Hyperplane design and CAD of variable structure control systems

Abstract

In this chapter we have outlined an approach to hyperplane design in variable structure systems based on the assignment of the eigenstructure in the sliding mode. In order to clarify the number of degrees of freedom in this process and to simplify the numerical implementation of the design procedures, a particular canonical form for the system has been proposed. A control scheme to drive the state into the sliding mode has been outlined, along with a method of reducing the chattering component of the control. A computer-aided design package, VASSYD, has been developed by the authors to assist the designer.