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从化工过程入手，采用非线性几何方法找到一个非线性反馈ｕ＝α（ｘ）＋β（ｘ）υ和微分同胚，对一类单输入单输出仿射非线性化工反应器进行完全线性化，用现代控制论方法实现优化控制，并通过计算机仿真加以验证．
Starting from the chemical process, a non-linear geometric method is used to find a nonlinear feedback u = α (x) + β (x) υ and differential homeomorphism. A type of single-input and one-output affine nonlinear chemical reactor is completely linearized. Using modern cybernetics approach to achieve optimal control, and verified by computer simulation.