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考虑系统外界干扰、系统参数摄动等非线性扰动环节对中立型时滞系统的H∞影响,提出基于Lyapunov稳定性理论的鲁棒H∞控制器的设计思想.利用线性矩阵不等式(LMI)方法,给出了该类具有状态非线性不确定性中立型时滞系统的鲁棒∞控制器的设计实例.在非线性不确定函数满足增益有界的条件下,得到了该类时滞系统满足鲁棒∞性能的一个充分条件.通过求解一个线性矩阵不等式LMI,即可获得鲁棒∞控制器.仿真结果表明了基于Lyapunov稳定性理论,LMI技术设计的控制器克服了系统外界非线性干扰或系统本身非线性参数摄动的影响,实现了闭环系统的H∞性能条件下的渐近稳定,满足了该系统鲁棒H∞控制的要求. 相似文献
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非线性中立型时滞系统的鲁棒耗散控制 总被引:2,自引:0,他引:2
研究了非线性中立型时滞系统的鲁棒耗散控制问题,系统包含状态时滞和非线性不确定性,基于Lyapunov稳定性理论,给出了该类时滞系统在非线性不确定性满足增益有界的条件下耗散控制器存在的充分条件,并通过线性矩阵不等式(LMI)方法构造得出耗散控制状态反馈律,最后给出一个数值算例验证了本文结果的有效性. 相似文献
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针对一类具有时变时延以及Lipschitz非线性项的网络化线性参数变化系统,研究了系统中存在外部扰动、执行器和传感器同时发生随机故障时的容错控制问题。用Bernoulli分布序列描述执行器和传感器发生的随机故障,利用自由权矩阵方法处理时变时延。根据Lyapunov-Krasovskii稳定性定理和线性矩阵不等式(LMI)方法求出◢H◣▼∞▽容错控制器存在的充分条件,然后通过利用近似基函数和网格化技术将无限维的LMI求解问题转换为有限维的LMI问题,得到了相应的容错控制器增益。最后,通过数值仿真验证了所设计方法的有效性。 相似文献
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Fractional‐order–dependent global stability analysis and observer‐based synthesis for a class of nonlinear fractional‐order systems 下载免费PDF全文
This paper focuses on proposing novel conditions for stability analysis and stabilization of the class of nonlinear fractional‐order systems. First, by considering the class of nonlinear fractional‐order systems as a feedback interconnection system and applying small‐gain theorem, a condition is proposed for L2‐norm boundedness of the solutions of these systems. Then, by using the Mittag‐Leffler function properties, we show that satisfaction of the proposed condition proves the global asymptotic stability of the class of nonlinear fractional‐order systems with fractional order lying in (0.5, 1) or (1.5, 2). Unlike the Lyapunov‐based methods for stability analysis of fractional‐order systems, the new condition depends on the fractional order of the system. Moreover, it is related to the H∞‐norm of the linear part of the system and it can be transformed to linear matrix inequalities (LMIs) using fractional‐order bounded‐real lemma. Furthermore, the proposed stability analysis method is extended to the state‐feedback and observer‐based controller design for the class of nonlinear fractional‐order systems based on solving some LMIs. In the observer‐based stabilization problem, we prove that the separation principle holds using our method and one can find the observer gain and pseudostate‐feedback gain in two separate steps. Finally, three numerical examples are provided to demonstrate the advantage of the novel proposed conditions with the previous results. 相似文献
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无速度传感器的表面式永磁同步电机无源控制策略 总被引:3,自引:0,他引:3
针对高性能的表面式永磁同步电机(SPMSM)调速系统,考虑电机实际运行过程中逆变器非线性因素对传动系统的影响,推导出考虑逆变器的SPMSM系统统一端口受控耗散哈密顿数学模型。基于能量成形方法和端口受控耗散哈密顿系统原理,设计SPMSM驱动系统的无源控制器,利用带扩张状态观测器的自适应滑模控制设计速度调节器,得到??轴期望的电流并实现转速的估计,逆变器非线性扰动由扩张状态观测器进行补偿。仿真结果表明,所提出方法实现了较高的速度估计精度,使调速系统具有优良的动、静态性能。 相似文献
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Using a structure preserving observer, a dynamic output controller is proposed for a class of port‐Hamiltonian systems. The core of this method is based on the notion of contractive port‐Hamiltonian systems. The proposed method utilizes an extended form of IDA‐PBC (interconnection and damping assignment passivity‐based control), a well‐known controller design method for port‐Hamiltonian systems and paves the way for using IDA‐PBC in output control design of challenging control objectives, such as output tracking for underactuated mechanical systems. In the line of output control design, a useful separation principle for a class of port‐Hamiltonian systems is achieved, which is valuable in the field of nonlinear systems. Some simulations on magnetic levitation and ball on wheel testbeds show the potency and applicability of the proposed method. 相似文献
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《Automation Science and Engineering, IEEE Transactions on》2008,5(3):480-489
