中文摘要：

首先给出了汽轮机调节系统的非线性模型,以PID调节参数作为系统分岔参数,运用Hopf分岔存在性的直接代数判据对该非线性模型的Hopf分岔行为进行了理论分析和数值仿真,指出了PID调节参数的选择原则。其次,针对汽轮机调节系统的非线性混沌振荡现象,在Hopf分岔点及固定奇点处建立了汽轮机调节系统T-S模糊模型,基于线性矩阵不等式（LMI）为其设计了模糊控制器,将处于不稳定振荡态的汽轮机调节系统控制到稳定运行状态,并借助Matlab数值模拟验证了其有效性。

英文摘要：

Firstly,a nonlinear model of turbine regulating system is presented. The system adopt PID parameters as the bifurcation parameter,using the direct algebraic criteria about the Hopf bifurcation existence to analyze and simulate the Hopf bifurcation behavior; and the selection principle of PID parameters is proposed. Secondly, according to the nonlinear oscillation phenomenon of this system, a T-S fuzzy model of the turbine regulating system is established at the Hopf bifurcation points and the fixed singular point. Meanwhile, the fuzzy controller was designed for its instability on the basis of linear matrix inequality （LMI）, making the system transform from instable oscillation into stable operation. And its validity is testified through numerical simulations.