共查询到20条相似文献,搜索用时 15 毫秒
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This paper presents a procedure for designing a full state observer and feedback control law which will stabilize a given uncertain linear system. The uncertain linear systems under consideration are described by state equations which depend on uncertain parameters. These uncertain parameters may be time varying. Their values, however, are constrained to lie within known compact bounding sets. The design procedure involves solving two algebraic Riccati equations. A feature of the design procedure presented is the fact that it reduces to the standard LQG design procedure if the system contains no uncertain parameters. 相似文献
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Esmaeil Siahlooei Seyed Abolfazl Shahzadeh Fazeli Seyed Mehdi Karbassi 《Asian journal of control》2020,22(5):1860-1869
In this paper, we propose a method for eigenvalue assignment using linear control systems containing uncertain elements. Uncertain systems are systems described by state equations which depend on uncertain parameters. In this paper, uncertainty is modeled with interval numbers. The proposed method assigns prescribed eigenvalues to a state feedback control system. Also, we introduce two interval operations to be used in our method use them. Some numerical experiments are presented to illustrate the effectiveness of the proposed method. 相似文献
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The delay-dependent robust stabilization problem for a class of uncertain linear timedelay systems containing saturating actuator is considered in this paper. The uncertain time-delay systems under consideration are described by state differential equations with time-varying unknown-but-bounded uncertain parameters and delayed state. The delay is assumed to be constant bounded but unknown. New robust stability criteria and a sufficient condition for the existence of memoryless robust stabilizing control law are derived. The results depend on the size of the delay and are given in terms of several linear matrix inequalities (LMIs). A numerical example is presented to illustrate the obtained results. 相似文献
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Yong-Yan Cao You-Xian Sun Chuwang Cheng 《Automatic Control, IEEE Transactions on》1998,43(11):1608-1612
This paper deals with the problem of robust stabilization for uncertain systems with multiple state delays. The parameter uncertainties are time-varying and unknown but are norm-bounded, and the delays are time-varying. A new method for achieving robust stabilization is presented for a class of uncertain time-delay systems via linear memoryless state feedback control. The results depend on the size of the delays and are given in terms of several linear matrix inequalities 相似文献
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不确定多状态滞后系统时滞相关鲁棒稳定与镇定 总被引:4,自引:0,他引:4
针对具有范数有界参数不稳定性的多态性滞后系统,本文提出了与系统时滞相关的鲁棒稳定性判据,并给出了一种无记忆的时滞相关的鲁棒稳定控制率的设计方法,本文的结果与系统的时滞大小有关,并采用LMI描述。 相似文献
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基于观测器的时滞系统鲁棒控制器的设计 总被引:1,自引:0,他引:1
研究了一类不确定时滞系统基于观测器的鲁棒镇定问题,系统的不确定性时变未知且范数有界,目的是设计状态观测器和线性无记忆观测状态反馈控制器,使其能够镇定一类状态和控制输入不确定性时滞系统。基于Lyapunov稳定性理论,采用线形矩阵不等式这一有效工具,给出了系统基于观测状态反馈鲁棒镇定的充分条件,并且利用线形矩阵不等式的解构造了使得系统鲁棒稳定的基于观测状态反馈控制器,所得结果与时滞相关,从而相对减弱了控制器设计的保守性。数值算例表明了所提出的设计方法的有效性。 相似文献
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This note is concerned with the problem of stabilizing an uncertain linear system via state feedback control. An uncertain system which admits a stabilizing state feedback control and some associated quadratic Lyapunov function is said to be quadratically stabilizable. In a number of recent papers, conditions are given under which quadratic stabilizability via nonlinear control implies quadratic stabilizability via linear control. These papers restrict the manner in which the uncertain parameters are permitted to enter structurally into the state equation in order to establish this result. This note presents an example which shows that this implication is not true for more general uncertain linear systems. To this end, we describe an uncertain linear system which is quadratically stabilizable via nonlinear control but not quadratically stabilizable via linear control. 相似文献
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A stabilization algorithm for a class of uncertain linear systems 总被引:16,自引:0,他引:16
