A Convex Optimization Approach to the Design of Multiobjective Discrete Time Systems

A Convex Optimization Approach to the Design of Multiobjective Discrete Time Systems
Author: Anirudh Oberoi
Publisher:
Total Pages: 160
Release: 2004
Genre: Digital control systems
ISBN:

Demonstrates that a robust control approach based on Linear Matrix Inequalities (LMIs) provides a rigorous framework for the systematic analysis and design of noise-shaping coders in contrast to existing ad hoc design techniques used for such problems traditionally. A MATLAB toolbox for discrete-time controller design using the LMI approach was implemented. In order to illustrate the advantages and effectiveness of the LMI framework to multiobjective design problems, it was applied to the design of a noise-shaping feedback coder.

Algorithms for Convex Optimization

Algorithms for Convex Optimization
Author: Nisheeth K. Vishnoi
Publisher: Cambridge University Press
Total Pages: 314
Release: 2021-10-07
Genre: Computers
ISBN: 1108633994

In the last few years, Algorithms for Convex Optimization have revolutionized algorithm design, both for discrete and continuous optimization problems. For problems like maximum flow, maximum matching, and submodular function minimization, the fastest algorithms involve essential methods such as gradient descent, mirror descent, interior point methods, and ellipsoid methods. The goal of this self-contained book is to enable researchers and professionals in computer science, data science, and machine learning to gain an in-depth understanding of these algorithms. The text emphasizes how to derive key algorithms for convex optimization from first principles and how to establish precise running time bounds. This modern text explains the success of these algorithms in problems of discrete optimization, as well as how these methods have significantly pushed the state of the art of convex optimization itself.

Mathematical Modeling and Supercomputer Technologies

Mathematical Modeling and Supercomputer Technologies
Author: Dmitry Balandin
Publisher: Springer Nature
Total Pages: 418
Release: 2021-06-23
Genre: Computers
ISBN: 3030787591

This book constitutes selected and revised papers from the 20th International Conference on Mathematical Modeling and Supercomputer Technologies, MMST 2020, held in Nizhny Novgorod, Russia, in November 2020. Due to the COVID-19 pandemic the conference was held online. The 25 full papers and 8 short papers presented in the volume were thoroughly reviewed and selected from the 106 submissions. They are organized in topical secions on ​computational methods for mathematical models analysis; computation in optimization and optimal control; supercomputer simulation.

Linear Parameter-Varying Control for Engineering Applications

Linear Parameter-Varying Control for Engineering Applications
Author: Andrew P. White
Publisher: Springer Science & Business Media
Total Pages: 118
Release: 2013-03-30
Genre: Technology & Engineering
ISBN: 1447150406

The subject of this brief is the application of linear parameter-varying (LPV) control to a class of dynamic systems to provide a systematic synthesis of gain-scheduling controllers with guaranteed stability and performance. An important step in LPV control design, which is not well covered in the present literature, is the selection of weighting functions. The proper selection of weighting functions tunes the controller to obtain the desired closed-loop response. The selection of appropriate weighting functions is difficult and sometimes appears arbitrary. In this brief, gain-scheduling control with engineering applications is covered in detail, including the LPV modeling, the control problem formulation, and the weighting function optimization. In addition, an iterative algorithm for obtaining optimal output weighting functions with respect to the H2 norm bound is presented in this brief. Using this algorithm, the selection of appropriate weighting functions becomes an automatic process. The LPV design and control synthesis procedures in this brief are illustrated using: • air-to-fuel ratio control for port-fuel-injection engines; • variable valve timing control; and • application to a vibration control problem. After reading this brief, the reader will be able to apply its concepts to design gain-scheduling controllers for their own engineering applications. This brief provides detailed step-by-step LPV modeling and control design strategies along with an automatic weight-selection algorithm so that engineers can apply state-of-the-art LPV control synthesis to solve their own engineering problems. In addition, this brief should serve as a bridge between the H-infinity and H2 control theory and the real-world application of gain-scheduling control.

