State-space Models

3.6 Summary

The state-space representations of the most important finite dimensional (lumped) system classes are briefly reviewed and described in this chapter. They will be used in the rest of the book.

The linear time-invariant (LTI) state-space moel is introduced first, since it serves as a basic case for all extensions towards the nonlinear state-space representation forms. The linear time-varying parameter (LTV) and linear parameter-varying (LPV) systems are seen as intermediate cases between the basic reference LTI and the general nonlinear cases.

The general and input-affine state-space models, introduced last, are the basis of all the nonlinear analysis and control techniques described in this book, are also introduced here.

The linear and nonlinear coordinate transformations, which generate classes of equivalent linear and nonlinear state-space models, complement the chapter.