Stabilisation of unstable FOPDT processes with a single zero by fractional-order controllers

References

• Barbosa , RS , Tenreiro , JA , Machado , I and Ferreira , M . 2004 . Tuning of PID Controllers Based on Bode's Ideal Transfer Function . Nonlinear Dynamics , 38 : 305 – 321 .
   Web of Science ®Google Scholar
• Bequette , BW . 2003 . Process Control: Modeling, Design & Simulation , New Delhi : Prentice Hall of India Pvt. Ltd .
   Google Scholar
• Bettou , Kh and Charef , A . 2009 . Control Quality Enhancement Using Fractional PIλDμ Controller . International Journal of Systems Science , 40 : 875 – 888 .
   Web of Science ®Google Scholar
• Birbil , SI , Fang , SC and Sheu , RL . 2004 . On the Convergence of a Population-based Global Optimization Algorithm . Journal of Global Optimization , 30 : 301 – 318 .
   Web of Science ®Google Scholar
• Chang , PC , Chen , SH and Fan , CY . 2009 . A Hybrid Electromagnetism-like Algorithm in Single Machine Scheduling Problems with Learning Effect . Expert Systems with Applications , 36 : 1259 – 1267 .
   Web of Science ®Google Scholar
• Chao , H , Luo , Y , Di , L and Chen , YQ . 2010 . Roll-channel Fractional Order Controller Design for a Small Fixed-wing Unmanned Aerial Vehicle . Control Engineering Practice , 18 : 761 – 772 .
   Web of Science ®Google Scholar
• De Paor , AM and O’Malley , M . 1989 . Controllers of Ziegler-Nichols Type for Unstable Process with Time Delay . International Journal of Control , 49 : 1273 – 1284 .
   Web of Science ®Google Scholar
• Hwang , C and Hwang , JH . 2004 . Stabilization of First Order Plus Dead Time Unstable Process Using PID Controllers . IEE Proceedings Part D , 151 : 89 – 94 .
   Web of Science ®Google Scholar
• Hwang , HP and Chen , CC . 1997 . On Stabilizing a Time Delayed Unstable Process . Journal of the Chinese Institute of Chemical Engineers , 28 : 286 – 299 .
   Google Scholar
• Kailil , A , Mrani , N , Mliha Touati , M , Choukri , S and Elalami , N . 2004 . Low Earth-orbit Satellite Attitude Stabilization with Fractional Regulators . International Journal of Systems Science , 35 : 559 – 568 .
   Web of Science ®Google Scholar
• Ladaci , S , Loiseau , JJ and Charef , A . 2008 . Fractional Order Adaptive High-gain Controllers for a Class of Linear Systems . Communications in Nonlinear Science and Numerical Simulation , 13 : 707 – 714 .
   Web of Science ®Google Scholar
• Lee , CH and Chang , FK . 2010 . Fractional-order PID Controller Optimization via Improved Electromagnetism-like Algorithm . Expert Systems with Applications , 37 : 8871 – 8878 .
   Web of Science ®Google Scholar
• Lee , SC and Wang , QG . 2010 . Stabilization Conditions for a Class of Unstable Delay Processes of Higher Order . Journal of Taiwan Institute of Chemical Engineers , 41 : 440 – 445 .
   Web of Science ®Google Scholar
• Lee , SC , Wang , QG and Nquyen , LB . 2010b . Stabilizing Control for a Class of Delay Unstable Processes . ISA Transactions , 49 : 318 – 325 .
   PubMed Web of Science ®Google Scholar
• Lee , SC , Wang , QG and Xiang , C . 2010a . Stabilization of All-pole Unstable Processes by Simple Controllers . Journal of Process Control , 20 : 235 – 239 .
   Web of Science ®Google Scholar
• Luo , Y and Chen , YQ . 2009 . Fractional Order [Proportional Derivative] Controller for a Class of Fractional Order Systems . Automatica , 45 : 2446 – 2450 .
   Web of Science ®Google Scholar
• Luo , Y , Chen , YQ , Wang , CH and Pi , YG . 2010 . Tuning Fractional Order Proportional Integral Controllers for Fractional Order Systems . Journal of Process Control , 20 : 823 – 831 .
