Control and Estimation of Piecewise Affine Systems

As a powerful tool to study nonlinear systems and hybrid systems, piecewise affine (PWA) systems have been widely applied to mechanical systems. Control and Estimation of Piecewise Affine Systems presents several research findings relating to the control and estimation of PWA systems in one unified view. Chapters in this title discuss stability results of PWA systems, using piecewise quadratic Lyapunov functions and piecewise homogeneous polynomial Lyapunov functions. Explicit necessary and sufficient conditions for the controllability and reachability of a class of PWA systems are considered along with controller and estimator design methods for PWA systems using linear matrix inequality (LMI) and bilinear matrix inequality (BMI) techniques. A PWA approach to a class of Takagi-Sugeno fuzzy system is discussed in depth. The book uses a number of mechanical systems, such as disk servo systems to illustrate the advantages of the proposed methods. Provides new insights on properties of PWA systems, including stability, stabilizability, reachability and controllability Presents a unified framework for analysis and synthesis of both continuous-time and discrete-time PWA systems Presents novel approaches for stability analysis and control design based on the promising SOS techniques

Produk Detail:

  • Author : Jun Xu
  • Publisher : Elsevier
  • Pages : 254 pages
  • ISBN : 1782421629
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKControl and Estimation of Piecewise Affine Systems

Control and Estimation of Piecewise Affine Systems

Control and Estimation of Piecewise Affine Systems
  • Author : Jun Xu,Lihua Xie
  • Publisher : Elsevier
  • Release : 21 April 2014
GET THIS BOOKControl and Estimation of Piecewise Affine Systems

As a powerful tool to study nonlinear systems and hybrid systems, piecewise affine (PWA) systems have been widely applied to mechanical systems. Control and Estimation of Piecewise Affine Systems presents several research findings relating to the control and estimation of PWA systems in one unified view. Chapters in this title discuss stability results of PWA systems, using piecewise quadratic Lyapunov functions and piecewise homogeneous polynomial Lyapunov functions. Explicit necessary and sufficient conditions for the controllability and reachability of a class

Hybrid Systems: Computation and Control

Hybrid Systems: Computation and Control
  • Author : Magnus Egerstedt,Bud Mishra
  • Publisher : Springer
  • Release : 18 July 2008
GET THIS BOOKHybrid Systems: Computation and Control

This volume contains the proceedings ofthe 11th Workshop on Hybrid Systems: Computation and Control (HSCC 2008) held in St. Louis, Missouriduring April 22–24,2008.The annual workshop on hybrid systems focuses on researchin - bedded,reactivesystemsinvolvingtheinterplaybetweensymbolic/switchingand continuous dynamical behaviors. HSCC attracts academic as well as industrial researchers to exchange information on the latest developments of applications and theoretical advancements in the design, analysis, control, optimization, and implementation of hybrid systems, with particular attention to embedded and networked control systems. New for this

Piecewise Affine Control: Continuous-Time, Sampled-Data, and Networked Systems

Piecewise Affine Control: Continuous-Time, Sampled-Data, and Networked Systems
  • Author : Luis Rodrigues ,Behzad Samadi ,Miad Moarref
  • Publisher : SIAM
  • Release : 06 November 2019
GET THIS BOOKPiecewise Affine Control: Continuous-Time, Sampled-Data, and Networked Systems

Engineering systems operate through actuators, most of which will exhibit phenomena such as saturation or zones of no operation, commonly known as dead zones. These are examples of piecewise-affine characteristics, and they can have a considerable impact on the stability and performance of engineering systems. This book targets controller design for piecewise affine systems, fulfilling both stability and performance requirements. The authors present a unified computational methodology for the analysis and synthesis of piecewise affine controllers, taking an approach that

Optimal Control of Constrained Piecewise Affine Systems

Optimal Control of Constrained Piecewise Affine Systems
  • Author : Frank Christophersen
  • Publisher : Springer
  • Release : 11 September 2007
GET THIS BOOKOptimal Control of Constrained Piecewise Affine Systems

One of the most important and challenging problems in control is the derivation of systematic tools for the computation of controllers for constrained nonlinear systems that can guarantee closed-loop stability, feasibility, and optimality with respect to some performance index. This book focuses on the efficient and systematic computation of closed-form optimal controllers for the powerful class of fast-sampled constrained piecewise affine systems. These systems may exhibit rather complex behavior and are equivalent to many other hybrid system formalisms (combining continuous-valued

