Sliding Mode Control Techniques in E-Learning Systems

Sliding Mode Control Techniques in E-Learning Systems

I. Boiko (The Petroleum Institute, UAE), H. Hussein (The Petroleum Institute, UAE) and A. Al Durra (The Petroleum Institute, UAE)
DOI: 10.4018/978-1-4666-9489-7.ch007
OnDemand PDF Download:
No Current Special Offers


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.
Chapter Preview

Mathematical Model Of Learning Dynamics

The fundamental idea of control in learning is to reach the highest level of effectiveness in undertaking a task, which happens when individual’s ability level is congruent with the level of challenge. We associate the degree of challenge with control and denote it as u(t), and denote the individual’s ability as d. When the task challenge is equal (matched) to the individual’s ability the most efficient learning can be achieved. In the case when u>d, stress or anxiety occurs and efficiency of learning is decreased. In the case when d<u, students become bored, and efficiency of learning is decreased too. Because it is practically impossible to design a course ideally matching individual’s ability (not only for technical reasons, but also because this ability is not known a-priori but identified in the process of learning) the adjustment of challenge can only be done in a discontinuous manner by alternating some more and some less challenging tasks. The way they are alternated, or the ratio between more challenging and less challenging tasks, is determined on the basis of feedback received through evaluation of the tasks.

Complete Chapter List

Search this Book: