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一类非线性不确定连续系统的时滞独立型模糊双曲保成本控制

伦淑娴 张化光

伦淑娴, 张化光. 一类非线性不确定连续系统的时滞独立型模糊双曲保成本控制. 自动化学报, 2005, 31(5): 720-726.
引用本文: 伦淑娴, 张化光. 一类非线性不确定连续系统的时滞独立型模糊双曲保成本控制. 自动化学报, 2005, 31(5): 720-726.
LUN Shu-Xian, ZHANG Hua-Guang. Delay-independent Fuzzy Hyperbolic Guaranteed Cost Control Design for a Class of Nonlinear Continuous-time Systems with Uncertainties. ACTA AUTOMATICA SINICA, 2005, 31(5): 720-726.
Citation: LUN Shu-Xian, ZHANG Hua-Guang. Delay-independent Fuzzy Hyperbolic Guaranteed Cost Control Design for a Class of Nonlinear Continuous-time Systems with Uncertainties. ACTA AUTOMATICA SINICA, 2005, 31(5): 720-726.

一类非线性不确定连续系统的时滞独立型模糊双曲保成本控制

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    通讯作者:

    伦淑娴

Delay-independent Fuzzy Hyperbolic Guaranteed Cost Control Design for a Class of Nonlinear Continuous-time Systems with Uncertainties

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    Corresponding author: LUN Shu-Xian
  • 摘要: This paper develops delay-independent fuzzy hyperbolic guaranteed cost control for non-linear continuous-time systems with parameter uncertainties. Fuzzy hyperbolic model (FHM) can be used to establish the model for certain unknown complex system. The main advantage of using FHM over Takagi-Sugeno (T-S ) fuzzy model is that no premise structure identification is needed and no completeness design of premise variables space is needed. In addition, an FHM is not only a kind of valid global description but also a kind of nonlinear model in nature. A nonlinear quadratic cost function is developed as a performance measurement of the closed-loop fuzzy system based on FHM. Based on delay-independent Lyapunov functional approach, some sufficient conditions for the existence of such a fuzzy hyperbolic guaranteed cost controller via state feedback are provided. These conditions are given in terms of the feasibility of linear matrix inequalities (LMIs). A simulation example is provided to illustrate the design procedure of the proposed method.
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出版历程
  • 收稿日期:  2004-07-27
  • 修回日期:  2005-06-26
  • 刊出日期:  2005-09-20

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