Observer Design for Nonlinear Invertible System from the View of Both Local and Global Levels

Observer Design for Nonlinear Invertible System from the View of Both Local and Global Levels
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局部和全局层面的非线性可逆系统观测器设计

DOI:
10.3390/app10227966
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发表时间:
2020-11
期刊:
Applied Science
影响因子:
--
通讯作者:
Li Zetao
Li Zetao
中科院分区:
其他
文献类型:
--
作者:
Zhang Mei;Wu Qinmu;Chen Xiangping;Dahhou Boutaieb;Li Zetao

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本文强调了局部动力学对控制系统全局动力学影响的重要性。将执行器作为一个独立的非线性子系统与非线性过程子系统级联,提出了一种具有全局和局部监督特性的互联非线性系统结构。为此,研究了一种互联观测器设计方法,并对其收敛性进行了研究。一个主要的困难是状态观测只能依赖于终端边界处的全局系统输出。这是因为由于物理或经济原因,两个子系统之间的连接点被认为无法测量。因此,互联观测器的目的是估计各子系统的状态向量和不可测连接点。具体来说,执行器子系统观测器中使用的输出被过程子系统观测器的估计所取代,而这种互连的估计被视为过程子系统观测器设计中的附加状态。通过计算执行器子系统输出方程的导数,得到了这种新状态的表达式。数值模拟证实了所提出的观测器的有效性和鲁棒性,与现有方法相比,突出了该工作的重要性。
This paper emphasizes the importance of the influences of local dynamics on the global dynamics of a control system. By considering an actuator as an individual, nonlinear subsystem connected with a nonlinear process subsystem in cascade, a structure of interconnected nonlinear systems is proposed which allows for global and local supervision properties of the interconnected systems. To achieve this purpose, a kind of interconnected observer design method is investigated, and the convergence is studied. One major difficulty is that a state observation can only rely on the global system output at the terminal boundary. This is because the connection point between the two subsystems is considered unable to be measured, due to physical or economic reasons. Therefore, the aim of the interconnected observer is to estimate the state vector of each subsystem and the unmeasurable connection point. Specifically, the output used in the observer of the actuator subsystem is replaced by the estimation of the process subsystem observer, while the estimation of this interconnection is treated like an additional state in the observer design of the process subsystem. Expression for this new state is achieved by calculating the derivatives of the output equation of the actuator subsystem. Numerical simulations confirm the effectiveness and robustness of the proposed observer, which highlight the significance of the work compared with state-of-the-art methods.
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