A Conformal Mapping Based Fractional Order Approach for Sub-optimal Tuning of PID Controllers with Guaranteed Dominant Pole Placement

[1]  S. Das Functional Fractional Calculus , 2011 .

[2]  Luigi Fortuna,et al.  New results on the synthesis of FO-PID controllers , 2010 .

[3]  Yangquan Chen,et al.  Computers and Mathematics with Applications an Approximate Method for Numerically Solving Fractional Order Optimal Control Problems of General Form Optimal Control Time-optimal Control Fractional Calculus Fractional Order Optimal Control Fractional Dynamic Systems Riots_95 Optimal Control Toolbox , 2022 .

[4]  Masoud Karimi-Ghartemani,et al.  Method for designing PI λ D μ stabilisers for minimum-phase fractional-order systems , 2010 .

[5]  Abdelfatah Charef,et al.  Control quality enhancement using fractional PIλDμ controller , 2009, Int. J. Syst. Sci..

[6]  G. M. Malwatkar,et al.  Tuning PID controllers for higher-order oscillatory systems with improved performance. , 2009, ISA transactions.

[7]  F. Merrikh‐Bayat,et al.  Extension of the root-locus method to a certain class of fractional-order systems. , 2009, ISA transactions.

[8]  Karl Johan Åström,et al.  Guaranteed dominant pole placement with PID controllers , 2009 .

[9]  Yan Li,et al.  Fractional Order Linear Quadratic Regulator , 2008, 2008 IEEE/ASME International Conference on Mechtronic and Embedded Systems and Applications.

[10]  Keri L. Ryan,et al.  Fractional Order Filter Enhanced LQR for Seismic Protection of Civil Structures , 2008 .

[11]  O. Agrawal A Quadratic Numerical Scheme for Fractional Optimal Control Problems , 2008 .

[12]  O. Agrawal A General Formulation and Solution Scheme for Fractional Optimal Control Problems , 2004 .

[13]  Cheng-Ching Yu,et al.  PID tuning rules for SOPDT systems: review and some new results. , 2004, ISA transactions.

[14]  Guo-Ping Cai,et al.  An optimal control method for linear systems with time delay , 2003 .

[15]  T. Hartley,et al.  Dynamics and Control of Initialized Fractional-Order Systems , 2002 .

[16]  K. Åström,et al.  Dominant pole placement for multi-loop control systems , 2002, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[17]  Igor Podlubny,et al.  Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers , 1999 .

[18]  I. Podlubny Fractional-order systems and PIλDμ-controllers , 1999, IEEE Trans. Autom. Control..

[19]  Qing-Guo Wang,et al.  PI/PID controller tuning via LQR approach , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[20]  B. Anderson,et al.  Optimal control: linear quadratic methods , 1990 .

[21]  Mehrdad Saif Optimal linear regulator pole-placement by weight selection , 1989 .

[22]  T. Fujii,et al.  A new approach to the LQ design from the viewpoint of the inverse regulator problem , 1987 .

[23]  Takao Fujii,et al.  A complete solution to the inverse problem of optimal control , 1982, 1982 21st IEEE Conference on Decision and Control.

[24]  B. Anderson,et al.  Nonlinear regulator theory and an inverse optimal control problem , 1973 .

[25]  日本自動制御協会,et al.  システムと制御 = Systems and control , 1971 .