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LURIE控制系统的时滞相关绝对稳定性判据 总被引:24,自引:2,他引:24
1 引言关于具有时滞的Lurie控制系统的绝对稳定性的讨论已有不少结果[1~4],其绝对稳定性条件有时滞无关条件和时滞相关条件两种.由于时滞无关条件缺少了时滞的信息,因此必然会使其稳定性具有保守性.下面对具有多个时变时滞的Lurie控制系统,利用不同于文献[1]的方法进行讨论,给出系统绝对稳定的时滞相关判据.算例表明,与文献[1]的结果相比本文结果可降低保守性. 相似文献
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基于增广Lyapunov泛函的Lurie时滞系统的绝对稳定性 总被引:2,自引:0,他引:2
对Lurie时滞系统的绝对稳定性问题进行了研究. 利用增广的Lyapunov泛函结合自由权矩阵方法, 得到了系统基于线性矩阵不等式(LMI)的时滞相关绝对稳定条件. 数值实例表明本文方法所得结果要优于现有文献中的结果. 相似文献
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本文基于一个新型滞后动态系统指数稳定性定理和两个准备引理, 采用 Lyapunov 函数稳定性分析新方法, 建立了线性多时变时滞系统保守性少的稳定性条件. 与文献中已有的一些结果不同, 所建立的稳定性条件不依赖于时变时滞的变化率. 因此, 所建立的结果适用于具有非常快变时滞的系统. 文中给出了一个例子展示所得结果好于直接采用标准的 Razumikhin 型条件所得的结果. 相似文献
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具有时滞的线性区间系统的鲁棒稳定性 总被引:5,自引:0,他引:5
本文给出了线性区间时滞系统鲁棒稳定性的一些结果,这些结果推广和改进了前人关于线性时滞系统鲁棒稳定性的相关结论,同时还讨论了线性区间时滞系统的稳定度,最后讨论了线性区间时滞大系统的鲁棒稳定性. 相似文献
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具有时滞的线性区间系统的鲁棒稳定性 总被引:3,自引:1,他引:3
本文给出了线性区间时滞系统鲁棒稳定性的一些结果,这些结果推广和是了前人关于线性时滞系统鲁棒稳定性的相关结论,同时还讨论了线性区间时滞系统的稳定度,最后讨论了线性区间时滞大系统的鲁棒稳定性。 相似文献
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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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带时滞的线性时变奇异系统的稳定性 总被引:2,自引:0,他引:2
通过比较方法建立了一类带时滞的线性时变奇异系统的稳定性判据,并讨论了相应的带有时滞的时变区间奇异系统的稳定性,给出了一个稳定性的比较定理。 相似文献
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The stability of nonnegative discrete systems with interval uncertainty is discussed. For this class of system a necessary and sufficient condition for the stability is provided when all elements of the system matrix are assumed to be specified by intervals. An illustrative example is used as a guideline to demonstrate the effectiveness of the result. Simple computational tests are suggested, and their usefulness in this framework is discussed. The possible extension of this result to more general classes of systems is addressed 相似文献
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Jun‐Juh Yan 《国际强度与非线性控制杂志
》2003,13(6):519-532
》2003,13(6):519-532
A sliding mode controller is developed for uncertain time‐delay systems with a class of nonlinear inputs. Two main results are derived in this paper. The first result is the presentation of a new delay‐dependent stability condition of uncertain time‐delay systems. In a comparison example, this stability condition is shown to be less conservative than the ones reported recently. The second result is to present a new sliding mode control for uncertain time‐delay systems subjected to a class of nonlinear inputs. The stability of time‐delay systems with unmatching condition in the sliding mode is also discussed. Two illustrative examples are included to demonstrate the superiority of the obtained results. Copyright © 2003 John Wiley & Sons, Ltd. 相似文献
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On formalism and stability of switched systems 总被引:1,自引:1,他引:0
In this paper,we formulate a uniform mathematical framework for studying switched systems with piecewise linear partitioned state space and state dependent switching.Based on known results from the the... 相似文献
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基于广义频率响应函数的非线性控制系统的闭环稳定性研究 总被引:2,自引:1,他引:2
本文基于广义频率响应函数,讨论了一类非线性控制系统的闭环性问题,给出了输入输出频域稳定性判据条件,最后,利用仿真例子对结论进行了验证。 相似文献
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Exponential stabilization of nonholonomic dynamic systems by smooth time-varying control 总被引:5,自引:0,他引:5
A general dynamic model is proposed for describing a large class of nonholonomic systems including extended chained systems, extended power systems, underactuated surface vessel systems etc. By introducing an assistant state variable and a time-varying state transformation based on the concept of minimal dilation degree, this class of nonholonomic systems is transformed into linear time-varying control systems, and the asymptotic exponential stability is thus achieved by using a smooth time-varying feedback control law. The existence and uniqueness of the minimal dilation degree for the discussed systems are also proved under certain conditions. 相似文献
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Rotea M.A. Corless M. Da D. Petersen I.R. 《Automatic Control, IEEE Transactions on》1993,38(5):799-803
The relation between the notions of robust stability and quadratic stability for uncertain systems with structured uncertainty due to both real and complex parameter variations is discussed. Examples are presented to demonstrate that for systems containing at least two uncertain blocks, the notions of robust stability for complex parameter variations and quadratic stability for real parameter variations are not equivalent. A byproduct of these examples is that, for this class of systems, quadratic stability for real perturbations need not imply quadratic stability for complex perturbations. This is in stark contrast with the situation in the case of unstructured uncertainty, for which it is known that quadratic stability for either real or complex perturbations is equivalent to robust stability for complex perturbations, and thus equivalent to a small gain condition on the transfer matrix that the perturbation experiences 相似文献