共查询到20条相似文献,搜索用时 15 毫秒
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本文研究了离散LQ调节器系统鲁棒稳定性问题,稳定的不确定参数是通过考虑参数摄动的方向而求得的,这种方法比现有文献提供的结果具有更好的稳定范围。 相似文献
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不确定中立型系统鲁棒稳定及镇定的时滞相关准则 总被引:7,自引:2,他引:5
This paper concerns problem of the delay-dependent robust stability and stabilization for uncertain neutral systems. Some new delay-dependent stability criteria are derived by taking the relationship between the terms in the Leibniz-Newton formula into account. Free weighting matrices are given to express the relationship between the terms in the Leibniz-Newton formula and the new criteria are based on linear matrix inequalities such that the free weighting matrices can be easily obtained. Moreover, the stability criteria are also used to design the state-feedback controller. Numerical examples demonstrates that the proposed criteria are effective and are an improvement over the previous papers. 相似文献
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研究一类带模有界条件的非线性不确定系统的鲁棒镇定,定义了Lyapunov意义下的鲁棒镇定概念,得到了系统鲁棒镇定的充分必要条件。结果说明,在带模有界条件下,非线性不确定系统的鲁棒可镇定性与一个扩展的Hamilton Jacobi-Isaacs(HJI)微分不等式是否存在正解完全等价。 相似文献
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考虑状态矩阵中含不确定性的线性离散随机系统的鲁棒约束方差状态估计问题,即设计滤波增益,使摄动系统每个状态分量的估计误差方差的稳态值不大于各自预先给定值。给出了期望鲁棒滤波增益的存在条件及其解析表达式,并以数值算例说明了设计方法的直接性与有效性。 相似文献
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采用广义Lyapunov方程,讨论具有结构式不确定性线性系统的特征根在复平面上某些区域内的鲁棒群聚性,如果标称矩阵的所有特征根都在复平面上的特定区域内,本文所给出充分条件将保证当存在有结构式不确定性时矩阵的特征根也在同一区域内,所提出的判断比当前文献中的结论具有较少的保守性。 相似文献
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含结构参数扰动的线性连续系统的鲁棒约束方差状态估计* 总被引:2,自引:0,他引:2
本文考虑含结构参数扰动的线性连续随机系统的鲁棒约束方差状态估计问题,即设计滤波增益,使受扰系统每个状态分量的估计误差方差的稳态值不大于预先给定值,同时滤波矩阵具有期望的稳定裕度。本文给出了上述性能鲁棒滤波增益的存在条件及解析表达式,并提供了相应的数值例子。 相似文献
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In this paper, adaptive linear quadratic regulator (LQR) is proposed for continuous-time systems with uncertain dynamics. The dynamic state-feedback controller uses input-output data along the system trajectory to continuously adapt and converge to the optimal controller. The result differs from previous results in that the adaptive optimal controller is designed without the knowledge of the system dynamics and an initial stabilizing policy. Further, the controller is updated continuously using input-output data, as opposed to the commonly used switched/intermittent updates which can potentially lead to stability issues. An online state derivative estimator facilitates the design of a model-free controller. Gradient-based update laws are developed for online estimation of the optimal gain. Uniform exponential stability of the closed-loop system is established using the Lyapunov-based analysis, and a simulation example is provided to validate the theoretical contribution. 相似文献
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Quadratic Stabilization of Switched Uncertain Linear Systems: A Convex Combination Approach 下载免费PDF全文
Yufang Chang Guisheng Zhai Bo Fu Lianglin Xiong 《IEEE/CAA Journal of Automatica Sinica》2019,6(5):1116-1126
We consider quadratic stabilization for a class of switched systems which are composed of a finite set of continuoustime linear subsystems with norm bounded uncertainties. Under the assumption that there is no single quadratically stable subsystem, if a convex combination of subsystems is quadratically stable, then we propose a state-dependent switching law, based on the convex combination of subsystems, such that the entire switched linear system is quadratically stable. When the state information is not available, we extend the discussion to designing an output-dependent switching law by constructing a robust Luenberger observer for each subsystem. 相似文献
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不确定线性系统输出反馈鲁棒镇定的充要条件 总被引:9,自引:0,他引:9
研究不确定性线性系统的输出反馈鲁棒镇定问题,给出了具有范数有界参数不确定线性系统静态输出反馈鲁棒镇定的充要条件。所给方法的设计过程只需解一个特殊的代数Riccati不等式或代数Riccati方程算法实现简便。最后通过实例验证了本方法的有效性。 相似文献
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In this paper, we study the robust control for uncertain Markov jump linear singularly perturbed systems (MJLSPS), whose transition probability matrix is unknown. An improved heuristic algorithm is proposed to solve the nonlinear matrix inequalities. The results of this paper can apply not only to standard, but also to nonstandard MJLSPS. Moreover, the proposed approach is independent of the perturbation parameter and therefore avoids the ill-conditioned numerical problems. 相似文献
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焦建民 《计算技术与自动化》2013,(3):6-10
针对一类具有区间时变时滞和线性分式参数不确定性的离散奇异系统, 研究鲁棒稳定性问题。基于Lyapunov稳定性理论, 应用线性矩阵不等式方法, 给出不确定离散奇异时滞系统的新的时滞相关型稳定性准则。所给准则相比于已有一些结果, 包含较少的矩阵变量, 且具有较小的保守性。数值实例表明所得结果的有效性。 相似文献
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LIU Hua-Ping~ 《自动化学报》2005,(5)
In this paper,we study the robust control for uncertain Markov jump linear singularly perturbed systems(MJLSPS),whose transition probability matrix is unknown.An improved heuris- tic algorithm is proposed to solve the nonlinear matrix inequalities.The results of this paper can apply not only to standard,but also to nonstandard MJLSPS.Moreover,the proposed approach is independent of the perturbation parameter and therefore avoids the ill-conditioned numerical prob- lems. 相似文献
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Quadratic Stabilizability for Polytopic Uncertain Switched Linear Systems via Switched Observer 下载免费PDF全文
In this paper, we study a quadratic stabilizability problem via switched observer for uncertain continuous‐time switched linear systems in the sense that the subsystem's matrices are represented as a polytopic linear combination of vertex matrices. Firstly, sufficient conditions for polytopic uncertain continuous‐time switched linear systems to be quadratically stabilizable via state feedback are summarized. Next, sufficient conditions for polytopic uncertain switched linear systems to be quadratically stabilizable via switched observer are given under the assumption that output matrices of subsystems have no uncertainties. Further, a numerical example is also investigated. 相似文献