Piecewise Linear Control Systems

Piecewise Linear Control Systems
  • Author : Mikael K.-J. Johansson
  • Publisher : Springer
  • Release : 01 July 2003
GET THIS BOOKPiecewise Linear Control Systems

2. Piecewise Linear Modeling . . . . . . . . . . . . . . . . . . . . . 9 2. 1 Model Representation . . . . . . . . . . . . . . . . . . . . . 9 2. 2 Solution Concepts . . . . . . . . . . . . . . . . . . . . . . . 2. 3 Uncertainty Models . . . . . . . . . . . . . . . . . . . . . . 2. 4 Modularity and Interconnections . . . . . . . . . . . . . . 26 2. 5 Piecewise Linear Function Representations . . . . . . . . . 28 2. 6 Comments and References . . . . . . . . . . . . . . . . . . 30 3. Structural Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . 32 3. 1 Equilibrium Points and the Steady State Characteristic . . 32 3. 2 Constraint Verification and Invariance . . . . . . . . . . . 35 3. 3 Detecting Attractive Sliding Modes on Cell Boundaries 37 3. 4 Comments and References . . . . . . . . . . . . . . . . . . 39 4. Lyapunov Stability . . . . . . . . . . . . . . . . . . . . . . . . . . 41 4. 1 Exponential Stability . . . . . . . . . . . . . . . . . . . . . . 41 4. 2 Quadratic Stability . . . . . . . . . . . . . . . . . . . . . . . 42 4. 3 Conservatism of Quadratic Stability . . . . . . . . . . . . . 46 4. 4 From Quadratic to Piecewise Quadratic . . . . . . . . . . . 48 4. 5 Interlude: Describing Partition Properties . . . . . . . . . 51 4. 6 Piecewise Quadratic Lyapunov Functions . . . . . . . . . 55 4. 7 Analysis of Piecewise Linear Differential Inclusions . . . . 61 4. 8 Analysis of Systems with Attractive Sliding Modes . . . . 63 4. 9 Improving Computational

Complex System Modelling and Control Through Intelligent Soft Computations

Complex System Modelling and Control Through Intelligent Soft Computations
  • Author : Quanmin Zhu,Ahmad Taher Azar
  • Publisher : Springer
  • Release : 29 November 2014
GET THIS BOOKComplex System Modelling and Control Through Intelligent Soft Computations

The book offers a snapshot of the theories and applications of soft computing in the area of complex systems modeling and control. It presents the most important findings discussed during the 5th International Conference on Modelling, Identification and Control, held in Cairo, from August 31-September 2, 2013. The book consists of twenty-nine selected contributions, which have been thoroughly reviewed and extended before their inclusion in the volume. The different chapters, written by active researchers in the field, report on both current theories

Assessment and Future Directions of Nonlinear Model Predictive Control

Assessment and Future Directions of Nonlinear Model Predictive Control
  • Author : Rolf Findeisen,Frank Allgöwer,Lorenz Biegler
  • Publisher : Springer
  • Release : 08 September 2007
GET THIS BOOKAssessment and Future Directions of Nonlinear Model Predictive Control

Thepastthree decadeshaveseenrapiddevelopmentin the areaofmodelpred- tive control with respect to both theoretical and application aspects. Over these 30 years, model predictive control for linear systems has been widely applied, especially in the area of process control. However, today’s applications often require driving the process over a wide region and close to the boundaries of - erability, while satisfying constraints and achieving near-optimal performance. Consequently, the application of linear control methods does not always lead to satisfactory performance, and here nonlinear methods

Constrained Optimal Control of Linear and Hybrid Systems

Constrained Optimal Control of Linear and Hybrid Systems
  • Author : Francesco Borrelli
  • Publisher : Springer
  • Release : 04 September 2003
GET THIS BOOKConstrained Optimal Control of Linear and Hybrid Systems

Many practical control problems are dominated by characteristics such as state, input and operational constraints, alternations between different operating regimes, and the interaction of continuous-time and discrete event systems. At present no methodology is available to design controllers in a systematic manner for such systems. This book introduces a new design theory for controllers for such constrained and switching dynamical systems and leads to algorithms that systematically solve control synthesis problems. The first part is a self-contained introduction to multiparametric

Analysis and Design of Hybrid Systems 2006

Analysis and Design of Hybrid Systems 2006
  • Author : Christos Cassandras,Alessandro Giua,Carla Seatzu,Janan Zaytoon
  • Publisher : Elsevier
  • Release : 21 November 2006
GET THIS BOOKAnalysis and Design of Hybrid Systems 2006

