Mathematical Modeling and Stability of Linear Uncertain Systems with Actuator Saturations

  • Shuli Guo
  • Lina Han


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.



This work is supported by National Key Research and Development Program of China (2017YFF0207400).


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© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  1. 1.Key Laboratory of Complex System Intelligent Control and Decision, School of AutomationBeijing Institute of TechnologyBeijingChina
  2. 2.Department of Cardiovascular Internal Medicine of Nanlou Branch, National Clinical Research Center for Geriatric DiseasesChinese PLA General HospitalBeijingChina

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