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考虑具有区间时变时滞二维(2-D) 离散系统的时滞相关稳定性和控制问题. 选取含有时滞上下界的Lyapunov 函数, 对其差分时考虑到所有项, 结合2-DJensen 不等式, 由线性矩阵不等式给出系统新的时滞相关稳定性准则. 准则中含有更少的待定变量, 降低了数值计算负担, 并且比一些已有结果具有更小的保守性. 基于稳定性准则, 由状态反馈实现了系统的稳定控制. 最后, 通过数值算例表明了所得结果的有效性和优越性.
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讨论一类具有扇区非线性的时变时滞系统的绝对稳定性问题.基于时滞分段的思想,构造一种新的Lyapunov 泛函,进一步应用自由权矩阵结合积分不等式方法,并充分考虑时变时滞和时滞上界之间的关系,得到了基于LMI的具有更低保守性的时滞相关绝对稳定条件.最后,数值实例表明所提方法的有效性和相比已有结果的优越性. 相似文献
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基于二次分离方法研究时变时滞系统的时滞相关稳定性问题.通过引入更为严格的积分二次约束,取得保守性更小的稳定性判据.借鉴时变时滞分解思想,提出基于线性矩阵不等式的改进的稳定性判据.数值算例表明了所提出方法的有效性. 相似文献
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针对加性时变时滞不确定神经网络的时滞相关鲁棒耗散性问题,提出了一种更一般化的激活函数。与以往研究不同,充分考虑了关于神经元激活函数和加性时变时滞的充分信息,通过使用一些新的积分项构造合适的Lyapunov-Krasovskii泛函(LKF),并利用新生成的单积分不等式来计算其导数,包括延森不等式和维特林积分不等式的特殊情形。利用线性矩阵不等式(LMI)技术建立了一个新的时滞相关的不守恒全局渐近稳定性和耗散准则。最终通过计算和数值仿真验证了所提理论的有效性。 相似文献
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研究具有时变时滞和扇区有界非线性的中立型系统的绝对稳定性问题.根据时变时滞分段分析思想,构造一个新的Lyapunov-Krasovskii泛函,得到了一些保守性更小的基于线性矩阵不等式的时滞相关绝对稳定性判据.采用凸组合方法,可以避免忽略Lyapunov-Krasovskii泛函微分中的有用项.数值算例表明了所提出方法的有效性. 相似文献
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一类非线性时滞系统的稳定化控制器设计研究 总被引:6,自引:0,他引:6
针对一类单控制滞后的非线性时滞系统,利用非线性状态变换的方法进行非线性变
换,得到一线性时滞系统模型;然后利用一带控制记忆的积分变换进行精确无滞后化变换,得
到一无滞后的线性能控标准型系统,从而利用分步设计的思想.实现非线性时滞系统的稳定
化控制.一数值例子的仿真研究说明了该方法的有效性. 相似文献
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A Computing Approach for Delay Margin of Linear Fractional‐Order Retarded Systems with Commensurate Time Delays 下载免费PDF全文
Xiaozhong Liao 《Asian journal of control》2014,16(6):1891-1896
This paper proposes a computing approach for the delay margin of fractional‐order retarded systems with commensurate time delays. By the Orlando formula, a matrix constructed by the coefficients and commensurate fractional‐order of the characteristic function is defined. By calculating the eigenvalues of this matrix, the existence conditions and computing approach are proposed. If the matrix has some positive real eigenvalues, a finite delay margin exists. If the matrix has no positive real eigenvalue, the delay margin is infinity and the system is stable, independent of the delay margin. Finally, a numerical example and simulation results are given to demonstrate the effectiveness of this approach. 相似文献
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线性时滞系统输入-输出能量解耦的时滞相关条件 总被引:1,自引:0,他引:1
提出一种针对具有时变时滞的线性时滞系统的输入 输出能量解耦方法, 即从输入-输出的能量关系上实现近似解耦, 使得任何一个输入的能量主要控制对应的一个输出的能量, 对其它输出能量的影响尽可能小. 这种方法采用了时滞系统研究中的时滞相关研究方法, 得出的结论相对于时滞无关的结论具有较少的保守性. 相似文献
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Stabilization of strict‐feedback nonlinear systems with input delay using closed‐loop predictors 下载免费PDF全文
Filippo Cacace Francesco Conte Alfredo Germani Pierdomenico Pepe 《国际强度与非线性控制杂志
》2016,26(16):3524-3540
》2016,26(16):3524-3540
In this paper, we consider the control problem of strict‐feedback nonlinear systems with time‐varying input and output delays. The approach is based on the usual observer/predictor/feedback approach, but the novelty is the use of the closed‐loop dynamics in the predictor. This approach allows to develop two designs, an instantaneous predictor and a delay differential equation‐based predictor, that both attain the same performance in terms of system trajectories and input signal as in the case with no delays. The design based on delay differential equations allows to build a cascade of predictors to deal with arbitrarily large delay bounds. The resulting controller is much simpler to implement than classical infinite‐dimensional predictors, and it is robust with respect to actuation and measurement disturbances. We illustrate the approach with an application to the control of a chaotic system with input delay. Copyright © 2016 John Wiley & Sons, Ltd. 相似文献
