共查询到20条相似文献,搜索用时 15 毫秒
1.
M. S. Mahmoud 《Journal of Optimization Theory and Applications》2009,143(3):497-518
In this paper, we study the problem of designing decentralized reliable feedback control methods under a class of control
failures for a class of linear interconnected continuous-time systems having internal subsystem time-delays and additional
time-delay couplings. These failures are described by a model that takes into consideration possible outages or partial failures
in every single actuator of each decentralized controller. The decentralized control design is performed through two steps.
First, a decentralized stabilizing reliable feedback control set is derived at the subsystem level through the construction
of appropriate Lyapunov-Krasovskii functional and, second, a feasible linear matrix inequalities procedure is then established
for the effective construction of the control set under different feedback schemes. Two schemes are considered: the first
is based on state measurement and the second utilizes static output feedback. The decentralized feedback gains in both schemes
are determined by convex optimization over LMIs. We characterize decentralized linear matrix inequalities (LMIs)-based feasibility
conditions such that every local closed-loop subsystem of the linear interconnected delay system is delay-dependent robustly
asymptotically stable with a γ-level ℒ2-gain. The developed results are tested on a representative example. 相似文献
2.
Magdi S. Mahmoud 《Journal of Optimization Theory and Applications》2010,145(3):507-525
The robust decentralized feedback stabilization problem of a class of nonlinear interconnected discrete-time systems is considered.
This class of systems has uncertain nonlinear perturbations satisfying quadratic constraints that are functions of the overall
state vector. Decentralized state and output feedback schemes are proposed and analyzed such that the overall closed-loop
system guarantees global stability condition, derived in terms of local subsystem variables. Incorporating feedback gain perturbations,
new resilient decentralized feedback schemes are subsequently developed. The proposed approach is formulated within the framework
of convex optimization over LMIs. Simulation results illustrate the effectiveness of the proposed decentralized output-feedback
controllers. 相似文献
3.
基于Liapunov理论,针对关联矩阵的不同分解,建立了变时滞线性关联大系统分散镇定的充分条件。同时,还给出了一种局部无记忆状态反馈控制律的设计方法,所考虑的时滞皆为变时滞。 相似文献
4.
具有输入时滞的时滞关联不确定系统的鲁棒分散控制 总被引:2,自引:0,他引:2
研究了一类同时具有输入时滞以及不确定参数的时滞关联大系统的稳定性问题.基于所谓的还原法,给出一种新的状态反馈控制器的设计方法,这种方法的不同之处在于利用了时延的大小以及反馈控制的历史信息.根据Lyapunov稳定性理论得到了系统在控制器作用下稳定的充分条件,所有条件都化成可解的标准LMIs(Linear matrix inequalities)形式.文章最后给出了一个数值例子说明本文结果的可行性. 相似文献
5.
研究了一类具有饱和因子的滞后关联大系统的分散控制问题.首先对饱和因子进行了巧妙地处理,再通过构造Lyapunov泛函,利用(LMI)方法给出了分散控制状态反馈控制器的设计方法.控制器通过解线性矩阵不等式即可得到,计算简便.最后,数值例子和仿真说明了该设计方法的有效性. 相似文献
6.
Ali Y. Al-Rayyah Magdi S. Mahmoud 《Journal of Optimization Theory and Applications》2010,147(2):318-336
In this paper, we study the problem of designing decentralized reliable feedback control methods under a class of control
failures for a class of linear interconnected continuous-time systems having internal subsystem time-delays and additional
time-delay couplings. These failures are described by a model that takes into consideration possible outages or partial failures
in every single actuator of each decentralized controller. The decentralized control design is performed through two steps.
First, a decentralized stabilizing reliable feedback control set is derived at the subsystem level through the construction
of appropriate Lyapunov-Krasovskii functional and, second, a feasible linear matrix inequalities procedure is then established
for the effective construction of the control set under different feedback schemes. Two schemes are considered: the first
is based on state-measurement and the second utilizes static output-feedback. The decentralized feedback gains in both schemes
are determined by convex optimization over linear matrix inequalities. We characterize decentralized linear matrix inequality-based
feasibility conditions such that every local closed-loop subsystem of the linear interconnected delay system is delay-dependent
robustly asymptotically stable with an γ-level ℒ2-gain. The developed results are tested on a representative example. 相似文献
7.