This paper presents an algorithm for the stabilization of a class of uncertain linear systems. The uncertain systems under consideration are described by state equations which depend on time-varying unknown-but-bounded uncertain parameters. The construction of the stabilizing controller involves solving a certain algebraic Riccati equation. Furthermore, the solution to this Riccati equation defines a quadratic Lyapunov function which is used to establish the stability of the closed-loop system. This leads to a notion of ‘quadratic stabilizability’. It is shown that the stabilization procedure will succeed if and only if the given uncertain linear system is quadratically stabilizable.The paper also deals with a notion of ‘overbounding’ for uncertain linear systems. This procedure enables the stabilization algorithm to be applied to a larger class of uncertain linear systems. Also included in the paper are results which indicate the degree of conservativeness introduced by this overbounding process. 相似文献
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基于观测器的动态时滞系统鲁棒控制器的设计 总被引:2,自引:0,他引:2
在状态不能由输出直接得到的情况下,通过解两个Riccati方程,对不满足匹配条件的不确定线性时滞系统进行镇定。设计了一个“有记忆型”控制器。结果表明,如果状态方程的不确定参数值限定在已知有界紧集内,则可用得到的观测器与反馈控制律对系统进行镇定。 相似文献
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This paper addresses the state derivative feedback control problem for uncertain polytopic systems subject to an uncertain sampling period and network-induced delay. The distinctive contribution relies on the direct design of a robust state derivative feedback controller employing an augmented discretized model derived in terms of the state derivative feedback such that network-induced delay and uncertain sampling periods can be incorporated from the original continuous-time state-space representation into the discretized model. Two augmented models are provided to handle longer input time delays, as well as delays less or equal to the sampling period. In this work, all the uncertain parameters are modeled as a polytopic form whose resulting discrete-time model has matrices with polynomial dependence on the uncertain parameters and an additive norm-bounded term featuring the discretization residual error. Moreover, synthesis conditions are derived using a set of linear matrix inequalities (LMI) to solve the stabilization problem for this class of systems under different input time delays. Finally, numerical simulations are carried out to evaluate the effectiveness of the proposed method. 相似文献
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Eiichi Muramatsu Masao Ikeda 《International Journal of Control, Automation and Systems》2011,9(4):617-626
A parameter and state estimation problem is considered for uncertain linear time-invariant systems. Under a certain condition,
it is shown that the state of the system can be asymptotically described by a linear combination of state estimates generated
by suitable multiple observers, where the weights of the linear combination are the parameters to be estimated. Using this
property, a computation method is proposed for simultaneous estimation of the parameters and the state from the output data
of the plant and multiple observers. 相似文献
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Guaranteed cost control of uncertain nonlinear systems via polynomial lyapunov functions 总被引:1,自引:0,他引:1
In this paper, we consider the problem of guaranteed cost control for a class of uncertain nonlinear systems. We derive linear matrix inequality conditions for the regional robust stability and performance problems based on Lyapunov functions which are polynomial functions of the state and uncertain parameters. The performance index is calculated over a set of initial conditions. Also, we discuss the synthesis problem for a class of affine control systems. Numerical examples illustrate our method. 相似文献
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针对一类连续搅拌反应釜(CSTR),提出了基于扩张状态观测器和反步法的自适应控制方法,并结合连续动作强化学习器(CARLA)进行控制器参数整定.将CSTR视为包含不确定函数的非严格反馈非线性系统,利用扩张状态观测器对系统中的状态变量实时估计,并对不确定函数在线逼近,将系统补偿为线性二阶积分串联系统,为其设计反步法控制器.通过李雅普诺夫稳定性定理对系统稳定性进行分析,证明了闭环系统中所有信号均有界.最后,针对大量控制器参数难以人工整定的问题,设计CARLA算法快速搜索控制器参数最优值,提升了控制品质.仿真实验进一步验证了该方法的有效性. 相似文献
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Peyman Azodi Peyman Setoodeh Alireza Khayatian Mohammad Hassan Asemani 《国际强度与非线性控制杂志
》2019,29(18):6542-6554
》2019,29(18):6542-6554
This paper presents a systematic method to decompose uncertain linear quantum input‐output networks into uncertain and nominal subnetworks, when uncertainties are defined in SLH representation. To this aim, two decomposition theorems are stated, which show how an uncertain quantum network can be decomposed into nominal and uncertain subnetworks in cascaded connection and how uncertainties can be translated from SLH parameters into state‐space parameters. As a potential application of the proposed decomposition scheme, robust stability analysis of uncertain quantum networks is briefly introduced. The proposed uncertainty decomposition theorems take account of uncertainties in all three parameters of a quantum network and bridge the gap between SLH modeling and state‐space robust analysis theory for linear quantum networks. 相似文献