Fractional robust control design for fuzzy dynamical systems: An optimal approach

被引:10
|
作者
Xu, Jinquan [1 ,2 ]
Chen, Ye-Hwa [2 ]
Guo, Hong [1 ]
机构
[1] Beijing Univ Aeronaut & Astronaut, Sch Automat Sci & Elect Engn, Beijing 100083, Peoples R China
[2] Georgia Inst Technol, George W Woodruff Sch Mech Engn, Atlanta, GA 30332 USA
关键词
Fuzzy dynamical systems; fuzzy set theory; robust control; uniform boundedness; uniform ultimate boundedness; optimization;
D O I
10.3233/IFS-141316
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
We propose an optimal approach to a new control design for fuzzy dynamical systems in this paper. Consider the system containing uncertainty, which may includes the unknown system parameter and input disturbance. And the uncertainty can be prescribed with a fuzzy set. A new class of factional-type robust controls are proposed, whose structure is deterministic and is not if-then rule-based. Furthermore, the control gain design is formulated as a constrained optimization problem, which minimizes both the average fuzzy performance and control effort. We show that the solution of this optimization problem always exists and is unique. And the closed-form solution and closed-form minimum cost are derived. The resulting control can guarantee the uniform boundedness and uniform ultimate boundedness of the uncertain system, while minimizing both the average fuzzy performance and control effort.
引用
收藏
页码:553 / 569
页数:17
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