Fuzzy Stochastic Optimal Guaranteed Cost Control of Bio-Economic Singular Markovian Jump Systems

被引：96
|
作者：
Li, Li [1 ,2 ]
Zhang, Qingling [3 ]
Zhu, Baoyan [4 ]
机构：
[1] Northeastern Univ, Inst Syst Sci, Shenyang 110819, Peoples R China
[2] Bohai Univ, Coll Math & Phys, Jinzhou 121013, Peoples R China
[3] Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Inst Syst Sci, Shenyang 110819, Peoples R China
[4] Shenyang Jianzhu Univ, Coll Sci, Shenyang 110168, Peoples R China
来源：
IEEE TRANSACTIONS ON CYBERNETICS | 2015年 / 45卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Bio-economic model; finite-time control; guaranteed cost; linear matrix inequality (LMI); singular Markovian jump system (SM[!text type='JS']JS[!/text]); Takagi-Sugeno (T-S) fuzzy model; PREDATOR-PREY MODEL; FINITE-TIME CONTROL; H-INFINITY CONTROL; LINEAR-SYSTEMS; STABILITY;
D O I：
10.1109/TCYB.2014.2375957
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper establishes a bio-economic singular Markovian jump model by considering the price of the commodity as a Markov chain. The controller is designed for this system such that its biomass achieves the specified range with the least cost in a finite-time. Firstly, this system is described by Takagi-Sugeno fuzzy model. Secondly, a new design method of fuzzy state-feedback controllers is presented to ensure not only the regularity, nonimpulse, and stochastic singular finite-time boundedness of this kind of systems, but also an upper bound achieved for the cost function in the form of strict linear matrix inequalities. Finally, two examples including a practical example of eel seedling breeding are given to illustrate the merit and usability of the approach proposed in this paper.
引用
收藏
页码：2512 / 2521
页数：10
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