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参数摄动系统的鲁棒LQ反馈控制 总被引:3,自引:0,他引:3
本文研究了不确定系统的鲁棒LQ反馈控制器的综合问题.对于具有线性有界实参数摄动的系统,首先把不确定系统的鲁棒LQ综合问题转化成N个确定系统的联立LQ综合问题.并据此提出了相应的综合算法.理论分析和实例计算结果表明所提出的方法具有较广的应用范围和较少的保守性. 相似文献
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Lurie型控制系统的鲁棒决定稳定性 总被引:49,自引:1,他引:49
本文给出了Lurie型间接控制系统x=G[B,C]x+G[R,S]f(σ);σ=c^Tx-ρf(σ);f(σ)∈K[0,∞);和直接控制系统x=G[B,C]x+G[R,S]f(σ);σ=C^Tx,f(σ)∈K[0,∞),绝对稳定的若干充分条件。 相似文献
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量化控制系统设计通过将控制与通讯相结合来解决大量运用信息技术的现代工程系统的相关控制问题. 本文首先回顾近年来线性及非线性系统量化控制的结果. 其中, 非线性系统量化控制的发展尚处于初级阶段. 高维、量化、非线性及不确定性的共存导致量化非线性控制问题极具挑战性, 需要全新的思想和技术来解决. 本文重点回顾基于输入状态稳定性(ISS)及其回路小增益定理(Cyclic-small-gain theorem)的量化非线性控制设计方法, 同时列出该领域一些尚未解决的问题. 相似文献
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Lurie滞后反馈控制系统绝对稳定的鲁棒扰动界 总被引:7,自引:0,他引:7
本文应用Lyapunov方法讨论了具有时滞反馈的
Lurie控制系统的鲁棒绝对稳定性,给出了具有一个和多个滞后反馈的Lurie控制系统的绝对
鲁棒稳定的充分条件.用本文的结论可直接计算具有时滞反馈的Lurie控制系统绝对稳定的
鲁棒扰动上界.文末给出了应用本文结论的例子. 相似文献
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This paper considers robust absolute stability of Lurie control systems. Particular attention is given to the systems with parameters having uncertain, but bounded values. Such so‐called Lurie interval control systems have wide applications in practice. In this paper, a number of sufficient and necessary conditions are derived by using the theories of Hurwitz matrix, M matrix and partial variable absolute stability. Moreover, several algebraic sufficient and necessary conditions are provided for the robust absolute stability of Lurie interval control systems. These algebraic conditions are easy to be verified and convenient to be used in applications. Three mathematical examples and a practical engineering problem are presented to show the applicability of theoretical results. Numerical simulation results are also given to verify the analytical predictions. Copyright © 2007 John Wiley & Sons, Ltd. 相似文献
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Robust quantized output feedback control for uncertain discrete time‐delay systems with saturation nonlinearity
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This paper is concerned with robust quantized output feedback control problems for uncertain discrete‐time systems with time‐varying delay and saturation nonlinearity. It is assumed that the quantizer is of the saturating type. A new framework for the local boundedness stabilization of quantized feedback systems is developed. Attention is focused on finding a quantized static output feedback controller such that all trajectories of the resulting closed‐loop system starting from an admissible initial basin converge to a bounded region strictly within the initial basin. A quantized feedback controller is proposed, which comprises output feedback and the exogenous signal parts. Simulation examples are given to illustrate the effectiveness and advantage of the proposed methods. Copyright © 2014 John Wiley & Sons, Ltd. 相似文献
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以不确定Lurie系统作为被控对象,研究其在网络环境下的保性能控制问题.在同时考虑随机网络诱导时延和数据丢包的情况下,建立不确定Lurie网络化控制系统模型;利用Lyapunov方法分别给出了存在结构不确定性和范数有界的不确定性时,Lurie网络化控制系统保性能控制器的设计方法.所得结果是以线性矩阵不等式的形式给出的,便于数值求解.最后以数值实例说明了所提出方法的可行性和有效性. 相似文献
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In this work, we develop a robust adaptive fault‐tolerant tracking control scheme for a class of input‐quantized strict‐feedback nonlinear systems in the presence of error/state constraints and actuation faults. The problem is rather complicated yet challenging if nonparametric uncertainties and unknown quantization parameters as well as time‐varying yet completely undetectable actuation faults are involved in the considered systems. Compared with the most existing approaches in the literature, the proposed control exhibits several attractive advantages: (1) upon using a nonlinear decomposition for quantized input and employing the robust technique for actuation fault, not only the exact knowledge of quantization parameters are not required, but also the actuation fault can be easily compensated since neither fault detection and diagnosis/fault detection and identification nor controller reconfiguration is needed; (2) based on the error/state‐dependent unified nonlinear