   Web of Science ®Google Scholar
• Marlin , TE . 1995 . Process Control: Designing Processes and Control Systems for Dynamic Performance , New York : McGraw-Hill .
   Google Scholar
• Melicio , R , Mendes , VMF and Catalao , JPS . 2010 . Fractional-order Control and Simulation of Wind Energy Systems with PMSG/full-power Converter Topology . Energy Conversion and Management , 51 : 1250 – 1258 .
   Web of Science ®Google Scholar
• Monje , CA , Chen , YQ , Vinagre , B , Xue , D and Feliu , V . 2010 . Fractional Order Systems and Controls – Fundamentals and Applications , Advanced Industrial Control Series, London : Springer-Verlag .
   Google Scholar
• Monje , CA , Vinagre , BM , Calderon , AJ , Feliu , V and Chen , YQ . 2004 . On Fractional PI Controllers: Some Tuning Rules for Robustness to Plant Uncertainties . Nonlinear Dynamics , 38 : 369 – 381 .
   Web of Science ®Google Scholar
• Monje , CA , Vinagre , BM , Feliu , V and Chen , YQ . 2008 . Tuning and Auto-Tuning of Fractional Order Controllers for Industry Applications . Control Engineering Practice , 16 : 798 – 812 .
   Web of Science ®Google Scholar
• Normey-Rico , JE and Camacho , EF . 2007 . Control of Dead-Time Processes , London : Springer-Verlag .
   Google Scholar
• Padma , SR , Srinivas , MN and Chidambaram , MA . 2004 . Simple Method of Tuning PID Controllers for Stable and Unstable FOPTD Systems . Computers and Chemical Engineering , 28 : 2201 – 2218 .
   Web of Science ®Google Scholar
• Padula , F and Visioli , A . 2011 . Tuning Rules for Optimal PID and Fractional-order PID Controllers . Journal of Process Control , 21 : 69 – 81 .
   Web of Science ®Google Scholar
• Pasgianos , GD , Syrcos , G , Arvanitis , KG and Sigrimis , NA . 2003 . Pseudo-derivative Feedback-based Identification of Unstable Processes with Application to Bioreactors . Computers and Electronics in Agriculture , 40 : 5 – 25 .
   Web of Science ®Google Scholar
• Podlubny , I . 1999a . Fractional-order Systems and PIλDμ Controllers . IEEE Transactions on Automatic Control , 44 : 208 – 214 .
   Web of Science ®Google Scholar
• Podlubny , I . 1999b . Fractional Differential Equations , San Diego , USA : Academic Press .
   Google Scholar
• Raynaud , HF and Zerganoh , A . 2000 . State-space Representation for Fractional Order Controllers . Automatica , 36 : 1017 – 1021 .
   Web of Science ®Google Scholar
• Rojas , R , Camacho , O and Gonzalez , L . 2004 . A Sliding Mode Control Proposal for Open-loop Unstable Processes . ISA Transactions , 43 : 243 – 255 .
   PubMed Web of Science ®Google Scholar
• Silva , GJ , Datta , A and Bhattacharyya , SP . 2005 . PID Controllers for Time Delay Systems , London : Springer-Verlag .
   Google Scholar
• Tan , W , Marquez , HJ and Chen , T . 2003 . IMC Design for Unstable Processes with Time Delays . Journal of Process Control , 13 : 203 – 213 .
   Web of Science ®Google Scholar
• Xiang , C , Wang , QG , Lu , X , Nguyen , LA and Lee , TC . 2007 . Stabilization of Second Order Unstable Delay Processes by Simple Controllers . Journal of Process Control , 17 : 675 – 682 .
   Web of Science ®Google Scholar
• Xue , D , Zhao , C and Chen , YQ . 2006 . ‘Fractional Order PID Control of a DC-motor with Elastic Shaft: A Case Study’, in Proceedings of American Control Conference , 3182 – 3187 . Minneapolis : Minnesota, USA .
   Google Scholar
• Zamani , M , Karimi-Ghartemani , M , Sadati , N and Parniani , M . 2009 . Design of a Fractional Order PID Controller for an AVR Using Particle Swarm Optimization . Control Engineering Practice , 17 : 1380 – 1387 .
   Web of Science ®Google Scholar