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不确定时变线性系统的鲁棒一致渐近稳定的扰动界 总被引:1,自引:0,他引:1
不确定时变线性系统的鲁棒一致渐近稳定的扰动界奚宏生(中国科学技术大学自动化系合肥230026)关键词不确定时变线性系统,鲁棒一致渐近稳定,奇异值.l引言在文献[1—3]中利用状态空间方法研究了结构不确定定常线性系统参数扰动的稳定区域.本文利用时变矩阵... 相似文献
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本文讨论了含有时变参量或扰动的机器人系统的鲁棒稳定问题,给出了该类不确定的机器人系统可鲁棒稳定化的充分条件,并且构造了一个静态可稳化鲁棒控制器。 相似文献
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具有最小相位的非线性时变不确定系统的带有观测器的鲁棒稳定化 总被引:1,自引:0,他引:1
考虑非线性时变不确定系统的鲁棒稳定问题。假设该系统的标称系统具有最小相位,参变量或扰动θ(t)定义在一紧集上,广义三角条件成立时,给出使该类不确定非线性系统鲁棒稳定的充分条件。 相似文献
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广义不确定周期时变系统的鲁棒稳定性分析 总被引:4,自引:0,他引:4
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. 相似文献
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本文讨论了多时滞多扰动线性系统的鲁棒控制器设计问题,证明了在一定条件下时滞扰动系统能稳的充分条件为其标称系统二次型能稳,给出了按标称系统的给定稳定裕度设计系统鲁棒控制器的方法。 相似文献
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This paper addresses stability analysis and design issues in load-frequency control (LFC) for interconnected power systems with a structure uncertainty satisfying the matching conditions. A simple robust decentralized control law for each subsystem has been developed on the basis of the Hessenberg model and utilizing the basic concepts of both linear-quadratic regulator theory and Lyapunov stability theory. A detailed design procedure together with simulation results have been presented for the case of the LFC problem of interconnected power systems. The performance robustness and stability bounds are studied and subsequently condition numbers corresponding to the stabilizing solution of the algebraic Riccati equation are also presented. 相似文献
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A decentralized robust control scheme is presented for the load-frequency control of interconnected power systems with uncertain parameters. A singular value decomposition (SVD) technique and Lyapunov stability theory are adopted to implement a decentralized robust controller. The stability analysis of the closed-loop interconnected systems for all admissible uncertainties is discussed. The performance robustness of the proposed decentralized robust control scheme has been verified through simulation studies on a two-area power system model. The effectiveness of the decentralized control algorithm is compared to that of a centralized robust one. It has been found that both control schemes have almost the same performance with integral control action in the presence of parametric uncertainty in the plant. 相似文献
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Decentralized robust controller design for uncertain large-scale systems with control delays 总被引:1,自引:0,他引:1
Chuwang Cheng Qiong Wu Alexander Thornton-Trump 《International journal of systems science》2013,44(1):33-41
This paper presents a decentralized robust controller design for a class of interconnected dynamic systems with control delays and parametric uncertainty. The parameter uncertainties are considered unknown but norm bounded. By applying the Lyapunov stability theorem, two new delay-dependent sufficient conditions are established in terms of linear matrix inequalities, and linear memoryless state feedback controllers are designed to maintain the robust stability for the class of systems under study. It is shown that either no tuning procedure is required or only one parameter from each inequality needs to be tuned. An example is presented to demonstrate the application of the results presented here. 相似文献
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Ĺubomír Grman Danica RosinovÁ Vojtech Veselý Alena KozÁ KovÁ 《International journal of systems science》2013,44(15):961-973
The paper provides a survey of some recent robust stability conditions, their mutual comparisons, and presents new robust stability conditions for continuous- and discrete-time systems with convex polytopic uncertainty. Robust stability analysis is based on LMI conditions and parameter-dependent Lyapunov functions. The developed stability conditions are appropriate for output feedback design. Numerical examples thoroughly illustrate the power of the considered robust stability analysis methods and show which of them provides the less conservative results. 相似文献
