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检索条件"主题词=Sequential Quadratic Programming"

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Using Graph Coloring To Compute Total Derivatives More Efficiently in OpenMDAO

Using Graph Coloring To Compute Total Derivatives More Effic...

引用

AIAA Aviation Forum and Exposition

作者： Gray, Justin S. Hearn, Tristan A. Naylor, Bret A. NASA Glenn Res Ctr Cleveland OH 44139 USA DB Consulting Corp Bethesda MD USA

ISBN: (数字)9781624105890

ISBN: (纸本)9781624105890

When they are applicable, gradient based optimization algorithms are the most efficient way to solve design optimization problems. Although gradient based methods are generally efficient, they can be made significantly more so through the usage of analytic techniques to compute the necessary total derivatives. The traditional forward (direct) and reverse (adjoint) analytic techniques have computational costs that scale linearly with the number of design variables and the number of constraints, respectively. In this work, we present an application of a graph coloring algorithm to the analytic techniques for computing total derivative Jacobians in order to achieve much better computational scaling than the pure analytic methods can provide alone. A detailed theoretical explanation of how coloring algorithms interact with analytic derivative methods is presented that illustrates specific types of sparsity patterns that must be present in total derivative Jacobians in order for this coloring technique to be effective. The new technique has been implemented as a feature in the OpenMDAO framework and the implementation is demonstrated on two example problems. The performance on the example problems up to 50% reduction in compute cost for optimizations with bi-directional coloring compared to traditional constraint aggregation. Additionally, the results show how coloring technique alleviates some of the numerical difficulties that constraint aggregation can cause, leading to the ability to solve larger problems. It is expected that the new method will have wide applicability to multidisciplinary optimization problems, and that its availability in OpenMDAO will offer significant computational savings for users without the need for them to implement the coloring algorithm themselves.

关键词： Computing sequential quadratic programming Computing Cost Air Traffic Control Optimal Control Structural Optimization Numerical Integration Computational Fluid Dynamics Finite Element Analysis Velocity Profiles

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Reactive power optimization algorithm. based on trust-region global SQP

Reactive power optimization algorithm. based on trust-region...

引用

General Meeting of the Power-Engineering-Society

作者： Zhou, Renjun Zhang, Yanping Liu, Jianhua Changsha Univ Sci & Technol Coll Elect Engn Changsha 410076 Peoples R China

ISBN: (纸本)9781424404926

In order to improve the convergence and calculate optimal results reliably and accurately, a trust-region algorithm based on global sequential quadratic programming (SQP) Is presented for reactive power optimization. This method combines global SQP with trust-region method. The method of decomposed inaccurate direction component is adopted to compute trust-region sub problem to guarantee feasible region of this sub problem is not null. The penalty parameter is effectively regulated in Merit Function to avoid the Marotos Effect. This example of the computation shows that this algorithm has global convergence and is fast, accurate and reliable.

关键词： reactive power optimization trust-region method sequential quadratic programming global convergence

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Flight Control System Design for a Flying-Wing Aircraft

Flight Control System Design for a Flying-Wing Aircraft

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IEEE International Conference of Region 10 (TENCON)

作者： Xu Mingxing Zhu Xiaoping Zhou Zhou Zhang Bo Northwestern Polytech Univ Sci & Technol UAV Lab Xian 710072 Peoples R China Northwestern Polytech Univ UAV Res Inst Xian Peoples R China

ISBN: (纸本)9781479928255;9781479928279

In this paper, the flight control system of a flying-wing aircraft is designed. Significant dynamic nonlinearity and control redundancy are main problems for a flying-wing aircraft. As the over-actuated system and dynamic nonlinearity, the flight control system is divided into two parts: control laws and control allocation. Nonlinear dynamic inversion is used to design the control laws to generate control moments as the commands of control allocator. Because the relationship between moment and effector deflection is nonlinear, the nonlinear control allocation based on SQP is designed. The nonlinear control allocation can reduce the errors between commands and responses of control moments.

