Enlarging the guaranteed region of attraction in nonlinear systems with bounded parametric uncertainty

Sara HAGHIGHATNIA; Reihaneh Kardehi MOGHADDAM

doi:10.1631/jzus.C1200213

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Enlarging the guaranteed region of attraction in nonlinear systems with bounded parametric uncertainty

电气与电子工程 | Updated：2022-12-09

- Enlarging the guaranteed region of attraction in nonlinear systems with bounded parametric uncertainty
- Enlarging the guaranteed region of attraction in nonlinear systems with bounded parametric uncertainty
- 信息与电子工程前沿（英文） 2013年14卷第3期页码：214-221
- Affiliations：
  
  Department of Electrical Engineering, Mashhad Branch, Islamic Azad University, Mashhad, Iran
- Author bio：
  
  [ "Sara HAGHIGHATNIA, E-mail: Sara.haghighatnia@mshdiau.ac.ir" ]
  [ "Reihaneh Kardehi MOGHADDAM, E-mail: R_k_moghaddam@mshdiau.ac.ir" ]
- Funds：
- DOI：10.1631/jzus.C1200213
  中图分类号： TP27
- 收稿：2012-06-05，
  
  修回：2013-;1-10，
  
  纸质出版：2013-03
- Accepted：
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Enlarging the guaranteed region of attraction in nonlinear systems with bounded parametric uncertainty[J]. 信息与电子工程前沿（英文）, 2013,14(3):214-221.

Sara HAGHIGHATNIA, Reihaneh Kardehi MOGHADDAM. Enlarging the guaranteed region of attraction in nonlinear systems with bounded parametric uncertainty[J]. Frontiers of Information Technology & Electronic Engineering, 2013, 14(3): 214-221.
Enlarging the guaranteed region of attraction in nonlinear systems with bounded parametric uncertainty[J]. 信息与电子工程前沿（英文）, 2013,14(3):214-221. DOI： 10.1631/jzus.C1200213.

Sara HAGHIGHATNIA, Reihaneh Kardehi MOGHADDAM. Enlarging the guaranteed region of attraction in nonlinear systems with bounded parametric uncertainty[J]. Frontiers of Information Technology & Electronic Engineering, 2013, 14(3): 214-221. DOI： 10.1631/jzus.C1200213.

摘要

Abstract

A novel approach to enlarge the guaranteed region of attraction in nonlinear systems with bounded parametric uncertainties based on the design of a nonlinear controller is proposed. The robust domain of attraction (RDA) is estimated using the parameter-dependent quadratic Lyapunov function and enlarged by the optimal controlling parameters. The problem of extending the RDA is indicated in a form of three-layer optimization problem. Some examples illustrate the efficiency of the proposed strategy in enlarging RDA.

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references

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