Earticle

초록

영어

The robust 𝐻∞ control design for bilinear systems with multi inputs is presented in this paper. First, the bilinear system is represented as a dynamic Takagi-Sugeno (TS) fuzzy system by using sector nonlinearity approach. The dynamic TS fuzzy system is a convex combination of local linear systems. The local robust 𝐻∞ controller is designed for each local linear system. The controller synthesis for the local linear systems is then formulated in the bilinear matrix inequalities (BMIs) problem. After that, the BMIs problem is reduced to an equivalent parameter of linear matrix inequalities (LMIs) problem which has a feasible solution. The robust 𝐻∞ controller for bilinear systems as a convex combination of the local robust 𝐻∞ controllers is obtained by using defuzzyfication. The existence condition of the robust 𝐻∞ controller for the bilinear systems is also presented. The simulation results are given to clarify the proposed method for the robust 𝐻∞ control design of the bilinear systems.

목차

Abstract
 1. Introduction
 2. Representation for Bilinear Systems
  2.1. Representation of Bilinear Systems in Takagi-Sugeno Fuzzy Systems
  2.2. Definition of Robust H∞-Performance
 3. Robust H∞ Control for Bilinear Systems Using the Dynamic Takagi-Sugeno Fuzzy Models Based on Linear Matrix Inequalities
 4. Numerical Simulations
 5. Conclusion
 Acknowledgments
 References

키워드

저자

• Solikhatun [ Industrial and Financial Mathematics Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Indonesia, Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Gadjah Mada, Indonesia ]
• Roberd Saragih [ Industrial and Financial Mathematics Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Indonesia ]
• Endra Joelianto [ Instrumentation and Control Research Group, Faculty of Industrial Technology, Institut Teknologi Bandung, Indonesia ]
• Endra Joelianto [ Instrumentation and Control Research Group, Faculty of Industrial Technology, Institut Teknologi Bandung, Indonesia ]
• Janson Naiborhu [ Industrial and Financial Mathematics Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Indonesia ]

참고문헌

발행기관

간행물

표지보기 관심저널 등록

• 간행물명

  International Journal of Control and Automation

• 간기

  월간

• pISSN

  2005-4297

• 수록기간

  2008~2016

• 십진분류

  KDC 505 DDC 605