根据总体稳定性判据，闭环系统稳定，当且仅当所有的特征方程的根有负面真正的部分。
According to the General Stability Criterion, a closed loop system will be stable if and only if all the roots of the characterized equation have negative real parts.
该方法不但能保证闭环系统稳定，而且可使跟踪误差收敛于原点或原点的一个小邻域内。
It is proved that the proposed method can not only guarantee the stability of the closed-loop system, but also make the tracking error converge to the origin or its small neighborhood.
通过此方法设计的速度跟踪控制，在保证整个闭环系统稳定的情况下，提高速度跟踪的快速性。
By this linearization model, the speed tracking control law is designed to increase the celerity of speed tracking while keeping the whole closed loop system stable.
在此基础上设计的模糊自适应控制器能够保证整个闭环系统稳定且跟踪误差收敛到零的一个邻域内。
The fuzzy adaptive controller designed based on this method can guarantees that the closed-loop system is globally stable and the tracking error converges to a neighborhood of zero.
而且这种模型可以看作是线性模型的扩展，因此许多线性控制理论的结果可用来分析闭环系统稳定性。
Also this model can be seen as the extension of linear model, so many results of linear system theory can be applied to analyze stability of closed loop system.
然后将此模型变换成最小相位系统，在此基础上设计了基于无源理论的反馈控制算法，给出了闭环系统稳定性证明，保证被控系统的误差渐近收敛。
Based_on the passive theory, the feedback control algorithm was proposed to make the controlled system asymptotically converge in the premise that the controlled system has minimum phase.
可以证明多模型自适应控制器能够保证闭环系统是输入输出有界稳定的。
The closed-loop system is proved to be bounded-input and bounded-output stable when the multiple model adaptive controller is used.
因而设计了易于物理实现的正常动态补偿器，使之与原系统构成的闭环系统渐近稳定且没有脉冲行为。
Normal dynamic compensators are designed so that the closed-loop systems consisting of the original systems and the compensators are asymptotically stable and have no impulse effect.
为保证闭环系统的全局渐进稳定性，系统的时延必须是有界的。
To guarantee the globally exponentially stable of closed - loop system, delay must be bounded.
所设计的多变量内模控制器能使系统稳定解耦，所得到的闭环系统根据开环系统时滞来描述。
All the stabilizing IMC controllers and the resulted closed-loop systems were characterized in terms of the open-loop system's time delays.
在不要求最优逼近误差平方可积和上界已知的条件下，证明闭环系统全局渐近稳定，所有信号有界且跟踪误差收敛到零。
We proved the closed systems global asymptotical stable, not needing the error upper bound and the error square integral, all the signals are bounded and the tracing error convergence.
为了减少环境污染和提高资源的利用效率，产品再制造闭环供应链系统的稳定有序运行非常重要。
In order to reduce environmental pollution and enhance the resource utilization, the stability move of closed loop supply chain systems with production remanufacturing is very important.
所得到的控制器不仅使得闭环系统是稳定的，而且还可以使得闭环系统状态具有给定的衰减度。
The obtained controller enables the closed loop systems to be not only stable, but also of any prescribed stability degree.
通过适当选择控制器参数，可以保证闭环系统是全局渐近稳定的。
By the proper choice of the controller parameters, the global stability of closed-loop system is guaranteed.
同时给出了在模型失配情况下保证闭环系统全局渐近稳定的预报长度范围和模型失配上限值。
Under model plant mismatch the robustly asymptotic stability and global convergence of the resulting closed loop system are guaranteed by selecting proper prediction horizon.
观测器与控制律的结合实现了无速度测量的控制，闭环系统被证明是渐近稳定的。
Combining the observer and the control law leads to control without velocity measurements. The close loop system is proved to be asymptotically stable.
用一个时滞状态反馈控制律镇定惯性轮倒立摆，不仅保证闭环系统全局渐近稳定，还允许闭环系统承受一定的时滞。
A delayed state feedback law is presented to stabilize the inertia wheel pendulum, which guarantees the closed-loop system to be globally asymptotically stable in the presence of time delays.
旋转导向钻井工具稳定平台的闭环控制是调制式旋转导向钻井系统的关键。
The closed loop control of the stabilizing platform on the rotary steering drilling system is the key technique of the modulating rotary steering drilling system.
故障调节后闭环系统是稳定的。
The resulting closed-loop nonlinear systems are stable after fault accommodation.
通过引入积分型变结构切换函数及高增益误差观测器，基于李雅普·诺夫稳定性理论，证明了闭环系统是全局稳定的，输出跟踪误差都收敛到零。
By introducing integral variable structure and high gain observer, the closed-loop control systems is shown to be globally stable in terms of Lyapunov theory, with tracking error converging to zero.
闭环系统正则，因果，稳定。
本文主要对机械振子的谐振特性和机—电谐振系统建模及其闭环稳定性等问题作了较为深入的讨论与研究。
This thesis mainly discusses and studies the resonant characteristics of the mechanical resonance, modeling of the electromechanical resonant system and its close-loop stability in depth.
并证明了闭环系统的稳定性和鲁棒性。
The stability and robustness of the closed system are proved.
在本系统中，我们应用了双闭环控制理论，以保证位置控制系统的稳定性。
In this system we apply the double closed loop theory to guarantee the accuracy of position control.
证明了设计的控制器能够保证闭环自适应系统的稳定性，并具有良好的跟踪控制效果。
The designed controller can guarantee the stability of the closed-loop adaptive system and the good tracking performance as well.
利用线性矩阵不等式技术和自适应参数估计方法，设计鲁棒自适应控制器，从而保证闭环系统渐近稳定。
Based on the linear matrix inequality and adaptive approach, a state feedback adaptive controller is designed, which make the closed-loop system is asymptotically stable.
从理论上证明了它可保证闭环系统的全局渐近稳定和收敛，并定量给出了预测水平的选择范围。
It is proved that globally asymptotical stability and convergence of the resulting closed-loop system are guaranteed by the range of the prediction horizon.
证明了该算法能够保证闭环系统的稳定性和跟踪误差的渐近收敛性。
The stability of the closed-loop system's and its asymptotical convergence of tracking errors can be guaranteed.
给出了设计模糊状态反馈控制器，保证闭环系统全局渐近稳定、具有一定衰减率稳定的两个充分条件；
The sufficient conditions of asymptotic stability and stability with decay rate for the closed loop systems via fuzzy state feedback controller are presented.
给出了设计模糊状态反馈控制器，保证闭环系统全局渐近稳定、具有一定衰减率稳定的两个充分条件；
The sufficient conditions of asymptotic stability and stability with decay rate for the closed loop systems via fuzzy state feedback controller are presented.
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