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11th IEEE International Symposium on Applied Computational Intelligence and Informatics (SACI)

作者： Crai, Violeta West Univ Timisoara Dept Math Fac Math & Comp Sci 4 Parvan Blvd Timisoara 300223 Romania

The paper studies the problem of robustness of a general dichotomy concept for linear discrete-time systems in Banach spaces. This concept contains particular cases of well-known dichotomy concepts such as uniform and... 详细信息

ISBN: (纸本)9781509023806

关键词： (h, k)-dichotomy robustness linear discrete-time system

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Iterative Learning Control for linear discrete-time systems with Iteration-varying initial state and Packet Loss

Iterative Learning Control for Linear Discrete-Time Systems ...

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第28届中国控制与决策会议

作者： Qiao Zhu Jun-Zhou Yue Guang-Di Hu Neng Xiong School of Mechanical Engineering Southwest Jiaotong University

ISBN: (纸本)9781467397155

This paper is concerned with the iterative learning control(ILC) design problem of linear discrete-time systems with iteration-varying initial state and packet ***,the iteration-varying initial state and the packet loss is introduced into the ILC *** addition,the ILC design problem is transformed into a controller design problem of2-D Roesser ***,the asymptotic stability of 2-D Roesser models under orthogonal initial states are ***,based on the 2-D asymptotic stability,a ILC algorithm is proposed to deal with the iteration-varying initial state and the packet ***,the effectiveness of the developed ILC algorithm is demonstrated by a simple example with various packet loss rate.

关键词： Iterative learning control linear discrete-time system iteration-varying initial states packet loss 2-D system theory

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Rollout Strategies for Output-Based Event-Triggered Control

Rollout Strategies for Output-Based Event-Triggered Control

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European Control Conference (ECC)

作者： Khashooei, B. Asadi Antunes, D. J. Heemels, W. P. M. H. Eindhoven Univ Technol Dept Mech Engn Eindhoven Netherlands

ISBN: (纸本)9783952426937

Recent research advocates that replacing the periodic communication paradigm by an event-triggered paradigm can have significant benefits for control systems. While in many event-triggered control solutions transmission decisions are based on full state information, in most applications only partial state information is available for feedback (output measurements). Here we propose an optimization-based output-feedback event-triggered solution for linear discrete-time systems which guarantees a performance bound with respect to periodic control, while reducing the communication load. Performance is measured by a quadratic cost. The usefulness of the results is illustrated through a numerical example.

关键词： discrete time systems feedback linear systems optimisation periodic control communication load control system event-triggered control solutions transmission event-triggered paradigm linear discrete-time system optimization-based output-feedback event-triggered solution output measurement output-based event-triggered control partial state information performance bound periodic communication paradigm rollout strategy Actuators Communication networks Cost function Numerical stability Optimal control Standards

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On-line fault detection and isolation for linear discrete-time uncertain systems

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AUTOMATICA 2014年第2期50卷 513-518页

作者： Zhang, Ze Jaimoukha, Imad M. Univ London Imperial Coll Sci Technol & Med Control & Power Grp Dept Elect & Elect Engn London SW7 2AZ England

This work proposes a robust fault detection and isolation (FDI) scheme for linear discrete-time systems subject to faults, bounded additive disturbances and norm-bounded structured uncertainties. FDI is achieved by computing, on-line, upper and lower bounds on the fault signal such that a fault is regarded as having occurred when its upper bound is smaller than zero or lower bound is larger than zero. linear Matrix Inequality (LMI) optimization techniques are used to obtain the bounds. Furthermore, a subsequent-state-estimation technique, together with an estimation horizon update procedure, is proposed, which allows the on-line FDI process to be repeated in a moving horizon procedure. The approach is also extended to solve the fault detection (FD) problem of obtaining lower bounds on the total fault signal energy within the estimation horizon. The scheme gives the best estimates of the fault signals given the information available and is sufficiently flexible to incorporate other information that may be available, such as bounds on the disturbance energy. Thus our scheme is immune to false alarms if the system and disturbance are within the uncertainty description. Moreover, we propose a new robustness result to obtain the bounds, which is an extension of current techniques for handling model uncertainties. Finally, the approach is verified using two numerical examples. (C) 2013 Elsevier Ltd. All rights reserved.

关键词： Fault detection and isolation Structured uncertainty linear discrete-time system linear matrix inequalities

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Data-based controllability analysis of discrete-time linear time-delay systems

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INTERNATIONAL JOURNAL OF systemS SCIENCE 2014年第11期45卷 2411-2417页

作者： Liu, Yang Chen, Hong-Wei Lu, Jian-Quan Zhejiang Normal Univ Dept Math Jinhua 321004 Peoples R China Southeast Univ Dept Math Nanjing 210096 Jiangsu Peoples R China

In this paper, a data-based method is used to analyse the controllability of discrete-time linear time-delay systems. By this method, one can directly construct a controllability matrix using the measured state data without identifying system parameters. Hence, one can save time in practice and avoid corresponding identification errors. Moreover, its calculation precision is higher than some other traditional approaches, which need to identify unknown parameters. Our methods are feasible to the study of characteristics of deterministic systems. A numerical example is given to show the advantage of our results.

