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Robust H_∞ Stabilization of Uncertain Linear Time-Delay System with Delayed/Undelayed State Feedback Controllers
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作者 陈万义 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2001年第4期71-76,共6页
This paper focuses on the H∞ controller design for linear systems with time-varying delays and norm-bounded parameter perturbations in the system state and control/disturbance. On the existence of delayed/undelayed f... This paper focuses on the H∞ controller design for linear systems with time-varying delays and norm-bounded parameter perturbations in the system state and control/disturbance. On the existence of delayed/undelayed full state feedback controllers, we present a sufficient condition and give a design method in the form of Riccati equation. The controller can not only stabilize the time-delay system, but also make the H∞ norm of the closed-loop system be less than a given bound. This result practically generalizes the related results in current literature. 展开更多
关键词 Closed loop control systems feedback control Linear control systems Perturbation techniques Riccati equations robustness (control systems) state feedback System stability Time varying control systems Uncertain systems
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Delay-dependent robust stabilization for a class ofneutral systems with nonlinear perturbations 被引量:1
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作者 Ming LI Guangda HU 《控制理论与应用(英文版)》 EI 2007年第4期409-414,共6页
This note deals with the problem of stabilization/stability for neutral systems with nonlinear perturbations. A new stabilization/stability scheme is presented. Using improved Lyapunov functionals, less conservative s... This note deals with the problem of stabilization/stability for neutral systems with nonlinear perturbations. A new stabilization/stability scheme is presented. Using improved Lyapunov functionals, less conservative stabilization/stability conditions are derived for such systems based on linear matrix inequalities (LMI). Numerical examples are provided to show that the proposed results significantly improve the allowed upper bounds of the delay size over some existing ones in the literature. 展开更多
关键词 Delay-dependent criterion robust stabilization/stability Linear matrix inequality (LMI) Neutral delaysystems state feedback stabilization Nonlinear perturbations
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A New Robust Stabilization Analysis Result for Uncertain Systems with Time-Varying Delay 被引量:1
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作者 王中生 王东云 廖晓昕 《Journal of Electronic Science and Technology of China》 2005年第4期354-356,共3页
The robust stabilization problem for uncertain systems with time-varying delay has been discussed. A new sufficient criterion is obtained to guarantee the closed-loop system robust stabilizable. The controller gain ma... The robust stabilization problem for uncertain systems with time-varying delay has been discussed. A new sufficient criterion is obtained to guarantee the closed-loop system robust stabilizable. The controller gain matrix is included in a Hamiltonian matrix. The Hamiltonian matrix can be constructed by the boundedness of the uncertainties. Some examples are given to illustrate the feasibility of the criterion. 展开更多
关键词 robust stabilization time-varying delay uncertain systems state feedback
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Robust Stabilization of Delayed Systems with Rank-1 Type Uncertainties
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作者 程储旺 《Journal of China Textile University(English Edition)》 EI CAS 2000年第1期22-26,共5页
This paper deals with the problem of robust stabilizationfor the systems with rank-1 type uncertainties and mul-tiple state delay.Firstly,a new delay-dependent crite-ria is presented for unforced normal delayed system... This paper deals with the problem of robust stabilizationfor the systems with rank-1 type uncertainties and mul-tiple state delay.Firstly,a new delay-dependent crite-ria is presented for unforced normal delayed system to bestable.Based on the obtained criteria,a new LMI ap-proach is developed for robust stabilization of a class ofuncertain delay systems via linear memoryless state feed-back control law.The results depend on the size of thedelays and are given in terms of linear matrix inequali-ties.And so no tuning procedure for scalars and/or ma-trices is required and the results are less conservativethan those of delay-independent.Finally,an illustra-tive example is presented. 展开更多
关键词 UNCERTAIN delay systems robust stability robust stabilization state feedback linear matrix inequalities.
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Robust Stabilization for Uncertain Control Systems Using Piecewise Quadratic Lyapunov Functions
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作者 Zhang Yinping & Sun Jitao Dept. of Appl. Math., Tongji University, Shanghai 200092, P. R. China 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2002年第4期56-60,共5页
The sufficient condition based on piecewise quadratic simultaneous Lyapunov functions for robust stabilization of uncertain control systems via a constant linear state feedback control law is obtained. The objective i... The sufficient condition based on piecewise quadratic simultaneous Lyapunov functions for robust stabilization of uncertain control systems via a constant linear state feedback control law is obtained. The objective is to use a robust stability criterion that is less conservative than the usual quadratic stability criterion. Numerical example is given, showing the advanteges of the proposed method. 展开更多
关键词 robust state feedback control stabilizing uncertain system.
