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12th international conference on Control Mechatronics and Automation

作者： Silva, Joao Gabriel N. Madeira, Diego de S. Correia, Wilkley B. Univ Fed Ceara Dept Elect Engn Fortaleza Ceara Brazil

ISBN: (纸本)9798331517519;9798331517526

In engineering science, the strategies of data-based control synthesis are valuable tools that allow to obtain a control law without the need to identify or to model the system through its related physics. However, the inherent presence of noise when acquiring data represents an obstacle in the validity of these data to represent accurately the system. In this paper, Lyapunov stability theory, dissipativity theory and Petersen's lemma are utilized to develop an algorithm. The proposed algorithm uses sum-of-squares programming to design a control law that guarantees asymptotic stability of polynomial systems with noisy data. In addition, the develop method is tested in comparison to a D-K iteration method in order to evaluate its performance in terms of computational costs.

关键词： dissipativity theory sum-of-squares programming data-driven nonlinear control

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The solution of unconfined water seepage problem in saturated-unsaturated soil using Bathe algorithm and Signorini condition 3

The solution of unconfined water seepage problem in saturate...

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3rd international conference on Advances in Energy, Environment and Chemical Engineering (AEECE)

作者： Dou, Zhongsi Wu, Jiwen Zhang, Hongmei Huang, Kai Anhui Univ Sci & Technol Sch Earth & Environm Huainan 232001 Anhui Peoples R China Huainan Vocat Tech Coll Huainan 232001 Anhui Peoples R China

Bathe algorithm converts problem of determining inner infiltration face into a material nonlinearity problem, and Signorini condition coverts outflow boundary into conventional water boundary. Because an unsaturated seepage problem is also a nonlinear flow problem, through the joint application of this 2 methods, solving variational inequalities is avoided. In conventional material nonlinearity finite element framework with small modification, using NR algorithm, the solving of unconfined water seepage problems including unsteady and unsaturated water seepage problems is realized. The followings are discussed: (1) the improvement of convergence of Bathe method and its generalized form in a three-dimensional model;(2) use Switching Algorithm of Signorini condition to solve water seepage problems;(3) the under-relaxation methods of improving the convergence and mass conservation when solving unsaturated and unsteady water seepage problems. At last, through classic calculation examples, the calculating accuracy and application fields of the proposed methods are evaluated.

关键词： variational techniques

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Robust stability and control of nonlinear reheat power systems

Robust stability and control of nonlinear reheat power syste...

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2004 IEEE international conference on Control Applications

作者： Ismail, Abdulla Mahmoud, Magdi S. College of Engineering UAE University P. O. Pox 17555 Al-Ain United Arab Emirates

In this paper, the dynamic behavior of reheat power systems is represented by a class of nonlinear time-delay models. Both robust stability and state feedback control problems are considered. A convex programming approach is developed to establish tractable conditions expressed by linear matrix inequalities. The effect of finite feedback gains is cast into the analysis. Simulation results of a typical reheat power system are provided to illustrate the theoretical developments. © 2004 IEEE.

关键词： Electric power systems

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Robust Decentralized Voltage Control of an Islanded Microgrid under Unbalanced and nonlinear Load Conditions

Robust Decentralized Voltage Control of an Islanded Microgri...

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IEEE international conference on Industrial Technology (ICIT)

作者： Emamian, Sepehr Hamzeh, Mohsen Paridari, Kaveh Karimi, Houshang Bakhshai, Alireza Sharif Univ Technol Tehran Iran Queens Univ Kingston ON Canada

ISBN: (纸本)9781467345675;9781467345682

This paper presents a new decentralized control strategy for the islanded operation of a microgrid under unknown load conditions. In the islanded mode of operation, the microgrid should provide the load with a set of regulated balanced three-phase voltages. The load which is parametrically and topologically uncertain can also be unbalanced and/or nonlinear. Thus, the use of conventional control strategies results in the poor performance and even instability of the microgrid system. The proposed method assumes that the load current is a measurable disturbance signal. The robust optimal control approaches are used to design a controller to overcome the disturbances resulting from the unknown loads dynamics. The optimization problem is converted to a convex problem and is solved using the linear matrix inequalities (LMIs). The performance of the designed controller is verified using time-domain simulations carried out in PSCAD/EMTDC software.

关键词： convex programming decentralised control distributed power generation linear matrix inequalities optimal control power generation control robust control time-domain analysis voltage control

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Designing of Optimal Annular Nozzles with Multiphase Flows 2

Designing of Optimal Annular Nozzles with Multiphase Flows

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2nd international conference on Industrial Engineering (ICIE)

作者： Kartashev, A. L. Kartasheva, M. A. South Ural State Univ 76 Lenin Ave Chelyabinsk 454080 Russia

The problem of profiling of optimal (i.e. securing maximum value of thrust) configurations for annular nozzles of the external expansion with a multiphase medium is considered. Direct methods of a calculus of variations are applied to the solution of a problem in view. The variational problem of search of an optimal annular nozzle configuration is reduced to a problem of a nonlinear programming. Optimal configurations of annular nozzles for different working mediums and operating conditions were built as a result of optimization. The result may be used for searching of the optimal configuration of different gas-dynamic devices. (C) The Authors. Published by Elsevier Ltd.

