Sliding Mode Control with a Current Controlled Sliding Manifold

2011 ◽  
pp. 205-222
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Mode Control ◽  
Sliding Manifold ◽  
A Current

scholarly journals Nonlinear Integral Sliding Mode Control for a Second Order Nonlinear System

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
Xie Zheng ◽  
Xie Jian ◽  
Du Wenzheng ◽  
Cheng Hongjie
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
External Disturbance ◽  
Lyapunov Stability Theory ◽  
Second Order ◽  
Integral Sliding Mode Control ◽  
Integral Sliding Mode ◽  
Mode Control ◽  
Control Scheme ◽  
Sliding Manifold

A nonlinear integral sliding-mode control (NISMC) scheme is proposed for second order nonlinear systems. The new control scheme is characterized by a nonlinear integral sliding manifold which inherits the desired properties of the integral sliding manifold, such as robustness to system external disturbance. In particular, compared with four kinds of sliding mode control (SMC), the proposed control scheme is able to provide better transient performances. Furthermore, the proposed scheme ensures the zero steady-state error in the presence of a constant disturbance or an asymptotically constant disturbance is proved by Lyapunov stability theory and LaSalle invariance principle. Finally, both the theoretical analysis and simulation examples demonstrate the validity of the proposed scheme.

Memoryless Adaptive Decentralized Sliding Mode Control for Uncertain Large-Scale Systems With Time-Varying Delays

2003 ◽  
Vol 125 (2) ◽  
pp. 172-176 ◽  
Author(s):  
Jun-Juh Yan
Keyword(s):  
Sliding Mode Control ◽  
Large Scale ◽  
Composite System ◽  
Sliding Mode ◽  
Robust Stabilization ◽  
Time Varying ◽  
Large Scale Systems ◽  
Mode Control ◽  
Sliding Manifold ◽  
Local Controller

The problem of robust stabilization for uncertain large-scale systems with time-varying delays is investigated through sliding mode control. A memoryless adaptive decentralized sliding mode controller (ADSMC) is developed. The proposed controller ensures the occurrence of the sliding manifold of the composite system. It is worthy of note that the proposed ADSMC does not involve any information of coupling states and is a local controller. Furthermore, it also does not include any delayed state or the upperbounds of uncertainties. Thus, such ADSMC is memoryless, and the limitation of knowing the upperbounds of uncertainties in advance is certainly released. A numerical example is given to verify the validity of the developed memoryless ADSMC.

Delay-independent sliding mode control of time-delay linear fractional order systems

2016 ◽  
Vol 40 (4) ◽  
pp. 1212-1222 ◽  
Author(s):  
M Yousefi ◽  
T Binazadeh
Keyword(s):  
Time Delay ◽  
Sliding Mode Control ◽  
Fractional Order ◽  
Sliding Mode ◽  
Control Law ◽  
State Delay ◽  
New Approach ◽  
Mode Control ◽  
Sliding Manifold ◽  
Theoretical Results

This paper considers the problem of delay-independent stabilization of linear fractional order (FO) systems with state delay. As in most practical systems in which the value of delay is not exactly known (or is time varying), a new approach is proposed in this paper, which results in asymptotic delay-independent stability of the closed-loop time-delay FO system. For this purpose, a novel FO sliding mode control law is proposed in which its main advantage is its independence to delay. Furthermore, a novel appropriate delay-independent sliding manifold is suggested. Additionally, two theorems are given and proved, which guarantee the occurrence of the reaching phase in finite time and the asymptotic delay-independent stability conditions of the dynamic equations in the sliding phase. Finally, in order to verify the theoretical results, two examples are given and simulation results confirm the performance of the proposed controller.

Discrete sliding mode control for hybrid synchronization of continuous Lorenz systems with matched/unmatched disturbances

2017 ◽  
Vol 40 (5) ◽  
pp. 1417-1424 ◽  
Author(s):  
Jun-Juh Yan ◽  
Teh-Lu Liao
Keyword(s):  
Sliding Mode Control ◽  
Chaos Synchronization ◽  
Sliding Mode ◽  
Design Procedure ◽  
Controlled System ◽  
Mode Control ◽  
Sliding Manifold ◽  
Single Controller ◽  
Hybrid Synchronization ◽  
Discrete Sliding Mode Control

This paper is concerned with the hybrid synchronization of master-slave Lorenz systems with uncertainties. A new systematic design procedure to synchronize continuous master-slave Lorenz chaotic systems is proposed by using a discrete sliding mode control (DSMC). In contrast to the previous works, the design of DSMC can be simplified and only a single controller is needed to realize chaos synchronization. The proposed DSMC ensures the occurrence of the sliding mode. When the controlled system is in the sliding manifold, the effect of disturbances including matched and unmatched cases are discussed. The proposed results conclude the synchronization error of controlled master-slave systems with matched disturbances can be fully derived to zero or robustly suppressed in an estimated bound even with unmatched disturbances, which is not addressed in the literature. The numerical simulation results demonstrate the success and effectiveness of the proposed DSMC developed in this paper.

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