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Adaptive neural control of MIMO nonlinear systems with a block-triangular pure-feedback control structure

机译:具有块三角形纯反馈控制结构的mImO非线性系统的自适应神经控制

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摘要

This paper presents adaptive neural tracking control for a class of uncertain multi-input-multi-output (MIMO) nonlinear systems in block-triangular form. All subsystems within these MIMO nonlinear systems are of completely nonaffine purefeedback form and allowed to have different orders. To deal with the nonaffine appearance of the control variables, the mean value theorem (MVT) is employed to transform the systems into a block-triangular strict-feedback form with control coefficients being couplings among various inputs and outputs. A systematic procedure is proposed for the design of a new singularityfree adaptive neural tracking control strategy. Such a design procedure can remove the couplings among subsystems and hence avoids the possible circular control construction problem. As a consequence, all the signals in the closed-loop system are guaranteed to be semiglobally uniformly ultimately bounded (SGUUB). Moreover, the outputs of the systems are ensured to converge to a small neighborhood of the desired trajectories. Simulation studies verify the theoretical findings revealed in this work.
机译:本文针对一类不确定的多输入多输出(MIMO)非线性系统,以块三角形形式提出了自适应神经跟踪控制。这些MIMO非线性系统中的所有子系统都是完全仿射的纯反馈形式,并且可以具有不同的阶数。为了处理控制变量的非仿射外观,采用平均值定理(MVT)将系统转换为块三角形严格反馈形式,控制系数是各种输入和输出之间的耦合。针对新的无奇异自适应神经跟踪控制策略的设计,提出了系统的程序。这样的设计程序可以消除子系统之间的耦合,从而避免了可能的圆形控制构造问题。结果,确保闭环系统中的所有信号都是半全局一致的最终有界(SGUUB)。而且,确保系统的输出收敛到期望轨迹的小邻域。仿真研究验证了这项工作揭示的理论发现。

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