function, the constraints on tracking error and system states are directly handled and the cases with or without constraints can also be addressed in a unified manner without changing the control structure; and (3) the utilization of unified nonlinear function‐based dynamic surface control not only avoids the problem of the explosion of complexity in traditional backstepping design, but also bypasses the demanding feasibility conditions of virtual controllers. Furthermore, by using the Lyapunov analysis, it is ensured that all signals in the closed‐loop systems are uniformly ultimately bounded. The effectiveness of the developed control algorithm is confirmed by numerical simulations. 相似文献
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This poses and solves the problem of structurally variable control synthesis for time-varying Lurie systems, which has both theoretical and engineering significance. A theorem on absolute stability of a set related to Lurie systems solves the problem. The theorem is basic for proving control algorithms that ensure absolute stability of a sliding subspace or its stability with finite reachability time. Moreover, they ensure the attraction in the whole of the zero equilibrium state of the whole control system of the plant on N(L). The selection of the sliding subspace can be such that the system nonlinearity does not influence the sliding motion. 相似文献
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多时滞Lurie控制系统的时滞相关鲁棒稳定性 总被引:5,自引:1,他引:4
时滞Lurie控制系统的稳定性条件与Lyapunov函数的选取有关.本文对多时滞Lurie控制系统进行了变换,然后选择一个适当的Lyapunov函数,利用Lyapunov稳定性方法并结合Moon引理,得到了多时滞Lurie控制系统的时滞相关鲁棒稳定性判别条件,该条件是以线性矩阵不等式(LMI)给出的,可用Matlab求解.最后用一个算例验证了所得方法的有效性. 相似文献
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This paper is concerned with the absolute stability problem of networked control systems (NCSs) with the controlled plant being Lurie systems (Lurie NCSs), in which the network‐induced delays are assumed to be time‐varying and bounded. First, in consideration of both the time‐varying network‐induced delays and data packet dropouts, the Lurie NCSs can be modeled as a multiple‐delays Lurie system. Then, a delay‐dependent absolute stability condition is established by using the Lyapunov–Krasovskii method. Next, two approaches to controller design are proposed in the terms of simple algebra criteria, which are easily solved via the toolbox in Matlab. Furthermore, the main results can be extended to robust absolute stability of Lurie NCSs with the structured uncertainties, where robust absolute stability conditions and approaches to robust controller design are presented. Finally, two numerical examples are worked out to illustrate the feasibility and the effectiveness of the proposed method. Copyright © 2009 John Wiley & Sons, Ltd. 相似文献
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Robust adaptive output feedback control for uncertain nonlinear systems with quantized input
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In this paper, we study the input quantization problem for a class of uncertain nonlinear systems. The quantizer adopted belongs to a class of sector‐bounded quantizers, which basically include all the currently available static quantizers. Different from the existing results, the quantized input signal, rather than the input signal itself, is used to design the state observers, which guarantees that the state estimation errors will eventually converge to zero. Because the resulting system may be discontinuous and non‐smooth, the existence of the solution in the classical sense is not guaranteed. To cope with this problem, we utilize the non‐smooth analysis techniques and consider the Filippov solutions. A robust way based on the sector bound property of the quantizers is used to handle the quantization errors such that certain restrictive conditions in the existing results are removed and the problem of output feedback control with input signal quantized by logarithmic (or hysteresis) quantizers is solved for the first time. The designed controller guarantees that all the closed‐loop signals are globally bounded and the tracking error exponentially converges towards a small region around zero, which is adjustable. Copyright © 2016 John Wiley & Sons, Ltd. 相似文献