Ebook: Fractional-order Systems and Controls: Fundamentals and Applications

Fractional-order Systems and Controls details the use of fractional calculus (calculus of non-integer order) in the description and modeling of systems, and in a range of control design and practical applications. It is largely self-contained, covering the fundamentals of fractional calculus together with some analytical and numerical techniques and providing MATLAB® codes for the simulation of fractional-order control (FOC) systems (available by download from www.springer.com/ISBN). The use of fractional calculus can improve and generalize well-established control methods and strategies. Many different FOC schemes are presented for control and dynamic systems problems. These extend to the challenging control engineering design problems of robust and nonlinear control. Practical material relating to a wide variety of applications including, among others, mechatronics, civil engineering, irrigation and water management, and biological systems is also provided. All the control schemes and applications are presented in the monograph with either system simulation results or real experimental results, or both. Fractional-order Systems and Controls introduces its readers – academic and industrial control researchers interested in mechatronics, nonlinear and robust control, and applications fields from civil engineering to biological systems – to the essentials of FOC and imbues them with a basic understanding of FOC concepts and methods. With this knowledge readers can extend their use of FOC in other industrial system applications, thereby expanding their range of disciplines by exploiting this versatile new set of control techniques.

---

Fractional-order Systems and Controls details the use of fractional calculus (calculus of non-integer order) in the description and modeling of systems, and in a range of control design and practical applications. It is largely self-contained, covering the fundamentals of fractional calculus together with some analytical and numerical techniques and providing MATLAB® codes for the simulation of fractional-order control (FOC) systems (available by download from www.springer.com/ISBN). The use of fractional calculus can improve and generalize well-established control methods and strategies. Many different FOC schemes are presented for control and dynamic systems problems. These extend to the challenging control engineering design problems of robust and nonlinear control. Practical material relating to a wide variety of applications including, among others, mechatronics, civil engineering, irrigation and water management, and biological systems is also provided. All the control schemes and applications are presented in the monograph with either system simulation results or real experimental results, or both. Fractional-order Systems and Controls introduces its readers – academic and industrial control researchers interested in mechatronics, nonlinear and robust control, and applications fields from civil engineering to biological systems – to the essentials of FOC and imbues them with a basic understanding of FOC concepts and methods. With this knowledge readers can extend their use of FOC in other industrial system applications, thereby expanding their range of disciplines by exploiting this versatile new set of control techniques.

---

Fractional-order Systems and Controls details the use of fractional calculus (calculus of non-integer order) in the description and modeling of systems, and in a range of control design and practical applications. It is largely self-contained, covering the fundamentals of fractional calculus together with some analytical and numerical techniques and providing MATLAB® codes for the simulation of fractional-order control (FOC) systems (available by download from www.springer.com/ISBN). The use of fractional calculus can improve and generalize well-established control methods and strategies. Many different FOC schemes are presented for control and dynamic systems problems. These extend to the challenging control engineering design problems of robust and nonlinear control. Practical material relating to a wide variety of applications including, among others, mechatronics, civil engineering, irrigation and water management, and biological systems is also provided. All the control schemes and applications are presented in the monograph with either system simulation results or real experimental results, or both. Fractional-order Systems and Controls introduces its readers – academic and industrial control researchers interested in mechatronics, nonlinear and robust control, and applications fields from civil engineering to biological systems – to the essentials of FOC and imbues them with a basic understanding of FOC concepts and methods. With this knowledge readers can extend their use of FOC in other industrial system applications, thereby expanding their range of disciplines by exploiting this versatile new set of control techniques.
Content:
Front Matter....Pages i-xxvi
Front Matter....Pages 1-1
Introduction....Pages 3-8
Fundamentals of Fractional-order Systems....Pages 9-34
State-space Representation and Analysis....Pages 35-74
Fundamentals of Fractional-order Control....Pages 75-84
Front Matter....Pages 85-85
Fractional-order Proportional Integral Controller Tuning for First-order Plus Delay Time Plants....Pages 87-106
Fractional-order Proportional Derivative Controller Tuning for Motion Systems....Pages 107-120
Fractional-order Proportional Integral Derivative Controllers....Pages 121-130
Front Matter....Pages 131-131
Tuning of Fractional-order Lead-lag Compensators....Pages 133-140
Auto-tuning of Fractional-order Lead-lag Compensators....Pages 141-147
Front Matter....Pages 149-149
Other Robust Control Techniques....Pages 151-164
Some Nonlinear Fractional-order Control Strategies....Pages 165-188
Front Matter....Pages 189-189
Continuous-time and Discrete-time Implementations of Fractional-order Controllers....Pages 191-212
Numerical Issues and MATLAB Implementations for Fractional-order Control Systems....Pages 213-256
Front Matter....Pages 257-257
Systems Identification....Pages 259-271
Position Control of a Single-link Flexible Robot....Pages 273-300
Automatic Control of a Hydraulic Canal....Pages 301-352
Mechatronics....Pages 353-363
Fractional-order Control Strategies for Power Electronic Buck Converters....Pages 365-389
Back Matter....Pages 391-415

