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锅炉蒸汽温度受控对象具有全程非线性和时变特性,给建模和控制系统设计带来较大困难。采用广义约当块及代数等价变换方法,可将分段的传递函数描述转换为变参数的状态空间描述,对3种典型控制系统的稳定鲁棒性所进行的理论研究表明,对同一组传递函数描述的具有非线性和时变特性的高阶惯性受控对象,依据其任一代数等价的状态空间描述所构建的Luenberger函数观测器,在满足一定的条件时,存在n×n解阵T(t)满足Sylvester矩阵方程T(t)A(t)?FT(t)=GC(t)。文中给出了3种类型锅炉蒸汽温度控制系统全局渐近稳定的充分条件,及其调节器的稳态工作点。仿真试验和工程实践证明了理论分析的正确性和控制系统的稳定鲁棒性。
The boiler steam temperature controlled object has the whole non-linearity and the time-varying characteristic, brings the big difficulty to the modeling and the control system design. The generalized approximation block and algebraic equivalence transformation method can be used to transform the segment transfer function description into the state space description of variable parameters. Theoretical studies on the robustness of the three typical control systems show that for the same group According to the Luenberger function observer constructed by any algebraic equivalent state space description, the high-order inertial controlled object with nonlinear and time-varying characteristics described by transfer function has n × n solution when some conditions are satisfied The matrix T (t) satisfies the Sylvester matrix equation T (t) A (t) • FT (t) = GC (t). In this paper, sufficient conditions for the global asymptotic stability of steam temperature control systems for three types of boilers and their steady-state operating points are given. Simulation test and engineering practice prove the correctness of the theoretical analysis and the stability and robustness of the control system.