Fractional-order modeling and control of selected physical systems
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Andrzej Dzieliński
Abstract
In this chapter, an overview of some recent results of modeling and identification of systems with ultracapacitors are discussed. These models are necessary for many algorithms to control the process of its charging and discharging. Presented models are of noninteger order which is the consequence of the internal structure of the ultracapacitor. Theoretical considerations on modeling methods and new models derivations are given. Models properties are discussed and are verified by simulations and real live experiments. The models presented justify some well-known behaviors of this elements and circuits where they are applied.
Abstract
In this chapter, an overview of some recent results of modeling and identification of systems with ultracapacitors are discussed. These models are necessary for many algorithms to control the process of its charging and discharging. Presented models are of noninteger order which is the consequence of the internal structure of the ultracapacitor. Theoretical considerations on modeling methods and new models derivations are given. Models properties are discussed and are verified by simulations and real live experiments. The models presented justify some well-known behaviors of this elements and circuits where they are applied.
Chapters in this book
- Frontmatter I
- Preface V
- Contents VII
- Nonlinear control methods 1
- Dynamical properties of fractional models 29
- Modified versions of the fractional-order PID controller 57
- H∞ and H2 control of fractional models 73
- Stability analysis of discrete time distributed order LTI dynamic systems 101
- Continuous-time fractional linear systems: transient responses 119
- Continuous-time fractional linear systems: steady-state responses 149
- State space methods for fractional controllers design 175
- Posicast control of fractional-order systems 201
- FOMCON toolbox for modeling, design and implementation of fractional-order control systems 211
- FOTF Toolbox for fractional-order control systems 237
- Fractional-order controllers for mechatronics and automotive applications 267
- Fractional-order modeling and control of selected physical systems 293
- Control of a soft robotic link using a fractional-order controller 321
- Fractional-order precision motion control for mechatronic applications 339
- Development of fractional-order analog integrated controllers – application examples 357
- Synchronizations in fractional complex networks 379
- New trends in synchronization of fractional-order chaotic systems 397
- Index 423
Chapters in this book
- Frontmatter I
- Preface V
- Contents VII
- Nonlinear control methods 1
- Dynamical properties of fractional models 29
- Modified versions of the fractional-order PID controller 57
- H∞ and H2 control of fractional models 73
- Stability analysis of discrete time distributed order LTI dynamic systems 101
- Continuous-time fractional linear systems: transient responses 119
- Continuous-time fractional linear systems: steady-state responses 149
- State space methods for fractional controllers design 175
- Posicast control of fractional-order systems 201
- FOMCON toolbox for modeling, design and implementation of fractional-order control systems 211
- FOTF Toolbox for fractional-order control systems 237
- Fractional-order controllers for mechatronics and automotive applications 267
- Fractional-order modeling and control of selected physical systems 293
- Control of a soft robotic link using a fractional-order controller 321
- Fractional-order precision motion control for mechatronic applications 339
- Development of fractional-order analog integrated controllers – application examples 357
- Synchronizations in fractional complex networks 379
- New trends in synchronization of fractional-order chaotic systems 397
- Index 423
