检索结果-内蒙古大学图书馆

H∞ control design for non-linear distributed parameter systems with mobile actuators and sensors

IET CONTROL theory AND applications 2019年第14期13卷 2228-2238页

作者： Zhang, Xiao-Wei Wu, Huai-Ning Beijing Univ Aeronaut & Astronaut Beihang Univ Sch Automat Sci & Elect Engn Sci & Technol Aircraft Control Lab Beijing 100191 Peoples R China

This study deals with the H-infinity control design problem for a class of non-linear distributed parameter systems described by parabolic partial differential equations (PDEs) via mobile collocated actuators and sensors. Initially, the spatial domain is decomposed into multiple subdomains according to the number of actuator/sensor pairs and the projection modification algorithm is employed to guarantee each actuator/sensor pair is only capable of moving within the respective subdomain. Subsequently, the well-posedness of the closed-loop PDE system is analysed by means of the operator semigroup theory. Then, a control-plus-guidance design method for the non-linear PDE system is developed in the form of bilinear matrix inequalities, such that the resulting closed-loop system is exponentially stable while satisfying a prescribed H-infinity performance of disturbance attenuation, and the mobile actuator/sensor guidance can enhance the transient performance of the closed-loop system. Finally, a numerical example and a practical application example are respectively given to show the effectiveness of the proposed design method.

关键词： actuator/sensor pair mobile actuators Stability in control theory control system synthesis partial differential equations Control system analysis and synthesis methods Nonlinear control systems control-plus-guidance design method closed loop systems numerical approximation and analysis Differential equations (numerical analysis) algebra Function theory, analysis nonlinear distributed parameter systems mobile collocated actuators mobile actuator/sensor guidance nonlinear control systems Mathematical analysis sensors parabolic equations distributed parameter systems resulting closed-loop system control design problem Distributed parameter control systems actuators nonlinear PDE system parabolic partial differential equations closed-loop PDE system

来源：评论

学校读者我要写书评

暂无评论

Faster randomized infeasible interior point methods for tall/wide linear programs 34

Faster randomized infeasible interior point methods for tall...

引用

34th conference on Neural Information Processing Systems, NeurIPS 2020

作者： Chowdhury, Agniva London, Palma Avron, Haim Drineas, Petros Department of Statistics Purdue University West LafayetteIN United States ORIE Department Cornell University IthacaNY United States School of Mathematical Sciences Tel Aviv University Tel Aviv Israel Department of Computer Science Purdue University West LafayetteIN United States

linear programming (LP) is used in many machine learning applications, such as l1-regularized SVMs, basis pursuit, nonnegative matrix factorization, etc. Interior Point methods (IPMs) are one of the most popular methods to solve LPs both in theory and in practice. Their underlying complexity is dominated by the cost of solving a system of linear equations at each iteration. In this paper, we consider infeasible IPMs for the special case where the number of variables is much larger than the number of constraints (i.e., wide), or vice-versa (i.e., tall) by taking the dual. Using tools from Randomized linear algebra, we present a preconditioning technique that, when combined with the Conjugate Gradient iterative solver, provably guarantees that infeasible IPM algorithms (suitably modified to account for the error incurred by the approximate solver), converge to a feasible, approximately optimal solution, without increasing their iteration complexity. Our empirical evaluations verify our theoretical results on both real and synthetic data. © 2020 Neural information processing systems foundation. All rights reserved.

关键词： linear programming

来源：评论

学校读者我要写书评

暂无评论

Internally positive representations and stability analysis of linear differential systems with multiple time-varying delays

引用

IET CONTROL theory AND applications 2019年第7期13卷 920-927页

作者： De Iuliis, Vittorio D'Innocenzo, Alessandro Germani, Alfredo Manes, Costanzo Univ Aquila Dipartimento Ingn & Sci Informaz & Mat Via Vetoio I-67100 Coppito AQ Italy

This work introduces the internally positive representation of linear time-varying delay differential systems, in the general case of multiple time-varying delays. The technique, previously established for the delay-free case and recently extended to various classes of linear delay systems, aims at building a positive representation of systems whose dynamics is, in general, not definite in sign, in order to export results that only hold for positive systems to arbitrary ones. In the special case of constant matrices, this leads to a simple and easy to check condition for the delay-independent stability of differential systems with multiple time-varying delays. The condition is shown to be less conservative than some well-known conditions available in the literature. numerical examples are proposed to validate the theoretical results.