Decentralized Adaptive Robust State Feedback for Uncertain Large-Scale Interconnected Systems with Time Delays 总被引:3,自引:0,他引:3
H. S. Wu 《Journal of Optimization Theory and Applications》2005,126(2):439-462
The problem of the decentralized robust control is considered for a class of large-scale time-varying systems withdelayed state perturbations and external disturbances in the interconnections. Here, the upper bounds of the delayed stateperturbations and external disturbances in the interconnections are assumed to be unknown. Adaptation laws areproposed to estimate such unknown bounds; by making use of the updated values of the unknown bounds, decentralized linear and nonlinear memoryless robust state feedback controllers are constructed. Based on Lyapunov stability theoryand Lyapunov–Krasovskii functionals, as well as employing the proposed decentralized nonlinear robust state feedback controllers, it is shown that the solutions of the resulting adaptive closed-loop large-scale time-delay system can be guaranteed to be uniformly bounded and that the states converge uniformly and asymptotically to zero. It is also shown that the proposed decentralized linear robust state feedback controllers can guarantee the uniform ultimate boundedness of the resulting adaptive closed-loop large-scale time-delay system. Finally, a numerical example is given to demonstrate the validity of the results. 相似文献
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The problem of the decentralized robust tracking and model following is considered for a class of large-scale interconnected systems with uncertainties. A class of continuous (nonlinear) decentralized state feedback controllers is proposed. The proposed robust decentralized controllers can guarantee that the tracking errors between each subsystem and the local reference model decrease to zero asymptotically. Finally, an illustrative example is given to demonstrate the validity of the results. 相似文献
11.
本文对带有界扰动的一类大型互联非线性系统进行了分散输出反馈控制设计,通过子系统状态的线性变换,得到分散输出反馈控制律.当输出反馈控制律作用于该系统时,系统的状态能够收敛到原点的一个小邻域内. 相似文献
12.
针对时变的满足一定匹配条件的不确定关联时滞大系统,利用自适应界化技术,给出了设计分散镇定控制器的自适应的方法.其特点是在假设中系统不确定项是有界的,但界是未知的,且在关联项存在时变时滞的情况下证明了闭环自适应系统的渐近稳定性.最后举例说明了该方法的有效性. 相似文献
13.
In this paper we study the existence of nontrivial solutions for the following system of coupled semilinear Poisson equations:
where is a bounded domain in
We assume that
and the function f is superlinear and with no growth restriction (for example f(s) = s es); then the system has a nontrivial (strong) solution. 相似文献
14.
Mathematical Notes - For elliptic systems with discontinuous nonlinearities, we study the existence of strong solutions whose values are points of continuity with respect to the state variables for... 相似文献
15.
HELMKE U.; PR?TZEL-WOLTERS D.; SCHMID S. 《IMA Journal of Mathematical Control and Information》1991,8(4):397-408
In this paper we introduce the concept of an adaptive synchronizationcontroller. Synchronization is modelled as an adaptive trackingproblem for families of interconnected linear systems. Stabilizationand tracking results are obtained for minimum-phase systems. 相似文献
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研究一类Klein-Gordon-Maxwell系统解的存在性和多重性.当非线性项是凹凸非线性项时,利用变分方法获得了系统解的存在性和多重性结果,并完善了此系统解的存在性的已有结果. 相似文献
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The authors study the existence of homoclinic type solutions for the following system of diffusion equations on R × RN:{■tu-xu + b ·▽xu + au + V(t,x)v = Hv(t,x,u,v),-■tv-xv-b·▽xv + av + V(t,x)u = Hu(t,x,u,v),where z =(u,v):R × RN → Rm × Rm,a > 0,b =(b1,···,bN) is a constant vector and V ∈ C(R × RN,R),H ∈ C1(R × RN × R2m,R).Under suitable conditions on V(t,x) and the nonlinearity for H(t,x,z),at least one non-stationary homoclinic solution with least energy is obtained. 相似文献
20.
利用关于变元σ绝对稳定的概念,我们对具重叠非线性项的一般Lurie直接系统得到了绝对稳定的充要条件,并给出一个实用的充分条件.一个数值例子说明了本文结果的有效性. 相似文献