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We consider the problem of controlling a linear system when the state is available with a known time-varying delay (delayed-state feedback control) or the actuator is affected by a delay. The solution proposed in this paper consists in partially assigning the spectrum of the closed-loop system to guarantee the exponential zero-state stability with a prescribed decay rate by means of a finite-dimensional control law. A non conservative bound on the maximum allowed delay for the prescribed decay rate is presented, which holds for both cases of constant and time-varying delays. An advantage over recent and similar approaches is that differentiability or continuity of the delay function is not required. We compare the performance of our approach, in terms of delay bound and input signal, with another recent approach. 相似文献
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一类带有时延的非线性网络控制系统可靠模糊控制 总被引:2,自引:0,他引:2
研究了带有状态时延及执行器故障的非线性网络控制系统的可靠模糊控制问题. 利用输入时延方法, 将带有网络诱导时延和数据包丢失的非线性网络控制系统等价的转化为具有时变时延的Takagi-Sugeno(T-S)模糊系统. 时延对象的状态信息, 采用时滞分解方法, 得以充分的考虑. 并利用锥补线性化迭代算法, 将非凸的稳定性条件转化成可行的线性矩阵不等式(LMI)的形式. 文中将更紧的界处理方法(相互凸组合技术)与不相关增广矩阵项引入到Lyapunov函数的处理当中, 获得保守性更小的稳定性条件. 数值算例验证了该方法的有效性. 相似文献
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This paper proposes a systematic methodology for the enhancement of robust stability and performance of a fuzzy parametric uncertain time‐delay system. A fuzzy parametric uncertain time‐delay system is an example for a linear time‐invariant uncertain time‐delay system with fuzzy coefficients. By using the nearest approximation, these fuzzy coefficients are approximated into crisp sets called intervals to get an interval system. The proposed approach develops the necessary and sufficient stability conditions of interval polynomials for determining the robust stability. Then, by using these developed stability conditions, a set of inequalities in terms of controller parameters are obtained from the closed‐loop characteristic polynomial of fuzzy parametric uncertain time‐delay system. Finally, these inequalities are solved to obtain robust controller with the help of a differential evolution algorithm for an unstable fuzzy parametric uncertain time‐delay system. Consequently, a lead‐lag compensator is constructed based on the frequency domain approach to improve the performance of the fuzzy parametric uncertain time‐delay system. The proposed method has the advantage of less computational complexity and easy to implement on a digital computer. The viability of the proposed methodology is illustrated through a numerical example for its successful implementation. The efficacy of the proposed methodology is also evaluated against the available approach in the literature and the simulation results are successfully implemented for robust stability and performance of fuzzy parametric uncertain time‐delay systems. 相似文献
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Zhenxue HE Limin XIAO Fei GU Li RUAN Zhisheng HUO Mingzhe LI Mingfa ZHU Longbing ZHANG Rui LIU Xiang WANG 《Frontiers of Computer Science》2019,13(5):1102
Delay optimization has recently attracted significant attention. However, few studies have focused on the delay optimization of mixed-polarity Reed-Muller (MPRM) logic circuits. In this paper, we propose an efficient delay optimization approach (EDOA) for MPRM logic circuits under the unit delay model, which can derive an optimal MPRM logic circuit with minimum delay. First, the simplest MPRM expression with the fewest number of product terms is obtained using a novel Reed-Muller expression simplification approach (RMESA) considering don’t-care terms. Second, a minimum delay decomposition approach based on a Huffman tree construction algorithm is utilized on the simplestMPRM expression. Experimental results on MCNC benchmark circuits demonstrate that compared to the Berkeley SIS 1.2 and ABC, the EDOA can significantly reduce delay for most circuits. Furthermore, for a few circuits, while reducing delay, the EDOA incurs an area penalty. 相似文献