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Decentralized design of interconnected H ∞ feedback control systems with quantized signals

Guisheng Zhai, Ning Chen, Weihua Gui (2013)

International Journal of Applied Mathematics and Computer Science

In this paper, we consider the design of interconnected H ∞ feedback control systems with quantized signals. We assume that a decentralized dynamic output feedback has been designed for an interconnected continuous-time LTI system so that the closed-loop system is stable and a desired H ∞ disturbance attenuation level is achieved, and that the subsystem measurement outputs are quantized before they are passed to the local controllers. We propose a local-output-dependent strategy for updating the parameters...

Decentralized output regulation of large scale nonlinear systems with delay

Zhengtao Ding (2009)

Kybernetika

This paper deals with output regulation of a class of large-scale nonlinear systems with delays. Each of the subsystems is in the output feedback form, with nonlinear functions of the subsystem output and the outputs of other subsystems. The system outputs are subject to unknown constant delays. Both the system dynamics and the measurements are subject to unknown disturbances generated from unknown linear exosystems. Decentralized control design approach is adopted to design local controllers using...

Decentralized robust tracking control of uncertain large scale systems with multiple delays in the interconnections

Hansheng Wu (2009)

Kybernetika

The problem of the decentralized robust tracking and model following is considered for a class of uncertain large scale systems including time-varying delays in the interconnections. On the basis of the Razumikhin-type theorem and the Lyapunov stability theory, a class of decentralized memoryless local state feedback controllers is proposed for robust tracking of dynamical signals. It is shown that by employing the proposed decentralized robust tracking controllers, one can guarantee that the tracking...

Decentralized stabilization and strong stabilization of a bicoprime factorized plant

Dibyendu Baksi, V. V. Patel, Kanti B. Datta, Ray, G. D. (1999)

Kybernetika

In this paper, a necessary and sufficient condition for decentralized stabilizability for expanding construction of large scale systems is established which involves the computation of blocking zeros and testing a rational function for sign changes at these blocking zeros. Results for the scalar as also multivariable cases are presented and a systematic procedure for designing the stabilizing controller is also outlined. The proposed theory is applicable to a wider class of systems than those for...

Decentralized structural controller design for large-scale discrete-event systems modelled by Petri nets

Aydın Aybar, Altuğ İftar (2009)

Kybernetika

A decentralized structural controller design approach for discrete-event systems modelled by Petri nets is presented. The approach makes use of overlapping decompositions. The given Petri net model is first overlappingly decomposed into a number of Petri subnets and is expanded to obtain disjoint Petri subnets. A structural controller is then designed for each Petri subnet to avoid deadlock. The obtained controllers are finally applied to the original Petri net. The proposed approach significantly...

Decomposition of a second-order linear time-varying differential system as the series connection of two first order commutative pairs

Mehmet Emir Koksal (2016)

Open Mathematics

Necessary and sufficiently conditions are derived for the decomposition of a second order linear time- varying system into two cascade connected commutative first order linear time-varying subsystems. The explicit formulas describing these subsystems are presented. It is shown that a very small class of systems satisfies the stated conditions. The results are well verified by simulations. It is also shown that its cascade synthesis is less sensitive to numerical errors than the direct simulation...

Decomposition of large-scale stochastic optimal control problems

Kengy Barty, Pierre Carpentier, Pierre Girardeau (2010)

RAIRO - Operations Research

In this paper, we present an Uzawa-based heuristic that is adapted to certain type of stochastic optimal control problems. More precisely, we consider dynamical systems that can be divided into small-scale subsystems linked through a static almost sure coupling constraint at each time step. This type of problem is common in production/portfolio management where subsystems are, for instance, power units, and one has to supply a stochastic power demand at each time step. We outline the framework...

Delay-dependent generalized H₂ control for discrete T-S fuzzy large-scale stochastic systems with mixed delays

Jiangrong Li, Junmin Li, Zhile Xia (2011)

International Journal of Applied Mathematics and Computer Science

This paper is concerned with the problem of stochastic stability and generalized H₂ control for discrete-time fuzzy largescale stochastic systems with time-varying and infinite-distributed delays. Large-scale interconnected systems consist of a number of discrete-time interconnected Takagi-Sugeno (T-S) subsystems. First, a novel Delay-Dependent Piecewise Lyapunov-Krasovskii Functional (DDPLKF) is proposed, in which both the upper and the lower bound of delays are considered. Then, two improved delay-dependent...

