On Robust Control System to Controlled Object of Large Change

Abstract

Boiler steam temperature controlled object has characteristics of full scope nonlinear and time-variable, which bring more difficulties in modeling and designing control systems. Adopting Jordan block in broad sense and algebra equivalence transform method, the description of transfer functions paragraphed can be transformed into that of state-space with changeable parameters. The researches on steady robustness of three tipical control systems shows that: to the high order inertia nonlinear and time-variable controlled object described by the same set of transfer functions, theLuenbergerfunction observer established according to its any algebra equivalence state-space description, there exists a solve matrixwith order satisfy theSylvestermatrix equation under some conditions. There presents sufficient conditions to full scope asymptotically stable of three types boiler steam temperature control systems and the regulators’ steady work points. The simulation tests and engineering practices prove the correctness of theoretical analysis and steady robustness of the systems.