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A twist on SLP algorithms for NLP and MINLP problems: an application to gas transmission networks

OPTIMIZATION AND ENGINEERING 2019年第2期20卷 349-395页

作者： Gonzalez Rueda, Angel M. Gonzalez Diaz, Julio Fernandez de Cordoba, Maria P. Univ Santiago de Compostela Dept Stat Math Anal & Optimizat Santiago De Compostela Spain ITMATI IMAT Santiago De Compostela Spain MODESTYA Res Grp Santiago De Compostela Spain

This paper presents a modification of classic SLP algorithms for the resolution of NLP and MINLP problems, and does it with a clear application in mind: optimization of gas transmission networks. The SLP-NTR and 2-step SLP algorithms we present have been developed within the collaboration with a company of the gas industry and thoroughly tested with real problems in this field. Here we present a comparison of their performance with that of classic SLP algorithms and state of the art solvers. Importantly, to provide some foundations for the potential applicability of these new algorithms to general NLP and MINLP problems, we present a theoretical analysis of their properties.

关键词： Gas transmission networks Optimization sequential linear programming NLP problems MINLP problems

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MULTIINPUT MULTIOUTPUT AUTOMATIC DESIGN SYNTHESIS FOR PERFORMANCE AND ROBUSTNESS

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JOURNAL OF GUIDANCE CONTROL AND DYNAMICS 1986年第3期9卷 281-287页

作者： GORDON, VC COLLINS, DJ Naval Postgraduate School Monterey California

A direct-design method for solving the problem of robustness to cross-coupling perturbations in multivariable control systems is presented. The method uses numerical optimization procedures to manipulate the system feedback gains as direct design variables. The manipulation is accomplished in a manner that produces desired performance by pole placement and robustness by modification of the minimum singular values of the system return difference matrix. Channels affected by cross-coupling perturbation may be recognized by the character of their transfer function plots. The pole placement and robustness routine uses gain equalization and zero assignment to modify the characteristics of the system in the design. A modification of the pole placement and robustness routine that may be applied to the design of robust observers is also presented.

关键词： Pole Zero Plot Numerical Optimization Robust Design Multivariable Control System Full State Feedback sequential Quadratic programming sequential linear programming Lagrange Multipliers Search Algorithm Frequency Domain

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ALTERNATIVE OPTIMIZATION STRATEGIES FOR LARGE-SCALE PRODUCTION-ALLOCATION PROBLEMS

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EUROPEAN JOURNAL OF OPERATIONAL RESEARCH 1994年第1期75卷 13-40页

作者： LOOTSMA, FA DELFT UNIV TECHNOL FAC TECHN MATH & INFORMATMEKELWEG 42628 CD DELFTNETHERLANDS

Many optimization problems arising in practice are so complicated that the current tools for optimization do not supply a single, clean answer. We are forced to apply a variety of optimization methods on approximate models, so that we also obtain a variety of approximate solutions. Using a production-allocation problem in Philips Electronics Industries as a vehicle for communication, we generate several near-optimal solutions via decomposition, piece-wise linear programming, and mixed-integer programming. Next, we show that multi-criteria analysis could be used to select one of the resulting allocation patterns for implementation in practice. Thus, instead of a problem with a continuum of alternatives, we eventually consider a finite number of alternatives under several conflicting performance criteria. The study particularly illustrates the significance of mathematical modelling in the power game between globally operating product divisions and locally operating national organizations.

关键词： linear programming MIXED-INTEGER programming sequential linear programming MULTICRITERIA ANALYSIS SCENARIO ANALYSIS MULTI-NATIONAL COMPANIES STRATEGIC PLANNING ECONOMIC INTEGRATION ECONOMIES OF SCALE

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SENSOR-ACTUATOR PLACEMENT FOR FLEXIBLE STRUCTURES WITH ACTUATOR DYNAMICS

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JOURNAL OF GUIDANCE CONTROL AND DYNAMICS 1993年第2期16卷 301-307页

作者： MAGHAMI, PG JOSHI, SM NASA Langley Research Center Hampton Virginia 23681

A novel approach for placement of sensors and actuators in control of flexible space structures is developed. Using an approximation of the control forces and output measurements by spatially continuous functions, the approach follows a nonlinear programming technique to determine optimal locations for sensors and actuators. Two different criteria are considered for the placement of sensors and actuators. The first criterion optimizes the location of the sensors and actuators in order to move the transmission zeros of the system farther to the left of the imaginary axis. The second criterion, however, places the sensors and actuators to optimize a function of the singular values of the Hankel matrix, which includes both measures of controllability and observability. Moreover, the effect of actuator dynamics in the placement of sensors and actuators is investigated.

关键词： Actuators Sensors Flexible Structures Nonlinear programming Space Structures Finite Element Modeling Hankel Singular Value Trusses sequential linear programming Theory of Shells

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Maximization of the fundamental frequencies of laminated curved panels against fiber orientation

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JOURNAL OF AIRCRAFT 1997年第6期34卷 792-801页

作者： Hu, HT Juang, CD National Cheng Kung University Tainan Taiwan Republic of China

The fundamental frequencies of fiber-reinforced laminated curved panels with a given material system are maximized with respect to fiber orientation by using a sequential linear programming method with a simple move-limit strategy. The significant influences of panel thickness, curvature, aspect ratio, cutouts, and end conditions on the maximum fundamental frequencies and the associated optimal fiber orientations are demonstrated.

