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Concept Of Smc. Algorithm & Super Twisting Algorithm

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Introduction Concept of SMC Twisting Algorithm & Super Twisting Algorithm

Introduction

The sliding mode control tactic is known as one of the effective tools to design robust controllers for complex high-order nonlinear dynamic system operating under uncertainty conditions. The research in this area were started in the former Soviet Union in 1960’s, and then the sliding mode control methodology has been receiving much more attention from the international control community within the last two decades.

The main advantage of sliding mode is low sensitivity to plant parameter variations and disturbances which reduces the need of precise modeling. Sliding mode control allows the decoupling of the overall system motion into independent partial components of lower dimension and, as a result, decreases the difficulty of feedback design. Sliding mode control implies that control actions are discontinuous state functions which may simply be applied by straight power converters with “on-off” as the only permissible operation mode. Due to these properties sliding mode control has been proved to be valid to a wide range of problems in robotics, electric drives and generators, process control, vehicle and motion control.

Concept of SMC
Using the conventional Second order example:

X ̈+a_2 X ̇+a_1 X=u u=-Msign(s) S=CX+X ̇ ; where a_1,a_2.M and C are const u can take only two values, M or –M (Fig.1 for the case a_1=a_2=0). It follows from the analysis of the state plane

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