共查询到19条相似文献,搜索用时 109 毫秒
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本文讨论一类一致可测非线性系统全局渐近稳定观测器的设计.所讨论的非线性系统是非Lipschitz的,具有混合指数幂(指数幂大于1或小于1).所设计的观测器有两项齐次误差项,其中一项指数幂大于1,另一项指数幂小于1.此外,所设计的观测器结构简单.通过构造适当的齐次Lyapuonv函数证明了状态误差渐近收敛性.最后两个数值仿真实验验证本方法的有效性. 相似文献
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Lipschitz非线性系统观测器设计新方法 总被引:9,自引:0,他引:9
考虑了非线性项满足Lipschitz条件的非线性系统观测器设计问题, 利用Lyapunov方法给出了新的判断观测误差稳定性的条件, 并由所给的条件通过求解线性矩阵不等式来设计观测器. 通过算例与其它方法进行的比较, 说明了所提方法的有效性. 相似文献
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非线性系统大范围渐近稳定状态观测器设计 总被引:3,自引:3,他引:0
提出了一类化工过程中非线性系统大范围渐近稳定状态观测器的构造方法。通过配置极点选择时变状态反馈增益阵保证观测器的性能,使观测器能在大范围内稳定工作。其稳定性可由Lyaptmov理论得到证明,存在模型误差和噪声干扰时也有较好的鲁棒性。从工程应用的角度,提出了分区域配置矩阵的策略,大大减少了在线计算量。同时改进了算法,保证能在应用中正确离线计算。在CSPR仿真器上的应用结果证明了该方法的良好性能。 相似文献
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广义时滞系统的降维观测器设计 总被引:1,自引:0,他引:1
讨论广义时滞系统的降维观测器的设计方法.通过引入矩阵的广义逆矩阵,给出在一定条件下降维观测器的具体形式,然后分别利用广义逆矩阵及Lyapunov函数方法给出这些条件成立的具体条件及验证方法。最后给出一个例子来说明方法的有效性。 相似文献
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讨论了一类非线性相似组合系统的基于估计状态反馈的分散控制问题。构造了非线性渐近状态观测器,并证明了状态误差按指数收敛到零。同时,给出了组合系统经估计状态向量的反馈控制可实现分散镇定的一个充分条件。 相似文献
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广义系统一类鲁棒观测器的设计 总被引:3,自引:0,他引:3
本文讨论了用观测器消除广义系统中由于模型误差、非线性因素、参数不确定及输入输出噪声产生的量测误差的可能性,给出了这类鲁棒观测器的存在条件,得到了相应的算法. 相似文献
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The reduced-order observer-based finite-time control problem for one-sided Lipschitz nonlinear switched singular systems is addressed in this paper. First, the design method of the reduced-order observer is given via state transformation. Then, based on the average dwell time (ADT) approach, some new sufficient conditions for regularity, impulse-freeness, have a unique solution and finite-time boundedness (FTB) of the dynamic augmented systems are obtained by exploring the reduced-order observer-based controller. Further, the lower finite-time bound can be obtained by using singular value decomposition method. And the state feedback gain and the observer gain are computed by solving linear matrix inequalities (LMIs). Finally, the validity of the obtained method is illustrated by means of a numerical example and a DC motor system. 相似文献
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非线性时滞系统的观测器设计 总被引:1,自引:0,他引:1
研究了一类满足Lipschitz条件的下三角非线性时滞系统的观测器设计问题.通过构造适当的Lyapunov泛函,用递推法给出了使得误差动态系统渐近趋于零的非线性时滞系统的状态观测器. 相似文献
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We obtain a necessary and sufficient condition for a discrete-time nonlinear system to be locally state equivalent to the nonlinear observer form. The result looks similar to the continuous counterpart except for the fact that Ad-operation is utilized instead of ad-operation. 相似文献
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In this article, the problem of state observer design for a class of multi-input multi-output nonlinear systems is considered. Via state transformation and the constructive use of a Lyapunov function, the new observer design approach is addressed by introducing a parameter ? in the observer. Some sufficient conditions are given which guarantee the estimation error to asymptotically converge to zero under adaptive conditions. An example is included to illustrate the method. 相似文献
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This paper investigates the exponential observer design problem for one‐sided Lipschitz nonlinear systems. A unified framework for designing both full‐order and reduced‐order exponential state observers is proposed. The developed design approach requires neither scaling of the one‐sided Lipschitz constant nor the additional quadratically inner‐bounded condition. It is shown that the synthesis conditions established include some known existing results as special cases and can reduce the intrinsic conservatism. For design purposes, we also formulate the observer synthesis conditions in a tractable LMI form or a Riccati‐type inequality with equality constraints. Simulation results on a numerical example are given to illustrate the advantages and effectiveness of the proposed design scheme. Copyright © 2016 John Wiley & Sons, Ltd. 相似文献
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This paper is concerned with the problem of the full-order observer design for a class of fractional-order Lipschitz nonlinear systems. By introducing a continuous frequency distributed equivalent model and using an indirect Lyapunov approach, the sufficient condition for asymptotic stability of the full-order observer error dynamic system is presented. The stability condition is obtained in terms of LMI, which is less conservative than the existing one. A numerical example demonstrates the validity of this approach. 相似文献
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Elaheh Arefinia Heidar Ali Talebi Ali Doustmohammadi 《International journal of systems science》2017,48(7):1404-1415
This paper proposes a robust adaptive observer for a class of singular nonlinear non-autonomous uncertain systems with unstructured unknown system and derivative matrices, and unknown bounded nonlinearities. Unlike many existing observers, no strong assumption such as Lipschitz condition is imposed on the recommended system. An augmented system is constructed, and the unknown bounds are calculated online using adaptive bounding technique. Considering the continuous nonlinear gain removes the chattering which may appear in practical applications such as analysis of electrical circuits and estimation of interaction force in beating heart robotic-assisted surgery. Moreover, a simple yet precise structure is attained which is easy to implement in many systems with significant uncertainties. The existence conditions of the standard form observer are obtained in terms of linear matrix inequality and the constrained generalised Sylvester's equations, and global stability is ensured. Finally, simulation results are obtained to evaluate the performance of the proposed estimator and demonstrate the effectiveness of the developed scheme. 相似文献
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According to the well-posed problem of nonlinear singular distributed parameter systems, first of all, the nonlinear GE-semigroup induced by a continuous (possibly nonlinear) operator is introduced in Banach space, which is a generalization of GE-semigroup (i.e., generalized operator semigroup), and the properties of nonlinear GE-semigroup are discussed; and then the existence, uniqueness and constructive expression for the strong solution of nonlinear singular distributed parameter system are discussed by nonlinear GE-semigroup; at last, the exponential stability of nonlinear singular distributed parameter system is studied by using nonlinear GE-semigroup, functional analysis and operator theory in Banach space. 相似文献