CAJ | 학술논문

非线性状态观测器可改善过程控制性能和故障诊断,针对一类参数不确定非线性系统提出了自适应观测器设计方法.通过微分同胚变换,将非线性系统转换为仅依赖原系统输入、输出的自适应观测器规范形式.利用自适应调节器估计未知参数,用构造的观测器实现状态的重构.Lyapunov稳定性理论分析了状态观测误差动态方程的稳定性,用来证明所设计的自适应观测器为全局渐近收敛的,既实现了系统状态的渐近重构又确保了在持续激励条件下未知参数估计以指数快速收敛到真值,并通过仿真试验.仿真结果表明提出方法的有效性.
비선성상태관측기가개선과정공제성능화고장진단,침대일류삼수불학정비선성계통제출료자괄응관측기설계방법.통과미분동배변환,장비선성계통전환위부의뢰원계통수입、수출적자괄응관측기규범형식.이용자괄응조절기고계미지삼수,용구조적관측기실현상태적중구.Lyapunov은정성이론분석료상태관측오차동태방정적은정성,용래증명소설계적자괄응관측기위전국점근수렴적,기실현료계통상태적점근중구우학보료재지속격려조건하미지삼수고계이지수쾌속수렴도진치,병통과방진시험.방진결과표명제출방법적유효성.
An adaptive observer is designed for a class of nonlinear systems with unknown parameters. The non-linear system is diffeomorphically transformed into a canonical system by using an adaptive regnlator to estimate the unknown parameters and building the observer to reconstruct the systems states. Based on Lyapunov stability theory, the stability of dynamical error equation is proved and a conclusion is given that the observer designed guarantees fast exponential convergence both of parameter and state estimates to actual parameters and states when persistency of ex-citation conditions arc satisfied. A simulation example is provided to verify the effectiveness of the method.