---

Fractional-order Systems and Controls details the use of fractional calculus (calculus of non-integer order) in the description and modeling of systems, and in a range of control design and practical applications. It is largely self-contained, covering the fundamentals of fractional calculus together with some analytical and numerical techniques and providing MATLAB® codes for the simulation of fractional-order control (FOC) systems (available by download from www.springer.com/ISBN). The use of fractional calculus can improve and generalize well-established control methods and strategies. Many different FOC schemes are presented for control and dynamic systems problems. These extend to the challenging control engineering design problems of robust and nonlinear control. Practical material relating to a wide variety of applications including, among others, mechatronics, civil engineering, irrigation and water management, and biological systems is also provided. All the control schemes and applications are presented in the monograph with either system simulation results or real experimental results, or both. Fractional-order Systems and Controls introduces its readers – academic and industrial control researchers interested in mechatronics, nonlinear and robust control, and applications fields from civil engineering to biological systems – to the essentials of FOC and imbues them with a basic understanding of FOC concepts and methods. With this knowledge readers can extend their use of FOC in other industrial system applications, thereby expanding their range of disciplines by exploiting this versatile new set of control techniques.
Content:
Front Matter....Pages i-xxvi
Front Matter....Pages 1-1
Introduction....Pages 3-8
Fundamentals of Fractional-order Systems....Pages 9-34
State-space Representation and Analysis....Pages 35-74
Fundamentals of Fractional-order Control....Pages 75-84
Front Matter....Pages 85-85
Fractional-order Proportional Integral Controller Tuning for First-order Plus Delay Time Plants....Pages 87-106
Fractional-order Proportional Derivative Controller Tuning for Motion Systems....Pages 107-120
Fractional-order Proportional Integral Derivative Controllers....Pages 121-130
Front Matter....Pages 131-131
Tuning of Fractional-order Lead-lag Compensators....Pages 133-140
Auto-tuning of Fractional-order Lead-lag Compensators....Pages 141-147
Front Matter....Pages 149-149
Other Robust Control Techniques....Pages 151-164
Some Nonlinear Fractional-order Control Strategies....Pages 165-188
Front Matter....Pages 189-189
Continuous-time and Discrete-time Implementations of Fractional-order Controllers....Pages 191-212
Numerical Issues and MATLAB Implementations for Fractional-order Control Systems....Pages 213-256
Front Matter....Pages 257-257
Systems Identification....Pages 259-271
Position Control of a Single-link Flexible Robot....Pages 273-300
Automatic Control of a Hydraulic Canal....Pages 301-352
Mechatronics....Pages 353-363
Fractional-order Control Strategies for Power Electronic Buck Converters....Pages 365-389
Back Matter....Pages 391-415
....