A Branch-and-Bound Algorithm for Multiobjective Mixed-integer Convex Optimization

A Branch-and-Bound Algorithm for Multiobjective Mixed-integer Convex Optimization
Author: Stefan Rocktäschel
Publisher: Springer Nature
Total Pages: 70
Release: 2020-01-21
Genre: Mathematics
ISBN: 3658291494

Stefan Rocktäschel introduces a branch-and-bound algorithm that determines a cover of the efficient set of multiobjective mixed-integer convex optimization problems. He examines particular steps of this algorithm in detail and enhances the basic algorithm with additional modifications that ensure a more precise cover of the efficient set. Finally, he gives numerical results on some test instances.

Multi-Objective Optimization System Designs and Their Applications

Multi-Objective Optimization System Designs and Their Applications
Author: Bor-Sen Chen
Publisher: CRC Press
Total Pages: 466
Release: 2023-12-05
Genre: Technology & Engineering
ISBN: 1000999491

This book introduces multi-objective design methods to solve multi-objective optimization problems (MOPs) of linear/nonlinear dynamic systems under intrinsic random fluctuation and external disturbance. The MOPs of multiple targets for systems are all transformed into equivalent linear matrix inequality (LMI)-constrained MOPs. Corresponding reverse-order LMI-constrained multi-objective evolution algorithms are introduced to solve LMI-constrained MOPs using MATLAB®. All proposed design methods are based on rigorous theoretical results, and their applications are focused on more practical engineering design examples. Features: Discusses multi-objective optimization from an engineer’s perspective Contains the theoretical design methods of multi-objective optimization schemes Includes a wide spectrum of recent research topics in control design, especially for stochastic mean field diffusion problems Covers practical applications in each chapter, like missile guidance design, economic and financial systems, power control tracking, minimization design in communication, and so forth Explores practical multi-objective optimization design examples in control, signal processing, communication, and cyber-financial systems This book is aimed at researchers and graduate students in electrical engineering, control design, and optimization.

Proceedings of 2013 Chinese Intelligent Automation Conference

Proceedings of 2013 Chinese Intelligent Automation Conference
Author: Zengqi Sun
Publisher: Springer Science & Business Media
Total Pages: 841
Release: 2013-06-24
Genre: Technology & Engineering
ISBN: 3642385249

Proceedings of the 2013 Chinese Intelligent Automation Conference presents selected research papers from the CIAC’13, held in Yangzhou, China. The topics include e.g. adaptive control, fuzzy control, neural network based control, knowledge based control, hybrid intelligent control, learning control, evolutionary mechanism based control, multi-sensor integration, failure diagnosis, and reconfigurable control. Engineers and researchers from academia, industry, and government can gain an inside view of new solutions combining ideas from multiple disciplines in the field of intelligent automation. Zengqi Sun and Zhidong Deng are professors at the Department of Computer Science, Tsinghua University, China.

Modeling and Control of Vibration in Mechanical Systems

Modeling and Control of Vibration in Mechanical Systems
Author: Chunling Du
Publisher: CRC Press
Total Pages: 336
Release: 2018-09-03
Genre: Technology & Engineering
ISBN: 1439817995

From the ox carts and pottery wheels the spacecrafts and disk drives, efficiency and quality has always been dependent on the engineer’s ability to anticipate and control the effects of vibration. And while progress in negating the noise, wear, and inefficiency caused by vibration has been made, more is needed. Modeling and Control of Vibration in Mechanical Systems answers the essential needs of practitioners in systems and control with the most comprehensive resource available on the subject. Written as a reference for those working in high precision systems, this uniquely accessible volume: Differentiates between kinds of vibration and their various characteristics and effects Offers a close-up look at mechanical actuation systems that are achieving remarkably high precision positioning performance Includes techniques for rejecting vibrations of different frequency ranges Covers the theoretical developments and principles of control design with detail elaborate enough that readers will be able to apply the techniques with the help of MATLAB® Details a wealth of practical working examples as well as a number of simulation and experimental results with comprehensive evaluations The modern world’s ever-growing spectra of sophisticated engineering systems such as hard disk drives, aeronautic systems, and manufacturing systems have little tolerance for unanticipated vibration of even the slightest magnitude. Accordingly, vibration control continues to draw intensive focus from top control engineers and modelers. This resource demonstrates the remarkable results of that focus to date, and most importantly gives today’s researchers the technology that they need to build upon into the future. Chunling Du is currently researching modeling and advanced servo control of hard disk drives at the Data Storage Institute in Singapore. Lihua Xie is the Director of the Centre for Intelligent Machines and a professor at Nanyang Technological University in Singapore.