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针对一类具有网型拓扑结构的互联大系统,提出一种动态输出反馈多重叠鲁棒分散关联镇定方法.该方法将系统状态空间加以扩展,在扩展空间中将其分解为按循环逆序排列的一系列两两子系统对,并为每个子系统对分别设计使其关联稳定的鲁棒分散动态输出反馈控制器,将这些多重叠设计的控制器再收缩回原空间,实现控制律的协调.将该方法应用到一个四区域网型电力系统控制设计中,仿真结果验证了所提出方法的可行性和优越性. 相似文献
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Andrzej Banaszuk Vladimir A. Fonoberov Thomas A. Frewen Marin Kobilarov George Mathew Igor Mezic Alessandro Pinto Tuhin Sahai Harshad Sane Alberto Speranzon Amit SuranaAuthor vitae 《Annual Reviews in Control》2011,35(1):77-98
Development of robust dynamical systems and networks such as autonomous aircraft systems capable of accomplishing complex missions faces challenges due to the dynamically evolving uncertainties coming from model uncertainties, necessity to operate in a hostile cluttered urban environment, and the distributed and dynamic nature of the communication and computation resources. Model-based robust design is difficult because of the complexity of the hybrid dynamic models including continuous vehicle dynamics, the discrete models of computations and communications, and the size of the problem. We will overview recent advances in methodology and tools to model, analyze, and design robust autonomous aerospace systems operating in uncertain environment, with stress on efficient uncertainty quantification and robust design using the case studies of the mission including model-based target tracking and search, and trajectory planning in uncertain urban environment. To show that the methodology is generally applicable to uncertain dynamical systems, we will also show examples of application of the new methods to efficient uncertainty quantification of energy usage in buildings, and stability assessment of interconnected power networks. 相似文献
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基于向量的幂变换方法,对具有结构不确定性的输出反馈线性系统的鲁棒稳定性问题作了分析。单参数摄动时给出了闭环系统鲁棒稳定的充要条件,多参数摄动时得到了保证系统鲁棒稳定的充分条件,导出了闭环系统鲁棒稳定区域的一种代数表达形式。最后给出了实例。 相似文献
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This paper focuses on the problem of robust decentralized Hinfinity control design for nonlinear interconnected systems with uncertainty. It presents, respectively, a state feedback control design and an output feedback control design, which will stabilize the plant and guarantee an Hinfinity-norm bound constraint on disturbance attenuation for all admissible uncertainties. The interconnection between the robust decentralized Hinfinity control problem and the nonlinear decentralized Hinfinity control for systems without uncertainty is established. Based on this interconnection, the solvable conditions of robust decentralized Hinfinity control is proposed in terms of Hamilton-Jacobi inequality. 相似文献
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A robust stabilization problem for fuzzy systems is discussed in accordance with the definition of stability in the sense of Lyapunov. We consider two design problems: nonrobust controller design and robust controller design. The former is a design problem for fuzzy systems with no premise parameter uncertainty. The latter is a design problem for fuzzy systems with premise parameter uncertainty. To realize two design problems, we derive four stability conditions from a basic stability condition proposed by Tanaka and Sugeno: nonrobust condition, weak nonrobust condition, robust condition, and weak robust condition. We introduce concept of robust stability for fuzzy control systems with premise parameter uncertainty from the weak robust condition. To introduce robust stability, admissible region and variation region, which correspond to stability margin in the ordinary control theory, are defined. Furthermore, we develop a control system for backing up a computer simulated truck-trailer which is nonlinear and unstable. By approximating the truck-trailer by a fuzzy system with premise parameter uncertainty and by using concept of robust stability, we design a fuzzy controller which guarantees stability of the control system under a condition. The simulation results show that the designed fuzzy controller smoothly achieves backing up control of the truck-trailer from all initial positions 相似文献