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《International journal of systems science》2012,43(14):2632-2662
ABSTRACTThe existing off-line observer/controller identification (OCID) method for linear systems is newly extended in this paper for off-line/on-line identification of known/unknown highly nonlinear systems, and a new input-constrained active fault-tolerant tracker is developed, based on the identified linear models. The advantages of the proposed extended on-line OCID method for linear/nonlinear systems are briefly described as follows: (i) Implement novel servo-control-oriented off-line OCID methods in observer and controller canonical forms for highly nonlinear systems; (ii) Is able to overcome the discontinuity induced by the singular value decomposition (SVD) that should be carried out at each sampling instant; (iii) It directly realises the identified parameters in the observer/controller canonical forms; this simplifies the identification process; (iv) Can be practically implemented for the on-line control of an unknown nonlinear system which was constituted by an unknown open-loop plant, an existing but unknown controller and/or an unknown observer; and (v) Can be utilised to develop a new active fault-tolerant controller to compensate the immovable existing controller of the practical operating system. Finally, the servo-control-oriented off-line OCID method for the highly nonlinear PUMA 560 manipulator is shown in the illustrative examples to demonstrate the superiority of the proposed method. 相似文献
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Mou Chen Bin Jiang Chang-sheng Jiang Qing-xian Wu 《Neural computing & applications》2010,19(7):945-951
In this paper, a robust control scheme is proposed for a class of time-delay uncertain nonlinear systems with unknown input
using the sliding mode observer. The sliding mode state observer is given with radial basis function neural networks, and
then the robust control scheme is presented based on the designed sliding mode observer. The developed observer-based control
scheme consists of two parts. One term is a linear controller and the other term is a neural network controller. Using the
Lyapunov method, a criterion for bounded stability of the closed-loop system is developed in terms of linear matrix inequalities.
Finally, a simulation example is used to illustrate the effectiveness of the proposed robust control scheme. 相似文献
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We propose an output feedback second‐order sliding mode controller to stabilize the cart on a beam system. A second‐order sliding mode controller is designed using a Lyapunov function‐based switching surface and finite‐time controllers, while the state estimator is designed based on the Luenberger‐like observer. The proposed observer extends the applicability of Luenberger‐like observer to nonlinear systems that are not input–output linearizable, but can be approximately input–output linearized. The approximation is based on the physical property of the system, wherein certain terms in the total energy are neglected. Extensive numerical simulations validate the robustness of the proposed controller to parametric uncertainties using estimated states. Copyright © 2009 John Wiley & Sons, Ltd. 相似文献
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针对表面式永磁同步电机( SPMSM) 驱动系统的非线性特点,着眼于调速系统的
高性能要求,基于互联和阻尼配置的能量成形方法和端口受控耗散哈密顿( PCHD) 系统原理,
研究了SPMSM 系统的统一PCHD 建模和速度控制问题。首先,从能量平衡的观点,建立了逆
变器、考虑铁损的SPMSM、机械负载一体的不确定系统统一PCHD 数学模型,然后在此基础
上,设计了SPMSM 驱动系统的无源控制器,逆变器非线性扰动由扩张状态观测器进行补偿,
最后利用自抗扰控制设计了速度调节器得到q 轴期望的电流,所得控制器更加简单和容易实
现。仿真结果表明,所提方法实现了全局稳定性控制、鲁棒性强; 调速系统具有优良的动、静
态性能。 相似文献
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本文针对考虑不确定性的飞行模拟转台伺服系统,提出了一种基于非线性干扰观测器的反步全局滑模补偿控制方法。该方法采用反步控制方法设计转速期望虚拟控制,然后利用非线性干扰观测器观测系统不确定干扰,进而对引入非线性干扰观测器的系统设计自适应全局滑模控制器,实现了飞行模拟转台伺服系统期望转角信号的鲁棒跟踪控制,仿真结果表明,该方法控制效果良好,具有很好的工程应用价值。 相似文献