关键词： controllability time-delay linear discrete-time system data-based method

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EQUIVALENT DESCRIPTIONS OF A discrete-time FRACTIONAL-ORDER linear system AND ITS STABILITY DOMAINS

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INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE 2012年第3期22卷 533-538页

作者： Ostalczyk, Piotr Lodz Univ Technol Inst Appl Comp Sci PL-90924 Lodz Poland

Two description forms of a linear fractional-order discrete system are considered. The first one is by a fractional-order difference equation, whereas the second by a fractional-order state-space equation. In relation to the two above-mentioned description forms, stability domains are evaluated. Several simulations of stable, marginally stable and unstable unit step responses of fractional-order systems due to different values of system parameters are presented.

关键词： fractional calculus linear discrete-time system stability domain

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Fault detection for non-linear system with unknown input and state constraints

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IET SIGNAL PROCESSING 2013年第9期7卷 800-806页

作者： Luo, Zhen Fang, Huajing Huazhong Univ Sci & Technol Dept Control Sci & Engn Wuhan 430074 Peoples R China

This study extends the problem of fault detection (FD) for linear discrete-time systems with unknown input to non-linear systems. Moreover, based on physical consideration, the constraints of state are considered. A non-linear recursive filter is developed where the constrained state and the input are interconnected. Constraints which can improve the quality of estimation are imposed on individual updated sigma points as well as the updated state. The advantage of algorithm is that it is able to incorporate arbitrary constraints on the states during the estimation procedure. Unknown input which can be any signal is obtained by least-squares unbiased estimation and the state estimation problem is transformed into a standard unscented Kalman filter problem. By testing the mean of the innovation process, a real-time FD approach is proposed. Simulations are provided to demonstrate the effectiveness of the theoretical results.

关键词： fault diagnosis Kalman filters least squares approximations nonlinear filters recursive filters state estimation fault detection nonlinear system linear discrete-time system nonlinear recursive filter quality of estimation sigma point least-squares unbiased estimation state estimation problem Kalman filter problem real-time FD approach

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Consensus of second-order multi-agent systems via sampled control: undirected fixed topology case

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IET CONTROL THEORY AND APPLICATIONS 2012年第7期6卷 893-899页

作者： Wang, S. Xie, D. Tianjin Univ Dept Math Sch Sci Tianjin 300072 Peoples R China

This article studies the average-consensus problem of second-order multi-agent sampled control system with time-varying sampling interval. The sampled control protocol is induced from continuous-time linear consensus protocol by using sampling technology and zero-order hold circuit. First, by the iterative method, the continuous-time multi-agent system can be equivalently transformed into a linear discrete-time system. Then, by algebraic graph theory and matrix theory, the authors analyse the convergence of the system and not only prove the existence of the scaling parameter and time-varying sampling interval but also give the approach of how to choose them. In their study, the eigenvalues of the corresponding Laplacian matrix play a key role in reaching consensus. Finally, an example is provided to illustrate the effectiveness of the theoretical results.

关键词： continuous-time multiagent system Robotics multi-agent systems algebraic graph theory iterative method Combinatorial mathematics time-varying systems time-varying control systems matrix algebra sampling technology linear systems multi-robot systems second-order multiagent sampled control system eigenvalues and eigenfunctions graph theory zero-order hold circuit linear algebra (numerical analysis) second-order multiagent system consensus Interpolation and function approximation (numerical analysis) continuous time systems discrete control systems iterative methods continuous-time linear consensus protocol time-varying sampling interval average-consensus problem linear discrete-time system matrix theory sampled control protocol Laplacian matrix eigenvalues sampled data systems undirected fixed topology case discrete time systems

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Improved zonotopic method to set membership identification for systems with time-varying parameters

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IET CONTROL THEORY AND APPLICATIONS 2011年第17期5卷 2039-2044页

作者： Chai, W. Sun, X. Qiao, J. Beijing Univ Technol Sch Elect Informat & Control Engn Beijing 100124 Peoples R China Beihang Univ Sch Automat Sci & Elect Engn Beijing 100191 Peoples R China

This study proposes an improved zonotopic method to set membership identification for linear discrete-time systems with a bounded description of noise and parameter expansion. As in the previous method, the time-varying nature of parameters is taken into account in a non-conservative way by a zonotope. A new family of zonotopes containing the intersection of a zonotope with a strip is constructed in the observation update procedure. The minimal volume zonotope in this family is selected as the outer bound of the feasible solution set of parameters. It can be proven that this minimal volume zonotope is not larger than the one obtained by means of the previous method. Simulation experiments are conducted showing the performance of the improved method as compared to the previous method and the parallelotopic method. Two types of distribution of the parameter expansion are considered. The results expose the weakness of the previous method and illustrate the effectiveness of the improvement.

关键词： observation update procedure linear systems minimal volume zonotope linear discrete-time system time-varying parameter membership identification zonotopic method bounded description discrete time systems discrete control systems parameter expansion

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Distribution of Terminal Cost Functional in discrete-time Controlled system with Noise-Corrupted State Information

Distribution of Terminal Cost Functional in Discrete-Time Co...

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World Congress on Engineering (WCE 2011)

作者： Glizer, Valery Y. Turetsky, Vladimir Shinar, Josef Ort Braude Coll Dept Math POB 78 IL-21982 Karmiel Israel Technion Israel Inst Technol Fac Aerosp Engn IL-32000 Haifa Israel

ISBN: (纸本)9789881821065

Recursive formulae for the terminal cost distribution in a scalar linear discrete-time system with noise corrupted measurements are obtained. The system is subject to a linear saturated control strategy. The initial state and the estimator error distributions are assumed to be known. An example, inspired by an interception problem, is presented.

关键词： linear discrete-time system robust transferring strategy noisy measurements terminal state distribution

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