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研究基于动态补偿的一般广义系统的正则化、无脉冲、稳定性与极点配置问题.给出了补偿后闭环系统正则无脉冲的充要条件,进而通过与正常系统相关结果的比较,给出其补偿器存在且闭环极点可以配置在任意接近给定位置的充要条件.此外给出了一般广义系统及其动态补偿器的对偶原理.通过一个数字例子说明了所得结果的合理性. 相似文献
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时滞系统的H^∞状态反馈控制 总被引:21,自引:2,他引:19
提出求解时滞系统的H~∞状态反馈控制问题的代数方法。基于代数Riccati方程,给出了时滞系统的闭环传递函数H~∞范数小于等于某一给定界γ的充分条件,并通过适当构造Lyapunov函数,证明了闭环时滞系统是渐近稳定的。 相似文献
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考虑网络传输中存在的数据丢包和信号量化问题, 研究了基于数据丢包的非线性奇异脉冲系统设量化反馈控制器的设计方法. 首先给出一般非线性奇异脉冲系统的数学描述, 并在此基础上建立相应的具有丢包的闭环量化反馈控制系统的数学模型. 其次, 根据李雅普诺夫稳定性理论, 给出了奇异脉冲系统的渐近稳定的充分条件以及量化反馈控制器的设计方法. 应用本设计方法, 可以选择满足代数矩阵不等式条件的量化反馈增益, 实现系统渐近稳定. 最后通过对Chua混沌系统仿真, 表明利用本文设计的量化控制器能够保证闭环非线性奇异脉冲系统在具有数据丢包的情况下渐近稳定. 相似文献
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《计算机应用与软件》2016,(2)
化学反应优化算法起源于化学反应过程中的能量变化的模拟。提出一种利用化学反应优化算法对系统进行辨识的方法。即通过建立连续系统和离散系统的传递函数结构模型,首先将系统辨识问题转化为数学上求取相关参数的全局最优估计问题,然后利用化学反应优化算法对该问题进行求解。最后给出仿真实例,并且与遗传算法进行了比较,结果表明该方法具有较好的效果,且兼具速度快、精度高等特点。 相似文献
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针对一类广义时滞系统,假定系统的状态是完全可测的,基于线性矩阵不等式(LMI),通过构造Lyapunov泛函,给出了一种鲁捧H∞状态反馈控制器的设计,仅通过求解栩应的线性矩阵不等式就可得到鲁棒H∞状态反馈控制器。并证明了该方法不仪使得相应的闭环系统渐近稳定,又能保证闭环系统从扰动到受控输出之间传递函数的H∞范数不大于给定的指标值。用数值算例验证了所给方法的有效性。 相似文献
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采用代数方法研究基于分散动态补偿的矩形广义系统的正则化、无脉冲, 以及镇定问题. 首先给出了补偿后闭环系统正则与无脉冲的充要条件, 进而给出矩形广义系统能通过分散动态补偿镇定的充要条件. 这些条件涉及一系列简单不等式与等式是否存在正整数解问题. 所得结果揭示矩形系统及其动态补偿器的许多新的性质, 而且进一步说明对应方形系统与方形或矩形补偿器的结果仍是矩形系统结果的特例. 因而, 本文结果可以认为是方形系统相应结果的自然推广. 另外, 给出几个数字例子说明所得结果. 相似文献
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带有干扰的非线笥系统的无源化控制 总被引:2,自引:1,他引:1
本语文提出并考察一类带有干扰的一性系统的无源化控制问题,即构造反馈控制器使得相应的闭环系统无源且保持内部稳定,本文给出了在此馈通项下系统无源的一个充分必要条件,另外,针对在特殊情形下的无源控制,应用Lyapunov递归方法得到了解决该问题的一个条件,特别利用控制Lyapunov函数,对较一般情形的非线性系统构造出一类有效的无源化控制器。 相似文献
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R. Unnikrishnan 《Computers & Electrical Engineering》1980,7(4):279-285
A method for system identification using sampled values of the initial transient step or impulse response is described. A polynomial fit of the sampled values is made using Lagrange interpolation and the Laplace transform of the output observed is determined. Then the coefficients of the numerator and denominator polynomials of the system transfer function are determined by minimizing the square of the difference between the observed and calculated values of the Laplace transform of the output variable at a number of discrete points. This process is considerably simplified by the use of tables of coefficients for the numerical calculation of Laplace transforms. 相似文献
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谐振式光纤陀螺环路锁频技术研究 总被引:2,自引:0,他引:2
谐振式光纤陀螺(Resonator Fiber Optic Gyro,R-FOG)是基于Sagnac效应产生的谐振频率差来测量旋转角速率的一种新型光学传感器.对基于调相谱检测技术R-FOG系统中的环路频率锁定技术进行了研究.通过对系统光学回路和处理电路部分分别进行建模,利用反馈控制系统理论,分析了整个环路的传递函数,得到了整个环路起主导作用的简化模型.利用该简化模型,在一定的光学回路参数条件下,得到了处理电路的最佳锁定参数,并进一步在实验中得到验证. 相似文献
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Existence results for the LQG-controller are investigated. An infimal Riccati equation based controller may potentially give closed loop eigenvalues on the unit circle. Assuming left and right invertibility it is shown that there exists an optimal controller if and only if the Riccati equation based controller stabilizes the closed loop system after removal of all its unobservable and uncontrollable modes. Furthermore this reduced controller is the optimal controller, and its transfer function is unique. This existence condition is a considerable simplification of the more general geometric condition recently derived by Trentelman and Stoorvogel. 相似文献