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Robust Stabilization Analysis for Uncertain Systems with Time-Varying Delays
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作者 王中生 王东云 沈轶 《Journal of Electronic Science and Technology of China》 2004年第4期37-40,共4页
In this paper, the stabilization problem for uncertain systems with time-varying delays both in state and control are discussed. A stabilization criterion is obtained to guarantee the quadratic stability of the closed... In this paper, the stabilization problem for uncertain systems with time-varying delays both in state and control are discussed. A stabilization criterion is obtained to guarantee the quadratic stability of the closed-loop system. The controller gain matrix is included in an Hamiltonian matrix, which is easily constructed by the boundedness of the uncertainties. 展开更多
关键词 UNCERTAINTY robust stabilization state feedback quadratic stabilization
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ROBUST GLOBAL EXPONENTIAL STABILITY OF UNCERTAIN IMPULSIVE SYSTEMS 被引量:3
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作者 刘斌 刘新芝 廖晓昕 《Acta Mathematica Scientia》 SCIE CSCD 2005年第1期161-169,共9页
By using the quasi-Lyapunov function, some sufficient conditions of global exponential stability for impulsive systems are established, which is the basis for the following discussion. Then, by employing Riccati inequ... By using the quasi-Lyapunov function, some sufficient conditions of global exponential stability for impulsive systems are established, which is the basis for the following discussion. Then, by employing Riccati inequality and Hamilton-Jacobi inequality approach, some sufficient conditions of robust exponential stability for uncertain linear/nonlinear impulsive systems are derived, respectively. Finally, some examples are given to illustrate the applications of the theory. 展开更多
关键词 Uncertain impulsive system interval matrix Riccati/hamilton-jacobi inequality global exponential stability robust global exponential stability
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Adaptive stabilization for cascade nonlinear systems 被引量:1
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作者 ChenLanping WangHongyuan WuBo 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2004年第2期179-183,共5页
An adaptive controller of full state feedback for certain cascade nonlinear systems achieving input-to-state stability with respect to unknown bounded disturbance is designed using backstepping and control Lyapunov fu... An adaptive controller of full state feedback for certain cascade nonlinear systems achieving input-to-state stability with respect to unknown bounded disturbance is designed using backstepping and control Lyapunov function (CLF) techniques. We show that unknown bounded disturbance can be estimated by update laws, which requires less information on unknown disturbance, as a part of stabilizing control. The design method achieves the desired property: global robust stability. Our contribution is illustrated with the example of a disturbed pendulum. 展开更多
关键词 input-to-state stability control Lyapunov function CASCADE BACKSTEPPING state feedback control update law robust stability.
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Memory State Feedback Control for Singular Systems with Multiple Internal Incommensurate Constant Point Delays 被引量:2
