The LFT formulation of dynamical systems with the uncertainties of parameter variations

Abstract

This paper mainly studies the problems of the formulation of dynamical systems with the parameter uncertainties. The uncertainties in the inertial term of a dynamical system are studied and dealt with since they are necessary but troublesome in applications. These uncertainties can be treated with an inverse transfer function in a block diagram. These problems can be formulated as the general linear fractional transformation which is regarded as the standard problem. The proposed technology can be easily extended to other standard control problems such as the robust 2-parameter compensator problems. An example of an inverse pendulum is also presented by this proposed technology. © 2012 Springer-Verlag.