关键词： delays stability linear systems delay systems matrix algebra time-varying systems Lyapunov methods delay-differential systems systems whose dynamics positive systems delay-independent stability multiple time-varying delays internally positive representation linear differential systems linear time-varying delay differential systems delay-free case linear delay systems

来源：评论

学校读者我要写书评

暂无评论

Max Plus algebra, Optimization and Game theory

Max Plus Algebra, Optimization and Game Theory

引用

International conference on Mathematical Analysis and applications in Modeling, ICMAAM 2018

作者： Dubey, Dipti Neogy, S.K. Sinha, Sagnik Indian Statistical Institute 7 S.J.S. Sansanwal Marg New Delhi110016 India Jadavpur University Kolkata India

ISBN: (纸本)9789811504211

Max-plus algebra has been applied to several fields like matrix algebra, cryptography, transportation, manufacturing, information technology and study of discrete event systems like subway traffic networks, parallel processing systems, telecommunication networks for many years. In this paper, we discuss various optimization problem using methods based on max-plus algebra, which has maximization and addition as its basic arithmetic operations. We present some sub-classes of mathematical optimization problems like linear programming, convex quadratic programming problem, fractional programming problem, bimatrix game problem and some classes of stochastic game problem in max algebraic framework and discuss various connections between max-plus algebra and optimization. © 2020, Springer Nature Singapore Pte Ltd.

关键词： linear programming

来源：评论

学校读者我要写书评

暂无评论

New results on restricted static output feedback $H_{\infty }$H∞ controller design with regional pole placement

引用

IET CONTROL theory AND applications 2019年第8期13卷 1095-1104页

作者： Sahoo, Pradosh Ranjan Goyal, Jitendra Kumar Ghosh, Sandip Naskar, Asim Kumar MITS Madanpalle Dept Elect & Elect Engn Chittoor 517325 AP India IIT BHU Dept Elect Engn Varanasi 221005 Uttar Pradesh India NIT Rourkela Dept Elect Engn Rourkela 769008 Odisha India

This study addresses the design of static output feedback (SOF) controller for continuous time linear systems. New sufficient conditions are derived for designing SOF controllers. The development involves suitable decomposition of Lyapunov matrices and deriving linear matrix inequality (LMI) criterion that ensures $H_{\infty }$H infinity performance. LMI criteria for pole placement in the LMI region are also derived. The proposed criteria can be used for restricted SOF controller design effectively. Several numerical examples are presented to demonstrate the effectiveness of the proposed results.

关键词： static output feedback controller pole assignment suitable decomposition SOF controller design restricted SOF controller design Stability in control theory control system synthesis Control system analysis and synthesis methods restricted static output Lyapunov matrix equations regional pole placement linear systems feedback algebra Lyapunov methods sufficient conditions LMI region continuous time systems Optimal control linear matrix inequalities Lyapunov matrices Discrete control systems continuous time linear systems linear matrix inequality criterion discrete time systems LMI criteria

来源：评论

学校读者我要写书评

暂无评论

algebraic proof methods for identities of matrices and operators: Improvements of Hartwig's triple reverse order law

引用

APPLIED MATHEMATICS AND COMPUTATION 2021年 409卷

作者： Cvetkovic-Ilic, Dragana S. Hofstadler, Clemens Poor, Jamal Hossein Milosevic, Jovana Raab, Clemens G. Regensburger, Georg Univ Nis Dept Math Fac Sci & Math Nish Serbia Johannes Kepler Univ Linz Inst Algebra Linz Austria

When improving results about generalized inverses, the aim often is to do this in the most general setting possible by eliminating superfluous assumptions and by simplifying some of the conditions in statements. In this paper, we use Hartwig's well-known triple reverse order law as an example for showing how this can be done using a recent framework for algebraic proofs and the software package OperatorGB. Our improvements of Hartwig's result are proven in rings with involution and we discuss computer-assisted proofs that show these results in other settings based on the framework and a single computation with noncommutative polynomials. (C) 2021 Elsevier Inc. All rights reserved.

关键词： Matrices and linear operators algebraic operator identities Generalized inverses Reverse order law Automated proofs Noncommutative polynomials Quiver representations

来源：评论

学校读者我要写书评

暂无评论

Accelerating the Advanced-Step NMPC by a Lifted Implicit Runge-Kutta Integrator for Fast Embedded applications 39

Accelerating the Advanced-Step NMPC by a Lifted Implicit Run...

引用

39th Chinese Control conference (CCC)

作者： Zhu, Zhu Jiang, Canghua Jin, Cheng Guo, Zhiqiang Xu, Zongqi Hefei Univ Technol Sch Elect Engn & Automat Hefei Peoples R China Zhongxing Telecommun Equipment ZTE Corp Nanjing 210012 Peoples R China China Railway Signal & Commun Res & Design Inst G Beijing 100073 Peoples R China

ISBN: (纸本)9789881563903

In order to reduce computational delay, advanced-step nonlinear model predictive control (asNMPC) divides the on-line computation into two steps. In the first step, an optimal control problem with predicted initial state is solved. Then, the computed control action is corrected by sensitivity update in the second step once the measurement of state is available. Since sensitivity update is valid only for small perturbation, the steps for state prediction cannot be too many, and the time constraint for the computation of optimal control is still stringent. For fast embedded applications, this paper proposes to incorporate a lifted implicit Runge-Kutta (IRK) integrator in the scheme of asNMPC. The derived nonlinear program (NLP) is thus small and dense, and can be solved without resorting to sparse linear algebra solver. Furthermore, this integrator requires fewer Newton iterations, and possesses similar convergence property as the simultaneous collocation integrator originally used. Based on it, variational sensitivity propagation is applied for gradient computation, which is decoupled from the integration of nominal equation, and thus has improved efficiency. This algorithm is implemented based on Ipopt with sIPOPT library. Warm start for primal and dual variables and the Hessian of the Lagrangian is also implemented. numerical simulations on the control of a Delta robot demonstrate that the lifted IRK integrator can improve the computational efficiency of asNMPC considerably.

