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SIAM JOURNAL ON OPTIMIZATION 2016年第1期26卷 635-660页

作者： Mishra, Bamdev Sepulchre, Rodolphe Amazon Dev Ctr India Bangalore 560055 Karnataka India Univ Liege Dept Elect Engn & Comp Sci B-4000 Liege Belgium Univ Cambridge Dept Engn Control Grp Cambridge CB2 1PZ England Univ Cambridge Dept Engn Cambridge CB2 1PZ England

This paper exploits a basic connection between sequential quadratic programming and Riemannian gradient optimization to address the general question of selecting a metric in Riemannian optimization, in particular when the Riemannian structure is sought on a quotient manifold. The proposed method is shown to be particularly insightful and efficient in quadratic optimization with orthogonality and/or rank constraints, which covers most current applications of Riemannian optimization in matrix manifolds.

关键词： Riemannian optimization sequential quadratic programming metric tuning quotient manifold Grassmann low rank generalized eigenvalue problem Lyapunov equation

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Device-to-Device Communications Underlaying Cellular Networks: To Use Unlicensed Spectrum or Not?

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IEEE TRANSACTIONS ON COMMUNICATIONS 2019年第9期67卷 6598-6611页

作者： Wu, Fanyi Zhang, Hongliang Di, Boya Wu, Jianjun Song, Lingyang Peking Univ Dept Elect Engn Beijing 100871 Peoples R China

In this paper, we consider device-to-device (D2D) communications as an underlay to cellular networks over both licensed and unlicensed spectrums, where long-term evolution (LTE) users utilize the spectrum orthogonally while D2D users share the spectrum with LTE users. In the system, each LTE and D2D user can access the licensed or unlicensed band for communications. To maximize the total throughput of the system, we leverage stochastic geometry to derive the throughput for each kind of user by modeling the deployment of users as Poisson point processes (PPPs), and investigate the spectrum access problem for these users. Since the problem is NP-hard, we propose a sequential quadratic programming (SQP)-based algorithm to obtain the corresponding suboptimal solutions. Theoretically, we evaluate the system performance by analyzing the throughput regions. Simulation results validate the accuracy of the geometric analysis and verify the effectiveness of the proposed algorithm.

关键词： Device-to-device unlicensed communications spectrum access stochastic geometry sequential quadratic programming

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Combination of Nonlinear and Linear Optimization of Transient Gas Networks

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INFORMS JOURNAL ON COMPUTING 2011年第4期23卷 605-617页

作者： Domschke, Pia Geissler, Bjorn Kolb, Oliver Lang, Jens Martin, Alexander Morsi, Antonio Tech Univ Darmstadt Dept Math Ctr Smart Interfaces D-64289 Darmstadt Germany Univ Erlangen Nurnberg Dept Math D-91058 Erlangen Germany Tech Univ Darmstadt Grad Sch Computat Engn D-64289 Darmstadt Germany

In this paper, we study the problem of technical transient gas network optimization, which can be considered a minimum cost flow problem with a nonlinear objective function and additional nonlinear constraints on the network arcs. Applying an implicit box scheme to the isothermal Euler equation, we derive a mixed-integer nonlinear program. This is solved by means of a combination of (i) a novel mixed-integer linear programming approach based on piecewise linearization and (ii) a classical sequential quadratic program applied for given combinatorial constraints. Numerical experiments show that better approximations to the optimal control problem can be obtained by using solutions of the sequential quadratic programming algorithm to improve the mixed-integer linear program. Moreover, iteratively applying these two techniques improves the results even further.

关键词： gas networks optimal control mixed-integer programming nonlinear programming sequential quadratic programming

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Novel Curtailment Control Strategy for Wind Power Plants Based on the SQP Optimization

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JOURNAL OF ELECTRICAL ENGINEERING & TECHNOLOGY 2024年第2期19卷 909-918页

作者： Seo, Kangwon Choi, Donghee Lim, Sunghoon Yonsei Univ Sch Elect & Elect Engn Seoul 03722 South Korea Cheongju Univ Dept Elect & Control Engn Cheongju 28503 South Korea

As the penetration level of renewable energy sources (RESs) increases, the output power of RESs needs to be curtailed to balance the power supply and load demand. Nevertheless, depending on the curtailment control strategy for wind power plants (WPPs), while the total amount of output power curtailment remains the same, the overall stored inertial energy within WPPs may vary. Furthermore, this stored inertial energy within WPPs can be used during disturbances to enhance frequency stability. This paper proposes a novel curtailment control strategy based on the sequential quadratic programming (SQP) optimization algorithm to effectively curtail WPPs and increase the overall stored inertial energy within WPPs. Then, the proposed solution can enhance frequency stability by providing a more inertial response from WPPs during disturbances. To verify the effectiveness of this novel curtailment control strategy, several case studies are conducted using the IEEE 39-bus system. The results show that the proposed curtailment control strategy effectively increases the stored inertial energy within WPPs while satisfying the required output power curtailment.

