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Constructive Approaches to Submanifold Stabilization
  • Language: en
  • Pages: 115

Constructive Approaches to Submanifold Stabilization

Submanifold stabilization is the problem of steering a quantity towards a desired submanifold of the space in which it evolves. This is done by controlling the system producing the quantity in an appropriate fashion. In this thesis, methods for explicitly constructing controllers which solve submanifold stabilization problems are proposed. To this end, three distinct approaches are pursued: For control systems modeled by input-affne differential equations, a construction for turning the submanifold into an asymptotically stable invariant set is presented. For controllers which shall stabilize the submanifold with minimal energy consumption, the structure of such optimal controls is investigated. For control systems modeled by input-output relationships, a framework for bounding the integral deviation of the output from the submanifold is proposed.

Interdisciplinary Applications of Kinematics
  • Language: en
  • Pages: 196

Interdisciplinary Applications of Kinematics

  • Type: Book
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  • Published: 2014-11-01
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  • Publisher: Springer

This book collects a number of important contributions presented during the Second Conference on Interdisciplinary Applications of Kinematics (IAK 2013) held in Lima, Peru. The conference brought together scientists from several research fields, such as computational kinematics, multibody systems, industrial machines, robotics, biomechanics, mechatronics, computational chemistry, and vibration analysis, and embraced all key aspects of kinematics, namely, theoretical methods, modeling, optimization, experimental validation, industrial applications, and design. Kinematics is an exciting area of computational mechanics and plays a central role in a great variety of fields and industrial applications nowadays. Apart from research in pure kinematics, the field deals with problems of practical relevance that need to be solved in an interdisciplinary manner in order for new technologies to develop. The results presented in this book should be of interest for practicing and research engineers as well as Ph.D. students from the fields of mechanical and electrical engineering, computer science, and computer graphics.

Relaxed Barrier Function Based Model Predictive Control
  • Language: en
  • Pages: 278

Relaxed Barrier Function Based Model Predictive Control

In this thesis, we introduce the novel concept of relaxed barrier function based model predictive control and present a comprehensive theoretical and algorithmic framework for the design, analysis, and implementation of relaxed barrier function based MPC approaches. Instead of treating the underlying optimization as an idealized static map, a key motive of the MPC results and algorithms presented in this thesis is to study the interconnected dynamics of controlled plant and iterative optimization algorithm in an integrated barrier function based framework and to analyze the resulting overall closed-loop system both from a systems theoretic and algorithmic perspective. One of the presented ma...

On Distributed and Cooperative Control Design for Networks of Dynamical Systems
  • Language: en
  • Pages: 185

On Distributed and Cooperative Control Design for Networks of Dynamical Systems

This thesis contributes to the development of a cooperative control theory for homogeneous and heterogeneous multi-agent systems consisting of identical and non-identical dynamical agents, respectively. The goal is to explain fundamental effects of non-identical agent dynamics on the behavior of a distributed system and, primarily, to develop suitable control design methods for a wide range of multi-agent coordination problems. Output synchronization problems as well as cooperative disturbance rejection and reference tracking problems in multi-agent systems are investigated. Suitable controller design methods for networks consisting of identical or non-identical linear time-invariant systems, linear parameter-varying systems, and selected classes of nonlinear systems are developed. These controller design methods provide a solution to a wide variety of distributed coordination and cooperative control scenarios.

Determining input-output properties of linear time-invariant systems from data
  • Language: en
  • Pages: 151

Determining input-output properties of linear time-invariant systems from data

Due to their relevance in systems analysis and controller design, this thesis considers the problem of determining input-output properties of linear time-invariant systems. While obtaining a suitable mathematical model describing the input-output behavior of a dynamical system can be a difficult task, data of the system in form of input-output trajectories is often and increasingly available. This thesis therefore introduces three complementary data-driven analysis methods to determine input-output properties directly from data without deriving a mathematical model first. In particular, the results of this thesis include iterative methods, where data is actively sampled by performing experim...

Optimization of the Communication System for Networked Control Systems
  • Language: en
  • Pages: 154

Optimization of the Communication System for Networked Control Systems

Networked Control Systems are control systems, where the feedback loop is closed by a communication system. Within the past decades, the effects of the properties of the communication system, like loss, delay, or bandwidth constraints, on the control performance have been studied thoroughly. Since the properties of the communication system depend on the design of the communication system and its usage, the goal of this thesis is to work towards a joint design of the controller and the communication system for networked control systems. To achieve this goal, the thesis builds upon previous works from the field of networked control systems, where controller design methods for a communication system with given properties are developed, but takes into account that these properties depend on the design of the communication system and its usage. Based on well known ideas from communication theory, several methods to improve the control performance by optimizing the communication system are presented.

Analysis and Control of Cellular Ensembles. Exploiting dimensionality reduction in single-cell data and models
  • Language: en
  • Pages: 150

Analysis and Control of Cellular Ensembles. Exploiting dimensionality reduction in single-cell data and models

An ensemble system is a collection of nearly identical dynamical systems which admit a certain degree of heterogeneity, and which are subject to the restriction that they may only be manipulated or observed as a whole. This thesis presents analysis and control methods for cellular ensembles by considering reduced 1-dimensional dynamics of biological processes in high-dimensional single-cell data and models. To be more specific, we address the quest for real-time analysis of biological processes within single-cell data by introducing the measure-preserving map of pseudotime into real-time, in short MAPiT. MAPiT enables the reconstruction of temporal and spatial dynamics from single-cell snaps...

Feedback Systems: Input-output Properties
  • Language: en
  • Pages: 283

Feedback Systems: Input-output Properties

  • Type: Book
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  • Published: 2012-12-02
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  • Publisher: Elsevier

Feedback Systems: Input-output Properties deals with the basic input-output properties of feedback systems. Emphasis is placed on multiinput-multioutput feedback systems made of distributed subsystems, particularly continuous-time systems. Topics range from memoryless nonlinearities to linear systems, the small gain theorem, and passivity. Norms and general theorems are also considered. This book is comprised of six chapters and begins with an overview of a few simple facts about feedback systems and simple examples of nonlinear systems that illustrate the important distinction between the questions of existence, uniqueness, continuous dependence, and boundedness with respect to bounded inpu...

Design, Modeling and Control of Aerial Robots for Physical Interaction and Manipulation
  • Language: en
  • Pages: 222

Design, Modeling and Control of Aerial Robots for Physical Interaction and Manipulation

Aerial robots, meaning robots with flying capabilities, are essentially robotic platforms, which are autonomously controlled via some sophisticated control engineering tools. Similar to aerial vehichles, they can overcome the gravitational forces thanks to their design and/or actuation type. What makes them different from the conventional aerial vehicles, is the level of their autonomy. Reducing the complexity for piloting of such robots/vehicles provide the human operator more freedom and comfort. With their increasing autonomy, they can perform many complicated tasks by their own (such as surveillance, monitoring, or inspection), leaving the human operator the most high-level decisions to ...

Optimization and Dynamical Systems
  • Language: en
  • Pages: 409

Optimization and Dynamical Systems

This work is aimed at mathematics and engineering graduate students and researchers in the areas of optimization, dynamical systems, control sys tems, signal processing, and linear algebra. The motivation for the results developed here arises from advanced engineering applications and the emer gence of highly parallel computing machines for tackling such applications. The problems solved are those of linear algebra and linear systems the ory, and include such topics as diagonalizing a symmetric matrix, singular value decomposition, balanced realizations, linear programming, sensitivity minimization, and eigenvalue assignment by feedback control. The tools are those, not only of linear algebr...