Advances in Variable Structure Systems and Sliding Mode Control—Theory and Applications

Author(s):  
I. Boiko ◽  
H. Hussein ◽  
A. Al Durra

Perspectives of using sliding mode control in e-learning are discussed. The concepts of variable structure systems and sliding mode control are given. Analysis of convergence based on the second Lyapunov's method is presented. The analysis presented is based on the dynamic models of learning available in the literature. The suitability of the use of sliding mode to adaptation of level of challenge of the tasks in e-learning is demonstrated. It is shown that with frequent enough evaluation of tasks, optimal level of task challenge can be ensured.


Author(s):  
Shu Wang ◽  
Richard Burton ◽  
Saeid Habibi

A new robust state and parameter estimation strategy called the Variable Structure Filter (VSF) has recently been proposed and used for state and parameter estimation. A very common problem of linear stochastic systems is to design a combined robust control and estimation strategy, given system and noise uncertainties. Variable Structure Control (VSC) and its special form of Sliding Mode Control (SMC) show superb robustness. This paper proposes a new strategy involving the Sliding Mode Control and the Variable Structure Filter. Both the estimator and controller are based on the concepts of Variable Structure Systems (VSS). In the presence of bounded parametric uncertainties and noise, a robust stability is guaranteed. Further more, the combined strategy can be used to achieve high regulation rates or short settling times. The object of this paper is to introduce this combined VSF and SMC strategy and to demonstrate its application to a third order model of a high precision hydrostatic system, referred to as the Electrohydraulic Actuator System (EHA).


2012 ◽  
Vol 20 (04) ◽  
pp. 327-347
Author(s):  
MOHAMED AMINE FNAIECH ◽  
HAZEM N. NOUNOU ◽  
MOHAMED N. NOUNOU ◽  
ANIRUDDHA DATTA

The utilization of mathematical tools in the analysis and synthesis of models representing biological phenomena is rapidly growing. Adding to these efforts, in this paper, a mathematical method based on the sliding mode control approach will be used for the purpose of developing a therapeutic intervention strategy for a class of biological phenomena. Such an intervention scheme aims at moving an undesirable state of a diseased network towards a more desirable state using drugs to act on some genes/metabolites that characterize the undesirable behavior. S-systems, which offer a good compromise between accuracy and mathematical flexibility, are a promising framework for modeling the dynamical behavior of biological phenomena as well as genetic regulatory networks. Since biological phenomena modeled by S-systems are complex nonlinear processes, the need for robust nonlinear intervention strategies that are capable of guiding the target variables to their desired values often arises. The main objective of this paper is to develop an intervention scheme based on sliding mode control theory, sometimes referred to as variable structure control theory, and evaluate the robustness of the sliding mode intervention scheme in the presence of model parameter uncertainties. The proposed intervention strategy is applied to a glycolytic-glycogenolytic pathway model and the simulation results demonstrate the effectiveness of the proposed scheme.


1995 ◽  
Vol 05 (03) ◽  
pp. 337-354 ◽  
Author(s):  
G. SPIAZZI ◽  
P. MATTAVELLI ◽  
L. ROSSETTO ◽  
L. MALESANI

Switch-mode power supplies represent a particular class of variable structure systems (VSS). Thus, they can take advantage of non-linear control techniques developed for this class of systems. In this paper the so called sliding mode control is reviewed and its application to switch-mode power supplies is discussed. Sliding mode control extends the properties of hysteresis control to multi-variable environments, resulting in stability even for large supply and load variations, good dynamic response and simple implementation. Application to dc–dc converters, as well as rectifiers and inverters, is analyzed and provisions to overcome the inherent drawbacks of sliding mode control, i.e. variable switching frequency and possible steady-state errors, are described. Experimental results are also reported, which allow a comparison between the sliding mode approach and other standard control techniques, e.g. current-mode control, showing its effectiveness.


Author(s):  
Meriem Benmeziane ◽  
S. Zebirate ◽  
A. Chaker ◽  
Z. Boudjema

<span lang="EN-US">This paper present a hybrid nonlinear control based on fuzzy sliding mode to control wind energy conversion system using a doubly fed induction generator (DFIG). Consiting of coupling fuzzy logic control and sliding mode control this technique is introduced to avoid the major disadvantage of variable structure systems, namely the chattering phenomenon. Effectiveness and feasibility of the proposed control strategy are verified by simulation results in Matlab Simulink.</span>


DC-to-DC converter is an electronic circuit that converts direct current (DC) from a given voltage to another. DC-DC converters have a broad range of applications, starting from electronic gadgets to household equipment, adapters of mobile phone and laptops, aero plane control frameworks and communication hardware. This paper illustrates the practical application of DC-DC boost converter using Sliding Mode Control (SMC). DC-DC converters can be categorized into different categories in terms of mechanical, electrical and electronic features. SMC DC-DC converters show better performance compared to other converters under certain conditions. This nonlinear control system is especially well suited for Variable Structure Systems. The most significant advantage of Sliding Mode Control over conventional control systems is its robustness against load, line and parametric uncertainties.


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