关键词： Curtailment control strategy Frequency stability Inertial energy sequential quadratic programming

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Optimal planar evasive aircraft maneuvers against proportional navigation missiles

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JOURNAL OF GUIDANCE CONTROL AND DYNAMICS 1996年第6期19卷 1210-1215页

作者： Ong, SY Pierson, BL IOWA STATE UNIV SCI & TECHNOL DEPT AEROSP ENGN & ENGN MECHAMESIA 50011

A comparative study of evasive strategies of an aircraft against a missile with fi?red, gravity-limited, proportional navigation is conducted for both subsonic and supersonic confrontations. A complete point-mass aircraft model and a variable-mass missile model that includes missile dynamics are used. No linearization is required in the analysis, and all motion is constrained to a horizontal plane. sequential quadratic programming is used to solve the optimal control problem. Numerical results are presented for an early model of the F-4 fighter aircraft. In particular, the effects of varying the aircraft/missile initial velocity ratio, the missile initial heading angle, and the missile guidance time constant are determined.

关键词： Proportional Navigation Missiles Trajectory Optimization Heading Angle sequential quadratic programming Missile Guidance Missile Dynamics Fighter Aircraft Aircraft Maneuvers Aerodynamic Coefficients

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Low-thrust minimum-fuel orbital transfer: A homotopic approach

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JOURNAL OF GUIDANCE CONTROL AND DYNAMICS 2004年第6期27卷 1046-1060页

作者： Haberkorn, T Martinon, P Gergaud, J CNRS IRIT ENSEEIHT UMR 5505 F-31071 Toulouse France

We describe in this paper the study of an Earth orbital transfer with a low-thrust (typically electro-ionic) propulsion system. The objective is the maximization of the final mass, which leads to a discontinuous control with a huge number of thrust arcs. The resolution method is based on single shooting, combined to a homotopic approach in order to cope with the problem of the initial guess, which is actually critical for nontrivial problems. An important aspect of this choice is that we make no assumptions on the control structure and in particular do not set the number of thrust arcs. This strategy allowed us to solve our problem (a transfer from low Earth orbit to geosynchronous equatorial orbit, for a spacecraft with mass of 1500 kg, either with or without a rendezvous) for thrusts as low as 0.1 N, which corresponds to a one-year transfer involving several hundreds of revolutions and thrust arcs. The numerical results obtained also revealed strong regularity in the optimal control structure, as well as some practically interesting empiric laws concerning the dependency of the final mass with respect to the transfer time and maximal thrust.

关键词： Orbital Transfer Thrust Pontryagin's Maximum Principle Geosynchronous Equatorial Orbit Earth Propulsion System Perigee Satellites Predictor Corrector Method sequential quadratic programming

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An Indoor Wi-Fi Localization Algorithm Using Ranging Model Constructed With Transformed RSSI and BP Neural Network

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IEEE TRANSACTIONS ON COMMUNICATIONS 2022年第3期70卷 2163-2177页

作者： Lin, Yiruo Yu, Kegen Hao, Lianxiao Wang, Jin Bu, Jinwei China Univ Min & Technol Sch Environm Sci & Spatial Informat Xuzhou 221116 Jiangsu Peoples R China

This paper focuses on improving indoor Wi-Fi localization by mitigating the effect of fluctuation of received signal strength indication (RSSI). The RSSI data collected at each reference point is first transformed through translation and scaling. The BP (Back Propagation) neural network is then used to construct the ranging model using the transformed RSSI to determine the distances between the target point and each reference point. A genetic algorithm (GA) is developed to optimize the initial values of weights and biases of the BP neural network. For convenience, our proposed ranging model is denoted as GTBPD. A new localization algorithm is then proposed, which uses the GTBPD model and the sequential quadratic programming (SQP, an iterative nonlinear optimization algorithm), and the algorithm is denoted as GTBPD-LSQP for simplicity. Experiments were conducted in three areas of two different teaching buildings with complex environments. The performance of the proposed GTBPD-LSQP algorithm is evaluated and compared with four existing algorithms. The experimental results show that our proposed GTBPD-LSQP algorithm achieves significantly higher location accuracy than the four existing algorithms.

