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研究线性时滞系统在外部正弦扰动作用下的前馈-反馈最优减振问题,提出了一种最优控制律的灵敏度设计方法.通过引入灵敏度参数并围绕它展开幂级数,将系统的最优控制问题简化为不含超前项和时滞项的两点边值问题族.通过截取最优控制级数的有限和获得原系统的前馈-反馈次优控制律.仿真结果表明,与经典状态反馈最优控制相比,本文的算法更加鲁棒,能更加有效地抑制正弦扰动. 相似文献
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选择性催化还原(Selective Catalytic Reduction,SCR)技术是目前火电厂广泛采用的烟气脱硝方法,SCR脱硝系统反应过程复杂,具有大惯性、大迟延、强扰动和不确定性等特点,传统的PID控制无法实现喷氨量的精确控制。因此提出了一种SCR脱硝系统的鲁棒抗扰动控制方法,在设计鲁棒PID控制器的基础上,利用鲁棒时滞滤波器来达到抑制系统强干扰的目的。仿真实验表明,鲁棒时滞滤波器的加入改善了系统的动态性能,同时使得系统具有突出的抗干扰能力。该方法结构简单、整定方便、鲁棒性好,值得在工程应用中推广。 相似文献
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采用频域的零点配置方法,通过在系统极点附近配置多个滤波器零点设计强鲁棒性的多峰极不灵敏(EI)最优随机时滞滤波器.此外通过考虑系统的阻尼变化,设计了对频率和阻尼误差均有较强鲁棒性的完全不灵敏最优随机时滞滤波器.该设计方法简单实用.在桥式起重机防摆控制中的应用证明了该方法的良好性能,与基本的时滞滤波器进行比较,该方法设计的鲁棒时滞滤波器能更有效地抑制负载的残留振荡,对绳长变化具有更好的鲁棒性. 相似文献
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用区间变量描述控制系统参数的不确定性,提出了不确定时滞系统鲁棒H_∞控制的鲁棒可靠性方法,基于鲁棒可靠性的不确定时滞系统最优状态反馈H_∞控制器设计方法,将系统的最优控制器设计归结为基于线性矩阵不等式(LMI)的优化问题.所设计的控制器可以在满足对所有不确定性鲁棒可靠的前提条件下,具有最优的H_∞鲁棒性能,并能在控制系统的设计中综合考虑控制性能、控制代价和鲁棒可靠性.数值算例说明了所提方法的有效性和可行性. 相似文献
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一类不确定非线性离散时滞系统的鲁棒H∞滤波设计 总被引:5,自引:0,他引:5
考虑一类同时带有非线性动态和参数不确定性的离散时滞系统的鲁棒H∞滤波设计问题.假设参数不确定性具有线性分式形式,而非线性动态满足Lipschitz条件,给出滤波器使误差系统鲁棒渐近稳定且达到指定的干扰抑制水平.对参数已知情形,先建立广义有界实引理,然后给出H∞滤波器的存在条件,证明了H∞滤波器的存在性可归结为线性矩阵不等式的可解性,基于线性矩阵不等式给出了H∞滤波器的综合方法和步骤.对参数不确定性情形,通过引进标度参数,将不确定非线性离散时滞系统的鲁棒H∞滤波问题转化为确定系统的H∞滤波设计.最后给出仿真例子验证所得结果的有效性. 相似文献
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合理利用时滞可能获得意想不到的性能.研究表明,系统的不确定性以及受到的外部
干扰可以利用时滞观测器来进行观测,从而实现系统的鲁棒控制.本文提出了一种低通滤波时
滞观测器.避免了常规时滞观测器控制中出现的控制信号颤振,得到了一种结构新颖的控制器.
仿真结果表明时滞观测器控制系统可以很好地抑制系统的不确定性以及受到的外部干扰,是一
种性能优良的鲁棒控制方法. 相似文献
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In this paper, the optimal filtering problem for a linear system over observations with multiple delays is treated proceeding from the general expression for the stochastic Ito differential of the optimal estimate and its variance. As a result, the optimal filtering equations similar to the traditional Kalman–Bucy ones are obtained in the form dual to the Smith predictor, commonly used for robust control design in time‐delay systems. In the example, the obtained optimal filter over observations with multiple delays is verified for a sample system and compared with the best Kalman–Bucy filter available for delayed measurements. Copyright © 2004 John Wiley & Sons, Ltd. 相似文献
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This paper presents several new robust stability conditions for linear discrete‐time systems with polytopic parameter uncertainties and time‐varying delay in the state. These stability criteria, derived by defining parameter‐dependent Lyapunov functions, are not only dependent on the maximum and minimum delay bounds, but also dependent on uncertain parameters in the sense that different Lyapunov functions are used for the entire uncertainty domain. It is established, theoretically, that these robust stability criteria for the nominal and constant‐delay case encompass some existing result as their special case. The delay‐dependent and parameter‐dependent nature of these results guarantees the proposed robust stability criteria to be potentially less conservative. 相似文献
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Michael Basin Leonid Fridman Jesús Rodriguez‐Gonzlez Pedro Acosta 《Asian journal of control》2003,5(4):557-567
This paper presents the optimal regulator for a linear system with multiple time delays in control input and a quadratic criterion. The optimal regulator equations are obtained using the duality principle, which is applied to the optimal filter for linear systems with multiple time delays in observations. Performance of the obtained optimal regulator is verified in the illustrative example against the best linear regulator available for linear systems without delays. Simulation graphs and comparison tables demonstrating better performance of the obtained optimal regulator are included. The paper then presents a robustification algorithm for the obtained optimal regulator based on integral sliding mode compensation of disturbances. The general principles of the integral sliding mode compensator design are modified to yield the basic control algorithm oriented to time‐delay systems, which is then applied to robustify the optimal regulator. As a result, the sliding mode compensating control leading to suppression of the disturbances from the initial time moment is designed. The obtained robust control algorithm is verified by simulations in the illustrative example. 相似文献
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This paper deals with the problem of stability and robust control for both certain and uncertain continuous‐time singular systems with state delay. Systems with norm‐bounded parameter uncertainties are considered. Robust delay‐dependent stability criteria and linear memoryless state feedback controllers based on linear matrix inequality are obtained. By choosing some Lyapunov‐Krasovskii functionals, neither model transformation nor bounding for cross terms is required in the derivation of our delay‐dependent results. Finally, numerical example is provided to illustrate the effectiveness of the proposed method. 相似文献