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本文讨论一类一致可测非线性系统全局渐近稳定观测器的设计.所讨论的非线性系统是非Lipschitz的,具有混合指数幂(指数幂大于1或小于1).所设计的观测器有两项齐次误差项,其中一项指数幂大于1,另一项指数幂小于1.此外,所设计的观测器结构简单.通过构造适当的齐次Lyapuonv函数证明了状态误差渐近收敛性.最后两个数值仿真实验验证本方法的有效性.
In this paper, we discuss the design of a globally observable global asymptotic stable observer for a class of uniformly measurable nonlinear systems. The nonlinear system in question is non-Lipschitz with mixed exponential powers (exponential powers greater than 1 or less than 1.) The observers designed have two Term homogeneous error term, one of the exponential power is greater than 1 and the other exponential power is less than 1. In addition, the designed observer structure is simple, and asymptotic convergence of state error is proved by constructing appropriate homogeneous Lyapunov functions. Two numerical simulation experiments verify the effectiveness of this method.