关键词： NMPC Differential-algebraic Equation Implicit Runge-Kutta Method Sensitivity Delta Robot

来源：评论

学校读者我要写书评

暂无评论

Convexified H∞ output-feedback consensus synthesis for linear multi-agent systems

引用

IET CONTROL theory AND applications 2019年第11期13卷 1619-1628页

作者： Xue, Xiangming Yuan, Chengzhi Wu, Fen North Carolina State Univ Dept Mech & Aerosp Engn Raleigh NC 27695 USA Univ Rhode Isl Dept Mech Ind & Syst Engn Kingston RI 02881 USA Wuhan Univ Technol Sch Automat Wuhan 430070 Hubei Peoples R China

This study addresses the H infinity consensus problem for linear multi-agent systems subject to external disturbances under the leaderless framework. A novel distributed dynamic output feedback control protocol is proposed, which utilises not only relative output information of neighbouring agents but also relative state information of neighbouring controllers. Through model transformation, the H infinity consensus control problem of multi-agents network is reduced to a set of independent H infinity stabilisation subproblems for n-dimensional linear systems. Sufficient analysis conditions are derived using the Lyapunov method. An important contribution of this work lies in that the leaderless H infinity output-feedback consensus synthesis conditions are convexified without introducing any conservatism and formulated as linear matrix inequalities, which can be solved efficiently via convex optimisation. This is achieved by using a novel dynamic output-feedback controller structure. A numerical example has been used to demonstrate the advantage of theoretical results.

关键词： multi-agent systems multiagent network dynamic output feedback control protocol Multivariable control systems neighbouring controllers Combinatorial mathematics time-varying systems relative output information external disturbances Time-varying control systems stability control system synthesis Stability in control theory Control system analysis and synthesis methods Nonlinear control systems H∞ output-feedback consensus synthesis conditions sufficient analysis conditions linear systems multi-robot systems relative state information distributed control leaderless framework feedback algebra Lyapunov methods dimensional linear systems linear matrix inequalities Discrete control systems linear multiagent systems subject dynamic output-feedback controller structure discrete time systems

来源：评论

学校读者我要写书评

暂无评论

Advances in System Identification: theory and applications

Advances in System Identification: Theory and Applications

引用

IEEE conference on Decision and Control

作者： Damien Guého Puneet Singla Manoranjan Majji Jer-Nan Juang The Pennsylvania State University PA Texas A&M University College Station TX Texas AM University College Station TX

ISBN: (纸本)9781665436601

This paper describes the main features and the most recent developments of system identification in the sense of data-driven modeling of dynamical systems. A brief summary of discrete time-invariant system identification techniques is provided, from the modern work of Gilbert, Kalman and Ho and the introduction of state-space realization, to the most recent developments of the identification of discrete time-varying and nonlinear systems. Important concepts of state-space realization, controllability and observability for linear systems are introduced along with more advanced methods to identify nonlinear dynamics. numerical examples of varying complexity are considered to demonstrate the capability of the different approaches presented in this paper.

关键词： linear systems Heuristic algorithms Robustness Nonlinear dynamical systems System identification Trajectory Kalman filters

来源：评论

学校读者我要写书评

暂无评论

Optimal Restoration of Multiple Signals in Quaternion algebra

Optimal Restoration of Multiple Signals in Quaternion Algebr...

引用

conference on Mobile Multimedia/Image Processing, Security, and applications

作者： Grigoryan, Artyom M. Agaian, Sos S. Univ Texas San Antonio San Antonio TX 78249 USA CUNY CSI New York NY 10021 USA

ISBN: (纸本)9781510635760;9781510635753

This paper offers a new multiple signal restoration tool to solve the inverse problem, when signals are convoluted with a multiple impulse response and then degraded by an additive noise signal with multiple components. Inverse problems arise practically in all areas of science and engineering and refers to as methods of estimating data/parameters, in our case of multiple signals that cannot directly be observed. The presented tool is based on the mapping multiple signals into the quaternion domain, and then solving the inverse problem. Due to the non-commutativity of quaternion arithmetic, it is difficult to find the optimal filter in the frequency domain for degraded quaternion signals. As an alternative, we introduce an optimal filter by using special 4 x4 matrices on the discrete Fourier transforms of signal components, at each frequency-point. The optimality of the solution is with respect to the mean-square-root error, as in the classical theory of the signal restoration by the Wiener filter. The Illustrative example of optimal filtration of multiple degraded signals in the quaternion domain is given. The computer simulations validate the effectiveness of the proposed method.

关键词： Inverse problem of optimal filtration Wiener filter signal restoration quaternion linear convolution quaternion discrete Fourier transform

来源：评论

学校读者我要写书评

暂无评论

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案：

请选择收藏分类：

通借通还

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：