关键词： nonlinear dynamic inversion nonlinear control allocation sequential quadratic programming flying-wing aircraft

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Nonlinear programming: Algorithms, software, and applications - From small to very large scale optimization

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21st Conference on System Modeling and Optimization

作者： Schittkowski, K Zillober, C Univ Bayreuth Dept Comp Sci D-95440 Bayreuth Germany

ISBN: (纸本)1402077602

We introduce some methods for constrained nonlinear programming that are widely used in practice and that are known under the names SQP for sequential quadratic programming and SCP for sequential convex programming. In both cases, convex subproblems are formulated, in the first case a quadratic programming problem, in the second case a separable nonlinear program in inverse variables. The methods are outlined in a uniform way and the results of some comparative performance tests are listed. We especially show the suitability of sequential convex programming methods to solve some classes of very large scale nonlinear programs, where implicitly defined systems of equations seem to support the usage of inverse approximations. The areas of interest are structural mechanical optimization, i.e., topology optimization, and optimal control of partial differential equations after a full discretization. In addition, a few industrial applications and case studies are shown to illustrate practical situations under which the codes implemented by the authors are in use.

关键词： sequential quadratic programming SQP sequential convex programming SCP comparative tests industrial applications topology optimization optimal control of semilinear elliptic equations

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Nonlinear Model Predictive Control Algorithm Based on Filter-trust-region Method

Nonlinear Model Predictive Control Algorithm Based on Filter...

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31st Chinese Control Conference

作者： Zhao Min Song Pingping Univ Shanghai Sci & Technol Dept Control Sci & Technol Shanghai 200010 Peoples R China

ISBN: (纸本)9789881563811

In this paper, a filter-trust-region method is used in nonlinear model predictive control (NMPC) problem. By means of simultaneous approach based on nonlinear programming, an SQP sub-problem, which treats the iterate step Delta u as an optimal variable, is built. After that, a trust region quadratic programming approach is used to solve the sub-problem, and the filter method is used to decide whether the trial point is better or not as an approximate solution to the optimization problem. And the Hessian matrix update method can also keep the sparse structure which is used to reduce the computational complexity. At last, the simulation result proves that the nonlinear predictive control algorithm based on filter-trust-region SQP method can get feasible solution within limited iterations at each time instant.

关键词： Predictive control Nonlinear programming sequential quadratic programming Trial point Filter-trust-region method

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Computational aspects of camera system calibration

Computational aspects of camera system calibration

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Videometrics VI Conference

作者： Valkenburg, RJ Ind Res Ltd Auckland New Zealand

ISBN: (纸本)0819431125

Camera system calibration and related problems are considered as least squares parameter estimation problems based on error-in-variables regression models. The interrelationship between different methods for solving these problems is investigated. In addition, the origin and interrelationship of some approximate methods is also discussed.

关键词： camera calibration sequential quadratic programming least squares adjustment non-linear least squares Gauss-Newton

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A trust-region algorithm based on global SQP for reactive power optimization

A trust-region algorithm based on global SQP for reactive po...

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2nd International Conference on Electrical and Electronics Engineering (ICEEE 2005)

作者： Zhou, RJ Zhang, YP Yang, HM Changsha Univ Sci & Technol Coll Elect Engn Hunan 410076 Peoples R China

ISBN: (纸本)0780392302

This paper presents a new trust-region algorithm based on global sequential quadratic programming (SQP) for reactive power optimization. This method is not only reliable and accurate which is similar to SQP, but is also global convergent to trust-region search method. To guarantee feasible region of this sub problem is not null, inaccurate direction component decomposed method is adopted to compute trust-region sub problem. In order to avoid the Marotos Effect, the penalty parameter is effectively regulated in Merit Function. This example of the computation shows that this algorithm has global convergence and is fast, accurate and reliable.

关键词： reactive power optimization trust-region method sequential quadratic programming global convergence

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Minimum-Fuel Low-Thrust Transfers for Spacecraft: An Alternative Convex Approach

Minimum-Fuel Low-Thrust Transfers for Spacecraft: An Alterna...

