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首页> 外文期刊>Mathematical Problems in Engineering >Output Regulation for a Class of MIMO Uncertain Stochastic Nonlinear Systems by Active Disturbance Rejection Control Approach
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Output Regulation for a Class of MIMO Uncertain Stochastic Nonlinear Systems by Active Disturbance Rejection Control Approach

机译：一类MIMO不确定随机非线性系统的主动干扰抑制输出调节。

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摘要

In this paper, the active disturbance rejection control (ADRC) approach is applied to a class of multi-input multioutput (MIMO) uncertain stochastic nonlinear systems. An extended state observer (ESO) is first designed for estimation of both unmeasured states and stochastic total disturbance of each subsystem which represents the total effects of internal unmodeled stochastic dynamics and external stochastic disturbance with unknown statistical property. The ADRC controller based on the states of ESO is further designed to achieve the closed-loop system's output regulation performance including practical mean square reference signals tracking, disturbance attenuation, and practical mean square stability when the reference signals are zero avoiding solving any partial differential equations in the conventional output regulation theory. Some numerical simulations are presented to demonstrate the effectiveness of the proposed ADRC approach.
机译：本文将主动干扰抑制控制（ADRC）方法应用于一类多输入多输出（MIMO）不确定随机非线性系统。首先设计一个扩展状态观察器（ESO）来估计每个子系统的未测量状态和随机总扰动，这表示内部未建模的随机动力学和具有未知统计特性的外部随机扰动的总影响。进一步设计基于ESO状态的ADRC控制器，以实现闭环系统的输出调节性能，包括在参考信号为零时跟踪实际均方根参考信号，扰动衰减和实际均方根稳定性，从而避免求解任何偏微分方程在常规的输出调节理论中。提出了一些数值模拟，以证明所提出的ADRC方法的有效性。

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