关键词： optimal annular nozzles multiphase flows variational problem

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Algorithms for Solving variational inequalities and Saddle Point Problems with Some Generalizations of Lipschitz Property for Operators 1

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20th international conference on Mathematical Optimization Theory and Operations Research , MOTOR 2021

作者： Titov, Alexander A. Stonyakin, Fedor S. Alkousa, Mohammad S. Gasnikov, Alexander V. Moscow Institute of Physics and Technology Moscow Russia V. I. Vernadsky Crimean Federal University Simferopol Russia HSE University Moscow Russia Institute for Information Transmission Problems RAS Moscow Russia Caucasus Mathematical Center Adyghe State University Maikop Russia

ISBN: (数字)9783030864330

ISBN: (纸本)9783030864323

The article is devoted to the development of numerical methods for solving saddle point problems and variational inequalities with simplified requirements for the smoothness conditions of functionals. Recently, some notable methods for optimization problems with strongly monotone operators were proposed. Our focus here is on newly proposed techniques for solving strongly convex-concave saddle point problems. One of the goals of the article is to improve the obtained estimates of the complexity of introduced algorithms by using accelerated methods for solving auxiliary problems. The second focus of the article is introducing an analogue of the boundedness condition for the operator in the case of arbitrary (not necessarily Euclidean) prox structure. We propose an analogue of the Mirror Descent method for solving variational inequalities with such operators, which is optimal in the considered class of problems. © 2021, Springer Nature Switzerland AG.

关键词： Numerical methods

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Convergence of a finite element approximation to a degenerate parabolic variational inequality with non-smooth data arising from American option valuation

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OPTIMIZATION METHODS & SOFTWARE 2010年第5期25卷 699-723页

作者： Wang, Guanghui Wang, Song Univ Western Australia Sch Math & Stat Crawley WA 6009 Australia Chinese Acad Meteorol Sci State Key Lab Severe Weather LaSW Beijing 100081 Peoples R China

This paper deals with the approximation of solutions to a degenerate variational inequality of parabolic type with a non-smooth final condition arising from American option pricing by the piecewise linear finite element method in space and an implicit time-stepping scheme. We show that the error of the approximation in a weighted Sobolev norm is of order O(h2/3+ t1/3) under some realistic regularity assumptions on the exact solution, where h and t denote the mesh parameters in space and time, respectively. Numerical examples are presented to confirm our theoretical results.

关键词： variational inequality complementarity problem finite element analysis error bounds American option pricing Black-Scholes equation non-smooth data degenerate parabolic partial differential equations

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programming Problems with a Large Number of Objective Functions

Programming Problems with a Large Number of Objective Functi...

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international conference on Numerical Methods and Applications

作者： Resteanu, Cornel Trandafir, Romica Natl Inst Res & Dev Informat 8-10 Averescu Ave Bucharest 011455 1 Romania Tech Univ Civil Engn Bucharest 020396 Romania

ISBN: (纸本)9783642184659

The paper treats the Multi-Objective programming problem with a large composite set of (linear and nonlinear) objective functions, the domain of feasible solutions being defined by a set of linear equalities/inequalities representing a large scale problem. One constructs a preferred solution i.e. a non-dominated solution chosen via extending the decision-making framework. A feasible approach, for this class of problems, is to use a solver for the Linear programming problems and a solver for Multiple Attribute Decision Making problems in combination with Parallel and Distributed Computing techniques based on a GRID configuration.

关键词： Multi-Objective programming Large Scale Problems Multiple Attribute Decision Making Parallel and Distributed Computing GRID Nets

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Improved results on solving convex programming problems with delayed Lagrangian neural networks

Improved results on solving convex programming problems with...

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作者： Huang, Bonan Luo, Yanhong Gong, Dawei Zhang, Huaguang School of Information Science and Engineering Northeastern University Shenyang 110004 China

ISBN: (纸本)9780956715708

This paper is concerned with the stability analysis problem of a delayed Lagrangian neural network designed for solving nonlinear programming problems with linear equality constraints. By constructing a new Lyapnuov-Krasovskii functional and employing the free-weighting matrix method, a less conservative delay-dependent stability criterion is established in terms of linear matrix inequalities (LMIs). Finally, an example is given to illustrate the effectiveness of our proposed method. © 2011 Shanghai Jiaotong Univ.

关键词： Linear matrix inequalities

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Checking existence of tolerance solutions of interval linear equations via mixed integer progrmming

Checking existence of tolerance solutions of interval linear...

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3rd international conference on Manufacturing Science and Engineering (ICMSE 2012)

作者： Wang, Huping Li, Wei Wang, Qin Zhao, Zhili Hangzhou Dianzi Univ Inst Operat Res & Cybernet Hangzhou 310018 Zhejiang Peoples R China China Jiliang Univ Coll Sci Hangzhou 310018 Peoples R China

ISBN: (纸本)9783037853726

An approach to deal with interval linear equations is to reduce the problem into solving several linear (or nonlinear) equations (or inequalities). To obtain characterations of the equations the paper gives a necessary condition of tolerance solutions of interval linear equations by means of nonlinear inequalities. Based on the necessary condition, a sufficience condition for nonexistence of tolerance solutions of the equations is given by use of the well-known Farkas theorem.

关键词： Interval linear equations 0-1 mixed integer programming tolerance solutions Farkas theorem

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