Mathematical Modeling and Stability of Linear Uncertain Systems with Actuator Saturations

This chapter is dedicated to presenting a new method of saturation nonlinear fields which can be used to tackle problems of analysis and synthesis for linear systems subject to actuator saturations. Noting that new systematic techniques which can be formally presented in the chapter, the objective of the chapter is to show not only the recent methods but also their practical applications. The focus of this chapter is on the so-called \(0-1\) algebra-geometry type structure equations. We attempt to provide qualitative analysis methods and stability methods for linear systems with saturated inputs in both global and local contexts. Our hope is also that this part will enable practitioners to have more concise model systems to modern saturation nonlinear techniques and that this will encourage future applications.