closed loop stability

Because the closed-loop system has the time delay unit in its characteristic equation, it is difficult to analyze the stability with the latent root. The paper uses the bode plot frequency-domain design method of the classical control theory.

由于闭环系统的特征方程分母中含有时滞项，从特征根角度分析系统的稳定性具有一定的难度，因此本文采用的是经典控制理论中的波特（Bode）图频域分析法。

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An on line learning algorithm based on the error gradient descent method is proposed. the stability of closed loop system is proved in Lyapunov ′ s sense.

为此提出一种基于对角递归神经网络的非线性噪声有源自适应控制方法，并给出一种基于误差梯度下降的在线学习算法，同时证明了闭环控制系统在Lyapunov意义下的稳定性。

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In a word, the control purpose is how to deal with the disturbance and high-priority traffic, the proposed controllers can guarantee the stability of closed-loop system and reduce the magnitude and persistent time of the congestion.

控制器设计的目的是：考虑到上述干扰并且不影响高优先业务的情况下，使缓冲区队列长度和ABR源的允许速率分别达到稳定值，即，保证闭环控制的稳定性；

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In the last part, for a class of nonlinear dynamic system, the author has designed an 'Adaptive Fuzzy wavelet Neural Network Controller' based on T-S model and slide mode control, also the asymptotical stability of the closed-loop system is proved.

在前面工作基础上，本文对一类非线性动态系统，设计了一个基于模糊小波神经网络自适应跟踪器，并且证明了自适应闭环系统的渐近稳定性。

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The scheme with infinite prediction horizon and finite control horizon can guarantee nominal asymptotic closed-loop stability.

此方法采用无限预测时域和有限控制时域,既能保证 闭环 稳定性又易于实现.

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The closed-loop design schemes were evaluated according to command following accuracy and ability to subdue effects of the atmospheric turbulences and other disturbances, where the structured singular value analysis method was adopted to evaluate robust stability and robust performance of the FCAS.

并对控制方案从指令跟踪精度、大气紊流响应和对其它扰动的抑制特性等方面进行了评估，其中用结构奇异值对增稳系统的鲁棒稳定性和鲁棒性能进行了分析。

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Several important issues in the intelligent control were also considered such as the overall control scheme, the requirement of the persistency of excitation and the bounded learning rates of the controller for the overall closed loop stability.

同时，论文也研究了其他一些重要问题，如为达到全局闭环稳定而需要的全局控制方案、激励持续条件、学习率的界定等。

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