关键词： Location awareness Distance measurement Fluctuations Machine learning algorithms Data models Classification algorithms Wireless fidelity Indoor localization RSSI translation and scaling genetic algorithm BP neural network sequential quadratic programming

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Energy optimization in chiller plants: A novel formulation and solution using a hybrid optimization technique

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ENGINEERING OPTIMIZATION 2013年第10期45卷 1187-1203页

作者： Aravelli, Aparna Rao, Singiresu S. Univ Miami Dept Mech & Aerosp Engn Coral Gables FL 33124 USA

The central chilled water plant is one of the major power-consuming units of a building. Even small reductions in power consumption could achieve significant energy conservation. Hence, optimization of a chiller plant is necessary for energy savings without compromising the comfort level of the end user. The present work deals with identifying the system parameters and developing a novel formulation for a chiller plant and its optimization using a hybrid optimization technique. The optimization model formulation is based on finding an optimal mix of equipment and operating parameters in the chiller plant for minimum electrical power consumption. It takes into account the performance characteristics of the chillers, cooling towers and pumps, and optimizes the energy consumed based on the required loads and the ambient atmospheric conditions. sequential quadratic programming combined with the modified branch and bound method was used to develop the hybrid optimization algorithm. A case study is presented for a typical chiller plant. The results indicate that the present optimization method could be a potential method of making energy savings.

关键词： branch and bound method sequential quadratic programming energy conservation chiller plants mixed discrete optimization

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Execution of multidisciplinary design optimization approaches on common test problems

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AIAA JOURNAL 1997年第1期35卷 178-186页

作者： Balling, RJ Wilkinson, CA Brigham Young University Prove Utah 84602-4081

A class of synthetic problems for testing multidisciplinary design optimization (MDO) approaches is presented. These test problems are easy to reproduce because all functions are given as closed-form mathematical expressions. They are constructed in such a way that the optimal value of all variables and the objective is unity. The test problems involve three disciplines and allow the user to specify the number of design variables, state variables, coupling functions, design constraints, controlling design constraints, and the strength of coupling. Several MDO approaches were executed on two sample synthetic test problems. These approaches included single-level optimization approaches, collaborative optimization approaches, and concurrent subspace optimization approaches. Execution results are presented, and the robustness and efficiency of these approaches are evaluated for these sample problems.

关键词： MDO Lagrange Multipliers sequential quadratic programming Cantilever Beam Normal Stress Structural Optimization Young's Modulus Thermodynamics Aerodynamics NASA Langley

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Attitude Dynamics of Electric Sail from Multibody Perspective

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JOURNAL OF GUIDANCE CONTROL AND DYNAMICS 2018年第12期41卷 2633-2646页

作者： Liu, Fei Hu, Quan Liu, Yufei Beijing Inst Technol Sch Aerosp Engn Beijing 100081 Peoples R China Chinese Acad Space Technol Qian Xuesen Lab Space Technol Beijing 100094 Peoples R China

The electric sail is an innovative propellantless propulsion concept that gains continuous momentum from the solar wind. In this work, the electric sail's attitude dynamics is established from a multibody perspective. Firstly, the dynamics of a single charged tether is described by a dumbbell model. Comparisons with an elastic multipoint model show that the dumbbell model is simpler and accurate enough to describe the motion of tether when the spin rate meets a specific lower bound. Then, the electric sail's attitude dynamics model is established through Kane's method based on the dumbbell model of the tethers. Finally, a case study is performed for the electric sail. It is shown that a 4-kmradius electric sail with 12 tethers of which the voltage is 25 kV could provide the sailcraft with a characteristic acceleration of 0.1 mm/s(2). The results also indicate that the satellite bus's acceleration oscillates with the undiminished out-of-plane swing of the electric sail, in which the period and amplitude are in inverse proportional to the spin rate and its square, respectively. Besides, a dynamical equilibrium point for system's attitude exists when the electric sail is perpendicular to the solar wind. The presented work offers a basic referential model for the real-time feedback control problems of the electric sail's attitude.

关键词： Attitude Stabilization Low Thrust Propulsion Satellite Bus Solar Wind Electron Density Feedback Linearization Electrodynamic Tether Interplanetary Mission Roll Out Solar Array Electric Potential sequential quadratic programming

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