Observer-Based Piecewise Affine Output Feedback Controller Synthesis of Continuous-Time T-S Fuzzy Affine Dynamic Systems Using Quantized Measurements

This paper is concerned with the problem of robust H ∞ output feedback control for a class of continuous-time Takagi-Sugeno (T-S) fuzzy affine dynamic systems using quantized measurements. The objective is to design a suitable observer-based dynamic output feedback controller that guarantees the glo...

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Published in:	IEEE transactions on fuzzy systems Vol. 20; no. 6; pp. 1046 - 1062
Main Authors:	Jianbin Qiu, Gang Feng, Huijun Gao
Format:	Journal Article
Language:	English
Published:	IEEE 01.12.2012
Subjects:	Controller design Fuzzy systems Linear matrix inequalities Lyapunov methods measurement quantization Observers Output feedback piecewise Lyapunov functions Quantization robust {\mathscr H}_{\infty } control Takagi-Sugeno (T-S) fuzzy affine dynamic systems
ISSN:	1063-6706, 1941-0034
Online Access:	Get full text
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Abstract	This paper is concerned with the problem of robust H ∞ output feedback control for a class of continuous-time Takagi-Sugeno (T-S) fuzzy affine dynamic systems using quantized measurements. The objective is to design a suitable observer-based dynamic output feedback controller that guarantees the global stability of the resulting closed-loop fuzzy system with a prescribed H ∞ disturbance attenuation level. Based on common/piecewise quadratic Lyapunov functions combined with S-procedure and some matrix inequality convexification techniques, some new results are developed to the controller synthesis for the underlying continuous-time T-S fuzzy affine systems with unmeasurable premise variables. All the solutions to the problem are formulated in the form of linear matrix inequalities (LMIs). Finally, two simulation examples are provided to illustrate the advantages of the proposed approaches.
AbstractList	This paper is concerned with the problem of robust H ∞ output feedback control for a class of continuous-time Takagi-Sugeno (T-S) fuzzy affine dynamic systems using quantized measurements. The objective is to design a suitable observer-based dynamic output feedback controller that guarantees the global stability of the resulting closed-loop fuzzy system with a prescribed H ∞ disturbance attenuation level. Based on common/piecewise quadratic Lyapunov functions combined with S-procedure and some matrix inequality convexification techniques, some new results are developed to the controller synthesis for the underlying continuous-time T-S fuzzy affine systems with unmeasurable premise variables. All the solutions to the problem are formulated in the form of linear matrix inequalities (LMIs). Finally, two simulation examples are provided to illustrate the advantages of the proposed approaches.
Author	Gang Feng Jianbin Qiu Huijun Gao
Author_xml	– sequence: 1 surname: Jianbin Qiu fullname: Jianbin Qiu email: jbqiu@mail.ustc.edu.cn organization: Space Control & Inertial Technol. Res. Center, Harbin Inst. of Technol., Harbin, China – sequence: 2 surname: Gang Feng fullname: Gang Feng email: megfeng@cityu.edu.hk organization: Dept. of Mech. & Biomed. Eng., City Univ. of Hong Kong, Kowloon, China – sequence: 3 surname: Huijun Gao fullname: Huijun Gao email: hjgao@hit.edu.cn organization: Space Control & Inertial Technol. Res. Center, Harbin Inst. of Technol., Harbin, China
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SubjectTerms	Controller design Fuzzy systems Linear matrix inequalities Lyapunov methods measurement quantization Observers Output feedback piecewise Lyapunov functions Quantization robust {\mathscr H}_{\infty } control Takagi-Sugeno (T-S) fuzzy affine dynamic systems
Title	Observer-Based Piecewise Affine Output Feedback Controller Synthesis of Continuous-Time T-S Fuzzy Affine Dynamic Systems Using Quantized Measurements
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