Variable Structure Control of Interconnected Systems with Applications to Power Systems

摘要

This report describes the theory and application of variable structure control for composite and interconnected nonlinear system models. Variable structure control is a generalized bang-bang control theory. Structurally the gain of each feedback path is switched between two possible gains. The gain setting depends on the position of the system state trajectory with respect to a set of switching surfaces. The report demonstrates the viability and effectiveness of variable structure control for nonlinear systems. Chapter 1 of the report surveys the basic theory of variable structure control for a composite single input system in a nonlinear controllable canonical form. Chapter 2 extends this development to the multi-input case. The problem of decentralized variable structure control is scrutinized in Chapter 3 and applied to an interconnected two-pendulum system. An application of Chapter 2 to a single-machine infinite-bus system occurs in Chapter 4. Finally Chapter 5 takes up the problem of a decentralized dither control for a two-machine system. (ERA citation 09:013643)