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作者 JIANG Zhao-Hui GUI Wei-Hua XIE Yong-Fang YANG Chun-Hua 《自动化学报》 EI CSCD 北大核心 2009年第2期174-179,共6页
关键词 时滞依赖 自动化系统 线性连续时间系统 泛函方法
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Quadratic stabilization for uncertain stochastic systems
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作者 Jun'e FENG Weihai ZHANG 《控制理论与应用(英文版)》 EI 2005年第3期252-258,共7页
This paper discusses the robust quadratic stabilization control problem for stochastic uncertain systems, where the uncertain matrix is norm bounded, and the external disturbance is a stocbastic process, Two kinds of ... This paper discusses the robust quadratic stabilization control problem for stochastic uncertain systems, where the uncertain matrix is norm bounded, and the external disturbance is a stocbastic process, Two kinds of controllers are designed, which include state feedback case and output feedback case. The conditions for the robust quadratic stabilization of stochastic uncertain systems are given via linear matrix inequalities. The detailed design methods are presented. Numerical examples show the effectiveness of our results. 展开更多
关键词 robust quadratic stabilization output dynamic feedback state feedback Wiener process Linear matrix inequality
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New Approach to Stability Analysis and Stabilization of Discrete-Time T-S Fuzzy Descriptor Systems
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作者 Mao Wang Jia Shi Kan Liu 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2015年第5期55-60,共6页
The problems of stability and state feedback control for a class of discrete-time T-S fuzzy descriptor systems are investigated in this paper. Based on fuzzy Lyapunov function,a set of slack variables is introduced to... The problems of stability and state feedback control for a class of discrete-time T-S fuzzy descriptor systems are investigated in this paper. Based on fuzzy Lyapunov function,a set of slack variables is introduced to remove the basic semi-definite matrix inequality condition to check the regularity,causality and stability of discrete-time T-S fuzzy descriptor systems; a new sufficient condition for the discrete-time T-S fuzzy descriptor systems to be admissible is proposed in terms of strict linear matrix inequalities( LMIs). And a sufficient condition is proposed for the existence of state feedback controller in terms of a set of coupled strict LMIs.Finally,an illustrative example is presented to demonstrate the effectiveness of the proposed approach. 展开更多
关键词 T-S fuzzy descriptor systems parameter uncertainties stabilITY state feedback control linear matrix inequality(LMI)
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Research on robust control strategy of single DOF supporting system of MLDSB based on H∞ mixed-sensitivity Method 被引量:1
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作者 Zhao Jianhua Chen Tao +2 位作者 Han Fang Gao Dianrong Du Guojun 《High Technology Letters》 EI CAS 2020年第3期299-305,共7页