Diagnosis on a sliding window for partially observable Petri nets

Amira Chouchane, Philippe Declerck (2022)

Kybernetika

In this paper, we propose an algebraic approach to investigate the diagnosis of partially observable labeled Petri nets based on state estimation on a sliding window of a predefined length h . Given an observation, the resulting diagnosis state can be computed while solving integer linear programming problems with a reduced subset of basis markings. The proposed approach consists in exploiting a subset of h observations at each estimation step, which provides a partial diagnosis relevant to the current...

Distributed accelerated Nash equilibrium learning for two-subnetwork zero-sum game with bilinear coupling

Xianlin Zeng, Lihua Dou, Jinqiang Cui (2023)

Kybernetika

This paper proposes a distributed accelerated first-order continuous-time algorithm for O ( 1 / t 2 ) convergence to Nash equilibria in a class of two-subnetwork zero-sum games with bilinear couplings. First-order methods, which only use subgradients of functions, are frequently used in distributed/parallel algorithms for solving large-scale and big-data problems due to their simple structures. However, in the worst cases, first-order methods for two-subnetwork zero-sum games often have an asymptotic or O ( 1 / t ) convergence....

Distributed classification learning based on nonlinear vector support machines for switching networks

Yinghui Wang, Peng Lin, Huashu Qin (2017)

Kybernetika

In this paper, we discuss the distributed design for binary classification based on the nonlinear support vector machine in a time-varying multi-agent network when the training data sets are distributedly located and unavailable to all agents. In particular, the aim is to find a global large margin classifier and then enable each agent to classify any new input data into one of the two labels in the binary classification without sharing its all local data with other agents. We formulate the support...

Distributed consensus control for discrete-time linear multi-agent systems with reduced-order observer

Wenhai Chen, Lixin Gao, Xiaole Xu, Bingbing Xu (2015)

Kybernetika

In this paper, we investigate multi-agent consensus problem with discrete-time linear dynamics under directed interaction topology. By assumption that all agents can only access the measured outputs of its neighbor agents and itself, a kind of distributed reduced-order observer-based protocols are proposed to solve the consensus problem. A multi-step algorithm is provided to construct the gain matrices involved in the protocols. By using of graph theory, modified discrete-time algebraic Riccati...

Distributed event-triggered algorithm for optimal resource allocation of multi-agent systems

Weiyong Yu, Zhenhua Deng, Hongbing Zhou, Xianlin Zeng (2017)

Kybernetika

This paper is concerned with solving the distributed resource allocation optimization problem by multi-agent systems over undirected graphs. The optimization objective function is a sum of local cost functions associated to individual agents, and the optimization variable satisfies a global network resource constraint. The local cost function and the network resource are the private data for each agent, which are not shared with others. A novel gradient-based continuous-time algorithm is proposed...

Distributed event-triggered tracking control of leader-follower multi-agent systems with communication delays

Jiangping Hu, Guanrong Chen, Han-Xiong Li (2011)

Kybernetika

As embedded microprocessors are applied widerly to multi-agent systems, control scheduling and time-delay problems arose in the case of limited energy and computational ability. It has been shown that the event-triggered actuation strategy is an effective methodology for designing distributed control of multi-agent systems with limited computational resources. In this paper, a tracking control problem of leader-follower multi-agent systems with/without communication delays is formulated and a distributed...

Distributed filtering of networked dynamic systems with non-gaussian noises over sensor networks: A survey

Derui Ding, Qing-Long Han, Xiaohua Ge (2020)

Kybernetika

Sensor networks are regarded as a promising technology in the field of information perception and processing owing to the ease of deployment, cost-effectiveness, flexibility, as well as reliability. The information exchange among sensors inevitably suffers from various network-induced phenomena caused by the limited resource utilization and complex application scenarios, and thus is required to be governed by suitable resource-saving communication mechanisms. It is also noteworthy that noises in...

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