一类非线性广义生物经济系统的保性能分析

Guaranteed Cost Analysis for a Class of Nonlinear Singular Biological Economic System

研究一类非线性广义生物经济系统的保性能控制问题.考虑到外来物种对原产地鱼类种群的影响,首先,从人工捕获收益、对外来物种的净化能力和捕捞鱼类年龄段因素入手,建立非线性广义生物模型,讨论系统平衡点,将T-S模糊方法转化为线性模型去研究;其次,在此基础上设定加入满足Lipschitz条件的扰动项,用LMI方法给出一个简化的非线性不确定广义模型保性能控制器存在的条件,满足相应的保性能指标;最后,使用数例仿真验证了研究结果的有效性.

Guaranteed cost control problem of a class of nonlinear singular biological economic systemwas studied in this paper. First ly, considering the influence of exotic specietion , starting with the artificial capture gains,purification capacity to the alien species and fish age factors, a nonlinear generalized model was developed, and then the equilibrium point was discussed. Besides, through the T-S fuzzy method, complex generalized model was transformed to linear one. Secondly, con-sidering the disturbance affected by some natural factors was setting into satisfying Lipschitz conditions, using LMI method, the paper gave a set of conditions on the existence of guaranteed controller of a simpli-fied nonlinear uncertain generalized model which satisfies guaranteed performance index. of numerical simulation was shown to verify the effectiveness of the study result.