引用

AIAA Science and Technology Forum and Exposition (AIAA SciTech)

作者： Bergin, Camille E. McGlothin, Gillian S. McDonald, Spencer T. Wang, Zhenbo Univ Tennessee Knoxville TN 37916 USA

ISBN: (数字)9781624105951

ISBN: (纸本)9781624105951

The purpose of this paper is to present a fuel-optimal low-thrust transfer problem and a convex approach that can be utilized to identify an optimal solution in real time. In our previous work, two slack variables were introduced to aid in reducing the coupling of the control and state variables. This proves useful in transforming the problem into a convex optimization problem. The main contribution of this paper is that the original optimal control problem can be solved without the use of one of the previously defined slack variables. After eliminating one of these slack variables, the methodology developed in our previous work is followed. In this process the control and state variables are partially decoupled, the control constraints are convexified, and the original problem is translated into a sequence of convex optimization problems. The solution can then be found utilizing interior-point methods. The success and accuracy of this newly developed method is shown through numerical simulations of a minimum-fuel Earth-to-Mars low-thrust transfer problem. The results are compared to the effectiveness of the previous form of this solution process and analyzed for relative performance and efficiency.

关键词： Thrust Fuels Spacecrafts Transversality Condition Nonlinear programming Planets Numerical Simulation Fuel Consumption Exhaust Velocity sequential quadratic programming

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Trajectory planning for multiple robots in bearing-only target localisation

Trajectory planning for multiple robots in bearing-only targ...

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IEEE/RSJ International Conference on Intelligent Robots and Systems

作者： Leung, C Huang, SD Dissanayake, G Furukawa, T Univ Technol Sydney Fac Engn ARC Ctr Excellence Autonomous Syst Sydney NSW 2007 Australia

ISBN: (纸本)0780389123

This paper provides a solution to the optimal trajectory planning problem in target localisation for multiple heterogeneous robots with bearing-only sensors. The objective here is to find robot trajectories that maximise the accuracy of the locations of the targets at a prescribed terminal time. The trajectory planning is formulated as an optimal control problem for a nonlinear system with a gradually identified model and then solved using nonlinear Model Predictive Control (MPC). The solution to the MPC optimisation problem is computed through Exhaustive Expansion Tree Search (EETS) plus sequential quadratic programming (SQP). Simulations were conducted using the proposed methods. Results show that EETS alone performs considerably faster than EETS+SQP with only minor differences in information gain, and that a centralised approach outperforms a decentralised one in terms of information gain. We show that a centralised EETS provides a near optimal solution. We also demonstrate the significance of using a matrix to represent the information gathered.

关键词： bearing only target localisation multi-robot optimal trajectory planning Extended Information Filter Model Predictive Control sequential quadratic programming

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Improving Ride-Comfort of a Quarter-Car Model using Modal Control 7

Improving Ride-Comfort of a Quarter-Car Model using Modal Co...

引用

7th IEEE International Conference on Control, Mechatronics and Automation(ICCMA)

作者： Dogruer, C. U. Hacettepe Univ Dept Mech Engn Ankara Turkey

ISBN: (纸本)9781728137872

In this paper, modal control was used to control the active suspension of a quarter-car model. Modal control can be designed to alter the dynamics of any mode of a system without disturbing the remaining modes. Therefore, in this study, modal control was used to alter the complex eigenvalue of the body-bounce mode of a quarter-car suspension model and thereby by optimizing a measure of the frequency response functions from road disturbance to sprung and unsprung mass displacements, the ride-comfort of a vehicle was improved. It has been shown that modal control can be used in a direct manner to change the dynamics of a vehicle suspension i.e. soft suspension, stiff suspension depending on the driver attitude that affects the vehicle stability and road conditions i.e. urban driving, off-road driving.

关键词： Quarter-Car Model Active Suspension Modal Control MM-Max Optimization sequential quadratic programming

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