本文研究了一类连续搅拌反应釜(CSTR)系统的H∞控制问题.系统中的非线性动态特性可采)用Takagi-Sugeno(T-S)模糊双线性模型进行描述.通过引入两个自由矩阵,给出一个新的保证闭环模糊双线性系统在H∞性能指标下全局渐近稳定的充分条件和控制器设计方法,并且该条件最终可归结为求解一组线性矩阵不等式的可行性问题.CSTR系统的仿真结果表明设计方法的有效性.
This paper is concerned with the H-infinity control for a class of continuous stirred tank reactor (CSTR) systems, in which the nonlinear dynamics are described by TakagiSugeno fuzzy bilinear models. By introducing two free matrix variables, we derive a new sufficient condition, in terms of linear matrix inequalities, of the global stability with a prescribed Hinfinity performance level for the closedloop fuzzy bilinear systems. The controller design method is also given. Simulation results of a CSTR system illustrate the effectiveness of the design method.