Development of fractional-order analog integrated controllers – application examples
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Costas Psychalinos
Abstract
A systematic design procedure for designing fractional-order controllers, which offers resistorless realizations, with electronic adjustment of their characteristics, as well as capability of on-chip implementation is presented in this chapter. This is achieved through the utilization of appropriate integer-order transfer functions for approximating the required fractional-order integration/differentiation stages. The derived multi-feedback structures are implemented using operational transconductance amplifiers as active elements in order to perform a voltage-mode realization. Also, possible realization in current-mode has been discussed. The provided application examples about the implementation of dc motor controller and, also, about a brake/throttle controller confirm the correct operation of the derived topologies.
Abstract
A systematic design procedure for designing fractional-order controllers, which offers resistorless realizations, with electronic adjustment of their characteristics, as well as capability of on-chip implementation is presented in this chapter. This is achieved through the utilization of appropriate integer-order transfer functions for approximating the required fractional-order integration/differentiation stages. The derived multi-feedback structures are implemented using operational transconductance amplifiers as active elements in order to perform a voltage-mode realization. Also, possible realization in current-mode has been discussed. The provided application examples about the implementation of dc motor controller and, also, about a brake/throttle controller confirm the correct operation of the derived topologies.
Kapitel in diesem Buch
- 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
Kapitel in diesem Buch
- 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