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Bengt Lennartson Torsten Söderström Sun Zeng-Qi 《International journal of control》2013,86(6):2077-2083
The effects of sampled-data control on linear stochastic systems are considered. A simplified formulation of the continuous-time linear quadratic criterion is presented. The sampled version of this performance function can be obtained by solving just one integral. It is also shown how the explicit value of the criterion can be calculated for an arbitrary controller. Finally, it is demonstrated that the optimization of a continuous-time and a discrete-time criterion sometimes gives a different closed- loop performance. 相似文献
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Ming‐Chang Pai 《国际强度与非线性控制杂志
》2011,21(7):725-737
》2011,21(7):725-737
Input shaping technique is widely used in reducing or eliminating residual vibration of flexible structures. It is easy to implement and achieve the exact elimination of the residual vibration if the dynamics of the system are known accurately. However, it is not very robust to parameter uncertainties and external disturbances. In this paper, a closed‐loop input shaping method is developed for reducing or eliminating residual vibration of flexible structure systems with parameter uncertainties and external disturbances. The algorithm is based on input shaping control and discrete‐time sliding mode control. It is shown that the proposed scheme guarantees closed‐loop system stability, and yields good performance and robustness in the presence of parameter uncertainties and external disturbances as well. The selection of switching surface and the existence of sliding mode are two important issues, which have been addressed. The knowledge of upper bound of uncertainties is not required. Furthermore, it is shown that increasing the robustness to parameter uncertainties does not lengthen the duration of the impulse sequence. Simulation results demonstrate the efficacy of the proposed closed‐loop input shaping control scheme. Copyright © 2010 John Wiley & Sons, Ltd. 相似文献
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Control laws are often designed for linear time-varying processes by solving the algebraic Riccati equation for the optimum control law at each instant of time. Such designs may be called "adiabatic approximations." Although they are not optimum, they can result in closed loop systems which perform well. The stability of systems designed using the adiabatic approximation can be assessed by the "second method of Lyapunov." Stability is assured if a readily computed test matrixF , which depends on the rate of change of the parameters of the system, is negative-definite. 相似文献
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采用了微分-代数方程求解的雷同策略,只在离散区段内满足无约束的积分,而在离散节点处则用约束冲量(Lagrange乘子向量)让轨道发生转折,给出了非完整约束动力系统的离散积分格式.数值例题的效果表明,本文给出的积分算法严格满足节点的非完整约束,具有良好的长时间积分性能. 相似文献