Discrete-Time Nonlinear Control Systems

Discrete-time nonlinear control systems arise in many fields of science and applications. This chapter provides the main tools to analyze the stability properties of fixed points using a Lyapunov function approach. In addition, dedicated techniques for stabilizing controller design are presented, in...

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Bibliographic Details
Published inReference Module in Materials Science and Materials Engineering
Main Authors Jungers, Marc, van de Wouw, Nathan
Format Book Chapter
LanguageEnglish
Published Elsevier Inc 2015
Subjects
Control design
Convergent system
Discrete-time systems
Lur’e-type system
Lyapunov function
Nonlinear systems
Recurrence equation
Stability
Discrete-time systems
Control design
Stability
Lur’e-type system
Recurrence equation
Nonlinear systems
Convergent system
Lyapunov function
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ISBN9780128035818
0128035811
DOI10.1016/B978-0-443-14081-5.00172-0

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Summary:Discrete-time nonlinear control systems arise in many fields of science and applications. This chapter provides the main tools to analyze the stability properties of fixed points using a Lyapunov function approach. In addition, dedicated techniques for stabilizing controller design are presented, including constructive conditions for particular systems classes (such as Lur’e-type systems and switched systems). Finally, more advanced stability-related notions for systems with inputs, such as input-to-state stability, dissipativity and convergence, are discussed.
ISBN:9780128035818
0128035811
DOI:10.1016/B978-0-443-14081-5.00172-0