically stable under certain conditions. Finally, a numerical example is used to demonstrate the efficacy on the method.

FUZZY SIMPLEX-TYPE SLIDING-MODE CONTROL

2013 ◽  
Vol 37 (3) ◽  
pp. 375-383
Author(s):  
Ta-Tau Chen ◽  
Sung-Chun Kuo
Keyword(s):  
Sliding Mode Control ◽  
Simplex Method ◽  
Fuzzy Logic Control ◽  
Sliding Mode ◽  
Sliding Mode Controller ◽  
Mode Control ◽  
Logic Control ◽  
Control Scheme ◽  
Simulation Results ◽  
System States

In this paper, a novel fuzzy simplex sliding-mode controller is proposed for controlling a multivariable nonlinear system. The fuzzy logic control (FLC) algorithm and simplex sliding-mode control (SSMC) theory are integrated to form the fuzzy simplex sliding mode control (FSSMC) scheme which improves the system states response and reduces system states chattering phenomenon. In this paper, at first, we introduce the principle of simplex method, and then develop fuzzy controls based on the simplex method. Finally, a numerical example is proposed to illustrate the advantages of the proposed controllers, the simulation results demonstrate that the fuzzy simplex type sliding mode control scheme is a good solution to the chattering problem in the simplex sliding mode control.

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