Synchronizing the Noise-Perturbed Rössler Hyperchaotic System via Sliding Mode Control

2011 ◽  
Vol 66 (1-2) ◽  
pp. 6-12 ◽  
Author(s):  
Jianwen Feng ◽  
Phillip Yam ◽  
Francis Austin ◽  
Chen Xu
Keyword(s):  
Numerical Simulation ◽  
Sliding Mode Control ◽  
Sliding Mode ◽  
Sufficient Conditions ◽  
Hyperchaotic System ◽  
Mode Control ◽  
Synchronization Problem ◽  
Control Concept ◽  
Simulation Results ◽  
Hyperchaotic Systems

This paper investigates the synchronization problem between two unidirectionally-coupled Rössler hyperchaotic systems in the presence of noise perturbations. Sufficient conditions are obtained for synchronization by using a particularly simple linear sliding mode surface that is based on the sliding mode control concept. Only one controller function is needed to achieve synchronization in our present approach which makes it much easier to implement in contrast to many other synchronization schemes that require two or more controllers. Numerical simulation results are also included to illustrate the superior features of this new scheme.

Modified Super-Twisting Interception Strategy With a Maximal Capture Zone

2010 ◽  
Author(s):  
Valery Y. Glizer ◽  
Vladimir Turetsky ◽  
Leonid Fridman ◽  
Josef Shinar
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Sufficient Conditions ◽  
Second Order ◽  
Capture Zone ◽  
Mode Control ◽  
New Strategy ◽  
Homing Performance ◽  
Simulation Results ◽  
Second Order Sliding Mode

A planar linearized interception problem of a maneuverable target is considered. A novel continuous interception strategy, based on the super-twisting second-order sliding mode control, is constructed. The sufficient conditions guaranteeing that this strategy has the maximal capture zone are established. Simulation results demonstrate that the control expenditure of the new strategy is reduced without deteriorating the homing performance in comparison with a bang-bang strategy.

Attitude Control of Rigid Body Using Sliding Mode Control

2011 ◽  
Vol 383-390 ◽  
pp. 7550-7555
Author(s):  
Hui Hui Bian ◽  
Zhong Hua Wang
Keyword(s):  
Numerical Simulation ◽  
Sliding Mode Control ◽  
Rigid Body ◽  
Attitude Control ◽  
Sliding Mode ◽  
Sliding Mode Controller ◽  
Mode Control ◽  
Modified Rodrigues Parameters ◽  
Simulation Results

In this paper, a sliding mode controller is developed based on the modified rodrigues parameters. Modified rodrigues parameters can avoid the singularity in kinematic equations and realize less parameters setting. Finally, the numerical simulation results show that the method is effective.

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.

Adaptive sliding mode control for stochastic switched systems with actuator faults

2018 ◽  
Vol 41 (7) ◽  
pp. 1880-1887
Author(s):  
Yonghui Liu
Keyword(s):  
Sliding Mode Control ◽  
Switched Systems ◽  
Sliding Mode ◽  
Sufficient Conditions ◽  
Adaptive Sliding Mode Control ◽  
Sliding Surface ◽  
Actuator Faults ◽  
Adaptive Sliding Mode ◽  
Mode Control ◽  
Actuator Degradation

The problem of adaptive sliding mode control is considered for a class of stochastic switched systems with actuator degradation. In this work, the input matrix for each subsystem is unnecessarily the same. Thus, a weighted sum approach of the input matrices is introduced such that a common sliding surface is designed. By online estimating the loss of effectiveness of the actuators, an adaptive sliding mode controller is designed. It can not only compensate the effect of the actuator degradation effectively, but also reduce the conservatism that the bound of the actuator faults should be known in advance. Moreover, it is shown that the reachability of the sliding surface can be guaranteed. Furthermore, sufficient conditions on the mean-square exponential stability of the sliding mode dynamics are obtained via the average dwell time method. Finally, a numerical simulation example is given to demonstrate the effectiveness of the proposed method.

scholarly journals Synchronization of Synchronous Reluctance Motors Using the Discrete Sliding Mode Control Technique

2019 ◽  
Vol 2019 ◽  
pp. 1-13 ◽  
Author(s):  
Salahuddin Abdul Rahman ◽  
Mohamed Zribi ◽  
Nejib Smaoui
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Chaotic Behavior ◽  
Initial Conditions ◽  
Control Technique ◽  
Mode Control ◽  
Synchronous Reluctance Motor ◽  
Control Scheme ◽  
Bounded Disturbances ◽  
Simulation Results

The synchronous reluctance motor (SynRM) drive system is known to exhibit chaotic behavior under specified conditions. In this paper, the discrete-time sliding mode control (DSMC) technique is used to synchronize two SynRMs starting from different sets of initial conditions. The mixed variable speed reaching law is adopted in the design of the controller scheme. The parameters of the designed control scheme are tuned using a genetic algorithm (GA). Simulation results are presented to demonstrate the effectiveness of the proposed controller. In addition, the performance of the proposed control scheme is studied through simulations when bounded disturbances and mismatches between the parameters of the systems and those of the control scheme exist. The simulation results show that the designed control scheme is robust to bounded external disturbances and to mismatches in the parameters of the systems.

Dynamic Analysis and Sliding Mode Control of a Novel Extendable Modular Multi-DOFs Link

2012 ◽  
Author(s):  
Hak Yi ◽  
Je Hong Yoo ◽  
Reza Langari
Keyword(s):  
Sliding Mode Control ◽  
Dynamic Analysis ◽  
Sliding Mode ◽  
Free Motion ◽  
Modular Robot ◽  
Nonlinear Controller ◽  
Control Approach ◽  
Mode Control ◽  
Reachable Workspace ◽  
Simulation Results

In this paper, we have considered the new extendable modular multi-DOFs link to have a larger reachable workspace and more dexterous manipulability, as compared to a typical link. As a part of the extendable modular robot (EMR), our link is implemented to allow free motion when performing required tasks. In addition, this paper deals with a function of adjusting the link’s length (within 25% of the nominal length). Our investigation also focuses on the dynamics of a multi-DOFs link and the nonlinear controller for a given trajectory. The simulation results show the effectiveness of this control approach.

A Target Tracking Approach for Nonholonomic Agents Based on Artificial Potentials and Sliding Mode Control

2012 ◽  
Vol 134 (6) ◽  
Author(s):  
Veysel Gazi ◽  
Barış Fidan ◽  
Raúl Ordóñez ◽  
M. İlter Köksal
Keyword(s):  
Sliding Mode Control ◽  
Target Tracking ◽  
Continuous Time ◽  
Sliding Mode ◽  
Control Techniques ◽  
Maneuvering Target ◽  
Mode Control ◽  
Time Control ◽  
Control Scheme ◽  
Simulation Results

In this paper, we consider the task of tracking a maneuvering target both with a single nonholonomic agent and a swarm of nonholonomic agents. In order to achieve the tracking task, a decentralized continuous-time control scheme, which combines artificial potentials and sliding mode control techniques, is developed via constructive analysis. The effectiveness of the proposed control scheme is established analytically and demonstrated via a set of simulation results.

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