L 2 -Gain Synthesis

Daizhan Cheng (), Xiaoming Hu () and Tielong Shen ()
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Daizhan Cheng: Chinese Academy of Sciences, Academy of Mathematics & Systems Science
Xiaoming Hu: Royal Institute of Technology, Optimization and Systems Theory
Tielong Shen: Sophia University, Department of Engineering and Applied Sciences

Chapter Chapter 14 in Analysis and Design of Nonlinear Control Systems, 2010, pp 403-429 from Springer

Abstract: Abstract This chapter investigates L2-gain synthesis problem. As L2-induced norm, L2-gain is an extension of H ∞ norm of linear systems. Hence, L2-gain synthesis problem is usually called the nonlinear H ∞ control problem. Section 14.1 discusses the H ∞ norm and L2-gain. Then, the H ∞ design problem is formulated in Section 14.2 and the design principle for linear systems is introduced. Section 14.3 focuses on the L 2- gain synthesis problem for nonlinear systems. In Section 14.4, a constructive design approach is presented. Finally, some application examples are presented to illustrate the design techniques in Section 14.5.

Keywords: State Feedback; Riccati Equation; State Feedback Controller; Storage Function; Zero Dynamic (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-11550-9_14

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DOI: 10.1007/978-3-642-11550-9_14

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