关键词： Aspect Ratio sequential linear programming Composite Laminates linear programming Numerical Analysis Abaqus Structural Optimization Stiffness Matrices Transverse Shear Six Degree of Freedom

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A two-stage approach for structural topology optimization

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ADVANCES IN ENGINEERING SOFTWARE 1999年第4期30卷 261-271页

作者： Lin, CY Chou, JN Natl Taiwan Univ Dept Mech Engn Taipei 10672 Taiwan

This paper proposes a two-stage optimization algorithm for topology optimization based on the homogenization method. The multistage approach aims to increase the stability and overall efficiency of homogenization-based topology optimizations. The homogenization method employed in this study uses a material constraint, which seeks the optimal configuration with the least amount of compliance. In a two-stage approach, a finite element model with a large element size was employed in the first stage of the topology optimization. The purpose of using a smaller number of finite elements is to increase the chances of attaining a good topology while the associated computational cost is limited. At the end of the first optimization stage, the optimal topology obtained is subsequently used to construct an initial topology in a finite element model with a smaller element size. The second-stage topology optimization is thus performed with the goal of capturing a topology of good quality with detailed contour description. A number of smoothing strategies for converting the optimal topology into the initial topology in a finer FEM model space are entailed. The stability and effectiveness of the proposed two-stage topology optimization algorithm are illustrated by two structural design problems. (C) 1999 Elsevier Science Ltd. All rights reserved.

关键词： topology optimization homogenization material distribution two-stage approach sequential linear programming

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Compliant mechanical amplifier design using multiple optimally placed actuators

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JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES 2007年第3期18卷 209-217页

作者： Bharti, Smita Frecker, Mary Penn State Univ Dept Mech & Nucl Engn University Pk PA 16802 USA

This article discusses a methodology for designing compliant mechanisms with piezoelectric actuation to obtain maximum deflection and force at the output point. The focus is on design of compliant mechanisms with multiple piezoelectric actuators. The number, size, and position of the actuators within the compliant mechanism are optimized for the maximum output deflection. Predicted results demonstrate that compliant mechanisms with multiple, optimally placed actuators outperform those with a single actuator placed at a predetermined location.

关键词： actuator placement optimization sequential linear programming

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Potential Design for Electron Transmission in Semiconductor Devices

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IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY 2013年第3期21卷 869-874页

作者： Zhang, Jun Kosut, Robert Shanghai Jiao Tong Univ Joint Inst UMich SJTU Shanghai 200240 Peoples R China Minist Educ Key Lab Syst Control & Informat Proc Shanghai 200240 Peoples R China SC Solut Inc Sunnyvale CA 94085 USA

In this brief, we discuss the design of electrostatic potential profile to achieve a desired electron transmission coefficient versus bias voltage characteristics in nanoscale semiconductor devices. This is a common problem in the design of many new electronic devices. We formulate it as a constrained optimization problem, and solve it by sequential linear programming. We further investigate the robust design of potential that is tolerant to noise, disturbance, and parameter uncertainty in the device.

关键词： Electron transmission minimax potential profile robust optimal design sequential linear programming

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Mixture optimization of superdetonative ram accelerator using refined response surface method

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JOURNAL OF PROPULSION AND POWER 2005年第6期21卷 1136-1139页

作者： Lee, JW Jeon, KS Byun, YH Lee, C Jeon, YH Konkuk Univ Ctr Adv eSyst Integrat Technol Seoul 143701 South Korea Konkuk Univ Dept Aerosp Engn Seoul 143701 South Korea Seoul Natl Univ Dept Aerosp Engn Seoul 151742 South Korea

RAM accelerators,which exploit shock-induced combustion around aprojectile,were first introduced by Hertzberg et *** the late 1980s as a new device to acceleratepayload to *** devices can be classified into two types according to their operatingmodes: thermally choked mode and super-detonative *** several experimental and numericalinvestigations,the effect of mixture compositions (oxidizer,propellants,and dilute gas) on the ramaccelerator performance has been investigated,and the existence of optimal mixture compositions hasbeen ***,numerical optimization techniques were implemented to improve the ramaccelerator *** a ring-mounted projectile operating between Mach 6.4 and 8.0,Sabean andLewis performed a shape optimization by selecting projectile configuration as the design variableand thrust coefficient as the design *** approximated the thrust coefficient as aquadratic function of flight speed by evaluating the thrust at several flight conditions.

关键词： Superdetonative Ram Accelerator Projectiles sequential linear programming Genetic Algorithm Surface Modeling Propellant Optimization Algorithm Numerical Optimization Design of Experiments Shape Optimization

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VEHICLE SUSPENSION OPTIMIZATION

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MATHEMATICAL AND COMPUTER MODELLING 1988年第C期11卷 946-949页

作者： PINTADO, P BENITEZ, FG ESCUELA SUPER INGN IND DEPT MECH ENGNE-41012 SEVILLASPAIN

A numerical procedure for obtaining optimal vehicle suspensions has been studied. The vehicle has been modelled by dynamic systems of linear springs and dampers. Several optimizations were accomplished using different... 详细信息

关键词： sequential linear programming optimization acceleration

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