This volume contains the proceedings of Analysis and Design of Hybrid Systems 2006: the 2nd IFAC Conference on Analysis and Design of Hybrid Systems, organized in Alghero (Italy) on June 7-9, 2006. ADHS is a series of triennial meetings that aims to bring together researchers and practitioners with a background in control and computer science to provide a survey of the advances in the field of hybrid systems, and of their ability to take up the challenge of analysis, design and verification

Hybrid Systems: Computation and Control

Hybrid Systems: Computation and Control
  • Author : Manfred Morari,Lothar Thiele,Francesca Rossi
  • Publisher : Springer
  • Release : 25 February 2005
GET THIS BOOKHybrid Systems: Computation and Control

This book constitutes the refereed proceedings of the 8th International Workshop on Hybrid Systems: Computation and Control, HSCC 2005, held in Zurich, Switzerland in March 2005. The 40 revised full papers presented together with 2 invited papers and the abstract of an invited talk were carefully reviewed and selected from 91 submissions. The papers focus on modeling, analysis, and implementation of dynamic and reactive systems involving both discrete and continuous behaviors. Among the topics addressed are tools for analysis and verification, control and optimization, modeling,

Analysis and Synthesis of Nonlinear Control Systems

Analysis and Synthesis of Nonlinear Control Systems
  • Author : Miguel Bernal,Doctor Antonio Sala,Zsófia Lendek,Thierry Marie Guerra
  • Publisher : Springer Nature
  • Release : 18 May 2022
GET THIS BOOKAnalysis and Synthesis of Nonlinear Control Systems

This book presents a modern perspective on the modelling, analysis, and synthesis ideas behind convex-optimisation-based control of nonlinear systems: it embeds them in models with convex structures. Analysis and Synthesis of Nonlinear Control Systems begins with an introduction to the topic and a discussion of the problems to be solved. It then explores modelling via convex structures, including quasi-linear parameter-varying, TakagiSugeno models, and linear fractional transformation structures. The authors cover stability analysis, addressing Lyapunov functions and the stability of polynomial

Analysis and Synthesis of Dynamical Systems with Time-Delays

Analysis and Synthesis of Dynamical Systems with Time-Delays
  • Author : Yuanqing Xia,Mengyin Fu,Peng Shi
  • Publisher : Springer Science & Business Media
  • Release : 07 September 2009
GET THIS BOOKAnalysis and Synthesis of Dynamical Systems with Time-Delays

Time-delay occurs in many dynamical systems such as biological systems, chemical systems, metallurgical processing systems, nuclear reactor, long transmission lines in pneumatic, hydraulic systems and electrical networks. Especially, in recent years, time-delay which exists in networked control s- temshasbroughtmorecomplexproblemintoanewresearcharea.Frequently, itisasourceofthegenerationofoscillation,instabilityandpoorperformance. Considerable e?ort has been applied to di?erent aspects of linear time-delay systems during recent years. Because the introduction of the delay factor renders the system analysis more complicated, in addition to the di?culties caused by

Diagnosis and Fault-tolerant Control 1

Diagnosis and Fault-tolerant Control 1
  • Author : Vicenc Puig,Silvio Simani
  • Publisher : John Wiley & Sons
  • Release : 01 December 2021
GET THIS BOOKDiagnosis and Fault-tolerant Control 1

This book presents recent advances in fault diagnosis strategies for complex dynamic systems. Its impetus derives from the need for an overview of the challenges of the fault diagnosis technique, especially for those demanding systems that require reliability, availability, maintainability and safety to ensure efficient operations. Moreover, the need for a high degree of tolerance with respect to possible faults represents a further key point, primarily for complex systems, as modeling and control are inherently challenging, and maintenance is both

Road Traffic Modeling and Management

Road Traffic Modeling and Management
  • Author : Fouzi Harrou,Abdelhafid Zeroual,Mohamad Mazen Hittawe,Ying Sun
  • Publisher : Elsevier
  • Release : 05 October 2021
GET THIS BOOKRoad Traffic Modeling and Management

Road Traffic Modeling and Management: Using Statistical Monitoring and Deep Learning provides a framework for understanding and enhancing road traffic monitoring and management. The book examines commonly used traffic analysis methodologies as well the emerging methods that use deep learning methods. Other sections discuss how to understand statistical models and machine learning algorithms and how to apply them to traffic modeling, estimation, forecasting and traffic congestion monitoring. Providing both a theoretical framework along with practical technical solutions, this book is