锅炉蒸汽温度鲁棒控制系统研究及其稳定性分析  

Study on Robust Control System of Boiler Steam Temperature and Analysis on Its Stability

作　　者：韩忠旭[1] 阎翠会[2] 张智[2] 

机构地区：[1]中国电力科学研究院电网数字仿真技术研究所,北京市海淀区100192 [2]北京国电智深控制技术有限公司,北京市海淀区100192

出　　处：《中国电机工程学报》2010年第8期101-109,共9页Proceedings of the CSEE

基　　金：中国电力科学研究院科技创新基金(ZDKJB200712)~~

摘　　要：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。Boiler steam temperature controlled object has characteristic of full scope nonlinear and time-variable, taking more difficult to modeling and design of control systems. Adopting generalized Jordan block and algebra equivalence transform method, all of the transfer functions at different load points can be transformed to state：space description with time variable. The steady robustness of three different mode of control systems were researched by mathematic analysis. It shows that： for the high order inertia controlled object with the characteristic of nonlinear and time-variable that described by the set of transfer functions, the Luenberger function observer established according to its any algebra equivalence state-space description, if some conditions can be met, there would be a matrix of T（t） with nxn satisfied the Sylvester matrix equation T（t）A（t）- FT（t）=GC（t）. The sufficient conditions of full scope asymptotically stable of the three types of boiler steam temperature control systems and the stable operating points of controllers were presented. The correctness of theoretical analysis and steady robustness of the systems were testified by the simulation and engineering.

关 键 词：数学模型 锅炉蒸汽温度 观测器 状态反馈 非线性 代数等价 稳定性 鲁棒性 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置] TQ323.4[自动化与计算机技术—控制科学与工程]