Because of hydraulic-electromagnetic double supporting forms,the supporting capacity and stiffness of magnetic-liquid double suspension bearing(MLDSB)can be improved sharply and then it is more suitable for medium spe... Because of hydraulic-electromagnetic double supporting forms,the supporting capacity and stiffness of magnetic-liquid double suspension bearing(MLDSB)can be improved sharply and then it is more suitable for medium speed,heavy load and frequent-starting occasions.Due to the multiple uncertainty,such as the coupling,the unmodeled dynamics,the parameter perturbation and the external disturbance perturbation,the robust stability and stiffness of control system of MLDSB are hard to meet the design requirements.Firstly,the structural features and the regulation mechanisms of MLDSB are presented and the radial 4-DOF kinetic equations are established.Secondly,the influence factors of the control system's coupling on unbalanced vibration caused by the deviation of the rotor center of mass are revealed,and then the weighting function of suppressing the unbalanced vibration can be obtained.Finally,H∞ controller of MLDSB is designed with H∞ mixed-sensitivity method,and the control performances of H∞ controller is compared with the state feedback controller.The simulation results show that single degree of freedom(DOF)supporting system of MLDSB with H∞ controller has good robust stability,stiffness and the ability to suppress unbalanced external disturbances.This study can provide the theoretical reference for stabilized suspension and control of MLDSB. 展开更多
关键词 magnetic-liquid double suspension bearing(MLDSB) single degree of freedom(DOF)supporting system H∞mixed-sensitivity method state feedback controller robust stability
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Stabilizing controller design for nonlinear fractional order systems with time varying delays
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作者 AZIZI Abdollah FOROUZANFAR Mehdi 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2021年第3期681-689,共9页
To deal with stabilizing of nonlinear affine fractional order systems subject to time varying delays,two methods for finding an appropriate pseudo state feedback controller are discussed.In the first method,using the ... To deal with stabilizing of nonlinear affine fractional order systems subject to time varying delays,two methods for finding an appropriate pseudo state feedback controller are discussed.In the first method,using the Mittag-Lefler function,Laplace transform and Gronwall inequality,a linear stabilizing controller is derived,which uses the fractional order of the delayed system and the upper bound of system nonlinear functions.In the second method,at first a sufficient stability condition for the delayed system is given in the form of a simple linear matrix inequality(LMI)which can easily be solved.Then,on the basis of this result,a stabilizing pseudo-state feedback controller is designed in which the controller gain matrix is easily computed by solving an LMI in terms of delay bounds.Simulation results show the effectiveness of the proposed methods. 展开更多
关键词 fractional order nonlinear system time varying delay state feedback control linear matrix inequality(LMI) stabilizing
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基于啤酒发酵过程的时变轨迹输出反馈鲁棒模糊预测控制 被引量:1
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作者 俞宏磊 姜冠杰 王守亚 《计算机测量与控制》 2023年第3期171-179,214,共10页
考虑到实际生产中状态不易测量和设定值变化的情况以及系统本身的非线性特性,针对啤酒发酵过程温度控制系统提出了一种时变轨迹下输出反馈鲁棒模糊预测控制方法;在啤酒发酵罐温度系统的机理模型的基础上,建立包括不确定性和未知干扰的... 考虑到实际生产中状态不易测量和设定值变化的情况以及系统本身的非线性特性,针对啤酒发酵过程温度控制系统提出了一种时变轨迹下输出反馈鲁棒模糊预测控制方法;在啤酒发酵罐温度系统的机理模型的基础上,建立包括不确定性和未知干扰的状态空间模型;通过设计模糊集,建立为具有加权系数的T-S模糊状态空间模型;并在状态变量的中引入输出跟踪误差,建立新型多自由度状态空间模型;并运用鲁棒模型预测控制方法优化参数不确定性问题,结合李雅普诺夫稳定性理论推导出线性矩阵不等式形式的稳定性条件,通过求解线性矩阵不等式中参数来计算对应子模型控制律,并对所设计的输出反馈控制器给定权值;通过仿真结果验证了提出方法的有效性和可行性。 展开更多
