《Advances in Modelling and Control of Non-integer-Order Systems: 6th Confer...
《Advances in Modelling and Control of Non-integer-Order Systems: 6th Conference on Non-integer Order Calculus and Its Applications, 2014 Opole, Poland》在和非整数阶系统控制模拟研究进展：第六届非整数阶微积分及其应用，2014，Opole, 波兰
编者：
Krzysztof J. Latawiec
Marian Łukaniszyn
Rafał Stanisławski
出版社：Springer
出版时间：2015年
目录
Part I: Invited Paper
Perfect Observers of Fractional Descriptor Continuous-Time Linear
System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
Tadeusz Kaczorek
Part II: Mathematical Fundamentals
Viable Solutions to Fractional Difference and Differential Equations . . . . . . 15
Ewa Girejko, Dorota Mozyrska, Małgorzata Wyrwas
Regular Sturm-Liouville Problem with Riemann-Liouville Derivatives of
Order in (1,2): Discrete Spectrum, Solutions and Applications . . . . . . . . . . . . 25
Malgorzata Klimek, Marek Blasik
Noether’s Second Theorem for Variable Order Fractional Variational
Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37
Agnieszka B. Malinowska, Tatiana Odzijewicz
Fractional Linear Equations with Discrete Operators of Positive Order . . . . 47
Dorota Mozyrska, Małgorzata Wyrwas
The Fractional-Order Backward-Difference of a Product of Two
Discrete-Variable Functions (Discrete Fractional Leibnitz Rule) . . . . . . . . . . 59
Piotr Ostalczyk
XII Contents
Part III: Approximation, Modeling and Simulations
Matrix Approach and Analog Modeling for Solving Fractional Variable
Order Differential Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
Wiktor Malesza, Michal Macias, Dominik Sierociuk
Bi-Fractional Filters, Part 1: Left Half-Plane Case . . . . . . . . . . . . . . . . . . . . . . 81
Paweł Pia˛tek, Jerzy Baranowski, Marta Zagórowska, Waldemar Bauer,
Tomasz Dziwi´nski
A Comparative Analysis of Selected Integer-Order and Noninteger-Order
Linear Models of Complex Dynamical Systems. . . . . . . . . . . . . . . . . . . . . . . . . 91
Marek Rydel, Rafał Stanisławski, Włodzimierz Stanisławski,
Krzysztof J. Latawiec
Modeling and Identification of Fractional-Order Discrete-Time
Laguerre-Based Feedback-Nonlinear Systems . . . . . . . . . . . . . . . . . . . . . . . . . 101
Rafał Stanisławski, Krzysztof J. Latawiec, Marcin Gałek,
Marian Łukaniszyn
Impulse Response Approximation Method for “Fractional Order Lag” . . . . 113
Marta Zagórowska, Jerzy Baranowski, Piotr Bania, Paweł Pia˛tek, Waldemar
Bauer, Tomasz Dziwi´nski
Part IV: Controllability and Control
Comparison of Performance Indices for Tuning of PIλDμ Controller for
Magnetic Levitation System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 125
Waldemar Bauer, Tomasz Dziwin´ski, Jerzy Baranowski, Paweł Pia˛tek,
Marta Zagórowska
Fractional-Order Model Predictive Control with Small Set
of Coincidence Points . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 135
Stefan Domek
Tuning of the Half-Order Robust PID Controller Dedicated to Oriented
PV System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 145
Wojciech Mitkowski, Krzysztof Oprzedkiewicz
Order Functions Selection in the Variable-, Fractional-Order PID
Controller . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 159
Piotr Ostalczyk, Piotr Duch, Dariusz W. Brzezi´nski,
Dominik Sankowski
Contents XIII
Minimum Energy Control of Fractional Positive Continuous-Time Linear
Systems with Two Different Fractional Orders and Bounded Inputs . . . . . . . 171
Łukasz Sajewski
Relative Controllability of Differential-Algebraic Systems with Delay
within Riemann-Liouville Fractional Derivatives . . . . . . . . . . . . . . . . . . . . . . . 183
Zbigniew Zaczkiewicz
Part V: Stability Analysis
Robust Stability Check of Fractional Discrete-Time Linear Systems with
Interval Uncertainties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 199
Mikołaj Busłowicz, Andrzej Ruszewski
On Mittag–Leffler Stability of Fractional Order Difference Systems . . . . . . . 209
Małgorzata Wyrwas, Dorota Mozyrska
Lyapunov Direct Method for Non-integer Order Systems . . . . . . . . . . . . . . . . 221
Marta Zagórowska, Jerzy Baranowski, Waldemar Bauer,
Tomasz Dziwin´ski, Paweł Pia˛tek, Wojciech Mitkowski
Part VI: Applications
Non-integer Order Filtration of Electromyographic Signals . . . . . . . . . . . . . . 231
Jerzy Baranowski, Paweł Pia˛tek, Aleksandra Kawala-Janik,
Marta Zagórowska, Waldemar Bauer, Tomasz Dziwi´nski
Reconstruction of the Thermal Conductivity Coefficient in the Time
Fractional Diffusion Equation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 239
Rafał Brociek, Damian Słota, Roman Wituła
Robust Non-integer Order Controller for Air Heating Process Trainer . . . . . 249
Tomasz Dziwin´ski, Waldemar Bauer, Jerzy Baranowski, Paweł Pia˛tek,
Marta Zagórowska
Model–Based Fault Diagnosis with FractionalModels . . . . . . . . . . . . . . . . . . . 257
Ryszard Kopka
Modeling of Elementary Fractional Order Plants at PLC SIEMENS
Platform . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 265
Krzysztof Oprzedkiewicz, Marek Chochol, Waldemar Bauer,
Tomasz Meresinski
XIV Contents
Space-Time-Fractional Advection Diffusion Equation in a Plane . . . . . . . . . . 275
Yuriy Povstenko
Variable Order Fractional Kalman Filters for Estimation over Lossy
Network . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 285
Dominik Sierociuk, Pawel Ziubinski
Author Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 295
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