关键词 非线性 时变轨迹 鲁棒模糊预测控制 输出反馈 李雅普诺夫稳定 线性矩阵不等式
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一类新型非线性随机系统微分状态估计器和控制器 被引量:8
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作者 齐国元 陈增强 +1 位作者 薛薇 袁著祉 《电子学报》 EI CAS CSCD 北大核心 2004年第4期693-696,共4页
本文提出一类不依赖被估计系统模型微分状态估计器,参数少、精度高,通过分析其根轨迹和极点要求配置合适的参数;给出了完整的稳定性和收敛性证明;频率特性分析表明,该估计器具有较好的滤波特性.另外,基于所提出的估计器,本文设计了不依... 本文提出一类不依赖被估计系统模型微分状态估计器,参数少、精度高,通过分析其根轨迹和极点要求配置合适的参数;给出了完整的稳定性和收敛性证明;频率特性分析表明,该估计器具有较好的滤波特性.另外,基于所提出的估计器,本文设计了不依赖非线性系统模型的高阶微分反馈控制器.该控制器稳定性好,鲁棒性强.最后,通过几个仿真例子验证了所提出理论的正确性. 展开更多
关键词 稳定性 收敛性 微分状态估计器 高阶微分反馈控制器 鲁棒性
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时变不确定系统的变时域离线鲁棒预测控制 被引量:11
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作者 丁宝苍 邹涛 李少远 《控制理论与应用》 EI CAS CSCD 北大核心 2006年第2期240-244,共5页
给出多包描述约束系统的鲁棒调节器的一种新方法.现有的离线方案离线构造一系列的状态反馈控制律,其中每一个控制律是通过将无穷时域的控制输入固定为唯一的状态反馈控制律而得到的.而本文在优化较大椭圆内的控制律时,使下个时刻的状态... 给出多包描述约束系统的鲁棒调节器的一种新方法.现有的离线方案离线构造一系列的状态反馈控制律,其中每一个控制律是通过将无穷时域的控制输入固定为唯一的状态反馈控制律而得到的.而本文在优化较大椭圆内的控制律时,使下个时刻的状态进入临近的更小的椭圆———在较小的椭圆内部,相应的控制律序列作为局部控制器.因此,本文新方法相当于给出了变时域的预测控制器,可给出更优的控制作用.仿真例子说明了新方法的有效性. 展开更多
关键词 鲁棒调节 多包描述 离线状态反馈律 线性矩阵不等式
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广义不确定周期时变系统的鲁棒稳定性分析 被引量:16
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作者 苏晓明 吕明珠 《自动化学报》 EI CSCD 北大核心 2006年第4期481-488,共8页
研究广义不确定周期时变系统的鲁棒稳定性问题.基于广义周期时变系统Lyapunov不等式,提出了广义不确定周期时变系统鲁棒稳定的概念,采用矩阵不等式(LMI)方法,得到了该类系统鲁棒稳定的充分必要条件;然后,进一步研究了在状态反馈控制... 研究广义不确定周期时变系统的鲁棒稳定性问题.基于广义周期时变系统Lyapunov不等式,提出了广义不确定周期时变系统鲁棒稳定的概念,采用矩阵不等式(LMI)方法,得到了该类系统鲁棒稳定的充分必要条件;然后,进一步研究了在状态反馈控制下保证闭环系统鲁棒稳定的条件,给出了一族状态反馈鲁棒稳定器的设计方法;最后,引入了广义周期时变系统二次稳定的概念,并讨论了二次稳定性与鲁棒稳定性之间的关系. 展开更多
关键词 广义不确定周期时变系统 鲁棒稳定性 矩阵不等式 状态反馈鲁棒控制器 二次稳定性
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一类不确定切换奇异系统的鲁棒H∞控制 被引量:7
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作者 付主木 费树岷 +1 位作者 薄煜明 李涛 《南京理工大学学报》 CAS CSCD 北大核心 2008年第3期269-273,共5页
研究一类由任意有限多个不确定子系统组成的切换奇异系统的状态反馈鲁棒H∞控制问题。利用共同Lyapunov函数方法和凸组合技术,给出由矩阵不等式表示的控制器存在的充分条件,并设计了相应的子控制器和切换规则。采用消元法,将该矩阵不等... 研究一类由任意有限多个不确定子系统组成的切换奇异系统的状态反馈鲁棒H∞控制问题。利用共同Lyapunov函数方法和凸组合技术,给出由矩阵不等式表示的控制器存在的充分条件,并设计了相应的子控制器和切换规则。采用消元法,将该矩阵不等式转化为一组线性矩阵不等式。最后给出一个数值算例证明结论的有效性。研究结果表明:通过切换,闭环系统在整个状态空间上的每个点都满足鲁棒H∞性能,而并不要求每个子系统在整个状态空间上都满足鲁棒H∞性能,甚至也不要求其渐进稳定。 展开更多
关键词 不确定切换系统 奇异系统 鲁棒H∞控制 状态反馈 线性矩阵不等式
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约束时变不确定离散系统的输出反馈预测控制综合 被引量:16
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作者 丁宝苍 邹涛 《自动化学报》 EI CSCD 北大核心 2007年第1期78-83,共6页
研究多包描述系统的离线型输出反馈预测控制.已有一方法首先综合状态反馈预测控制,满足输入/状态约束;而在设计观测器时,不再考虑输入/状态约束.本文则首先给出观测器,并给出一组不等式条件使得真实状态、观测状态和观测误差都保持在同... 研究多包描述系统的离线型输出反馈预测控制.已有一方法首先综合状态反馈预测控制,满足输入/状态约束;而在设计观测器时,不再考虑输入/状态约束.本文则首先给出观测器,并给出一组不等式条件使得真实状态、观测状态和观测误差都保持在同一个椭圆内部,以便采用线性矩阵不等式处理输入/状态约束.基此,本文离线计算一椭圆序列,每个椭圆对应一控制律和一观测器,而在线的实时控制律和观测器则从该序列中选择,使得闭环系统具有稳定性保证.仿真例子说明了本文方法的有效性. 展开更多
关键词 输出反馈 鲁棒预测控制 矩阵不等式 稳定性
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广义系统具有完整性的鲁棒二次稳定 被引量:18
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作者 陈跃鹏 张庆灵 姚波 《自动化学报》 EI CSCD 北大核心 2002年第4期615-619,共5页
考虑带有 Frobenius范数界的不确定广义系统 ,具有完整性的鲁棒二次稳定问题 .用Riccati不等式给出不确定广义系统在状态反馈和输出反馈作用下所构成的闭环系统二次稳定 ,并且当执行器出现故障时 ,不确定广义系统仍能保持二次稳定的充... 考虑带有 Frobenius范数界的不确定广义系统 ,具有完整性的鲁棒二次稳定问题 .用Riccati不等式给出不确定广义系统在状态反馈和输出反馈作用下所构成的闭环系统二次稳定 ,并且当执行器出现故障时 ,不确定广义系统仍能保持二次稳定的充分条件 ,即不确定广义系统具有完整性的鲁棒二次稳定的充分条件 . 展开更多
关键词 广义系统 完整性 鲁棒二次稳定 鲁棒控制器
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