Generic two-degree-of-freedom linear and fuzzy controllers for integral processes

Abstract This paper presents a new framework for the design of generic two-degree-of-freedom (2-DOF), linear and fuzzy, controllers dedicated to a class of integral processes specific to servo systems. The first part of the paper presents four 2-DOF linear PI controller structures that are designed using the Extended Symmetrical Optimum method to ensure the desired overshoot and settling time. The second part of the paper presents an original design method for 2-DOF Takagi–Sugeno PI-fuzzy controllers based on the stability analysis theorem. Experimental results for the speed control of a servo system with variable load illustrate the performance of the new generic control structures.

[1]  Stefan Preitl,et al.  Fuzzy Controllers With Maximum Sensitivity for Servosystems , 2007, IEEE Transactions on Industrial Electronics.

[2]  Rafael Bárcena,et al.  Adaptive control of printing devices using fractional-order hold circuits adjusted through neural networks , 2007, J. Frankl. Inst..

[3]  Jan Jantzen,et al.  Foundations of fuzzy control , 2007 .

[4]  Alessandro Astolfi,et al.  On the stabilization of feedforward systems with bounded control , 2005, Syst. Control. Lett..

[5]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

[6]  Kenzo Nonami,et al.  Optimal two-degree-of-freedom fuzzy control for locomotion control of a hydraulically actuated hexapod robot , 2007, Inf. Sci..

[7]  Yoichi Hori,et al.  Vibration Suppression Using Single Neuron-Based PI Fuzzy Controller and Fractional-Order Disturbance Observer , 2007, IEEE Transactions on Industrial Electronics.

[8]  Igor Skrjanc,et al.  Globally stable direct fuzzy model reference adaptive control , 2003, Fuzzy Sets Syst..

[9]  Ce Richard Liu,et al.  EP-based adaptive tracker with observer and fault estimator for nonlinear time-varying sampled-data systems against actuator failures , 2008, J. Frankl. Inst..

[10]  G.K.I. Mann,et al.  Three-dimensional min-max-gravity based fuzzy PID inference analysis and tuning , 2005, Fuzzy Sets Syst..

[11]  Rafal Goebel,et al.  Hybrid Feedback Control and Robust Stabilization of Nonlinear Systems , 2007, IEEE Transactions on Automatic Control.

[12]  Sylvie Galichet,et al.  MIN and MAX Operators for Fuzzy Intervals and Their Potential Use in Aggregation Operators , 2007, IEEE Transactions on Fuzzy Systems.

[13]  Mehmt Sunar,et al.  Substructural control of fuzzy nonlinear flexible structures , 2007, J. Frankl. Inst..

[14]  M. Senthil Arumugam,et al.  On the improved performances of the particle swarm optimization algorithms with adaptive parameters, cross-over operators and root mean square (RMS) variants for computing optimal control of a class of hybrid systems , 2008, Appl. Soft Comput..

[15]  Thomas G. Bifano,et al.  Simple models for piston-type micromirror behavior , 2006 .

[16]  Robert Babuska,et al.  Perspectives of fuzzy systems and control , 2005, Fuzzy Sets Syst..

[17]  Z.C. Johanyak,et al.  Sparse Fuzzy System Generation by Rule Base Extension , 2007, 2007 11th International Conference on Intelligent Engineering Systems.

[18]  László T. Kóczy,et al.  Fuzzy if... then rule models and their transformation into one another , 1996, IEEE Trans. Syst. Man Cybern. Part A.

[19]  Huijun Gao,et al.  ${\cal H}_{\infty}$ Estimation for Uncertain Systems With Limited Communication Capacity , 2007, IEEE Transactions on Automatic Control.

[20]  Kazuhiro Kosuge,et al.  Object Handling by Coordinated Multiple Mobile Manipulators Without Force/Torque Sensors , 2008, J. Robotics Mechatronics.

[21]  Qing-Long Han,et al.  Robust $H_{\infty}$ Control for Uncertain Takagi–Sugeno Fuzzy Systems With Interval Time-Varying Delay , 2007, IEEE Transactions on Fuzzy Systems.

[22]  D. Hladek,et al.  Hierarchical fuzzy inference system for robotic pursuit evasion task , 2008, 2008 6th International Symposium on Applied Machine Intelligence and Informatics.

[23]  Firdaus E. Udwadia,et al.  Active control of structures using time delayed positive feedback proportional control designs , 2006 .

[24]  Tore Hägglund,et al.  The future of PID control , 2000 .

[25]  Kazuo Tanaka,et al.  Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach , 2008 .

[26]  Michio Sugeno,et al.  On stability of fuzzy systems expressed by fuzzy rules with singleton consequents , 1999, IEEE Trans. Fuzzy Syst..

[27]  Karl Johan Åström,et al.  PID Controllers: Theory, Design, and Tuning , 1995 .

[28]  Stefan Preitl,et al.  An extension of tuning relations after symmetrical optimum method for PI and PID controllers , 1999, Autom..

[29]  Stefan Preitl,et al.  PI-Fuzzy controllers for integral plants to ensure robust stability , 2007, Inf. Sci..

[30]  Hao Ying,et al.  Theory and application of a novel fuzzy PID controller using a simplified Takagi-Sugeno rule scheme , 2000, Inf. Sci..

[31]  Roozbeh Dargahi,et al.  H∞-optimal digital redesign method , 2007, J. Frankl. Inst..

[32]  Antonio Visioli,et al.  Fuzzy logic based set-point weight tuning of PID controllers , 1999, IEEE Trans. Syst. Man Cybern. Part A.

[33]  Frank Klawonn,et al.  Fuzzy Control - Fundamentals, Stability and Design of Fuzzy Controllers , 2006, Studies in Fuzziness and Soft Computing.

[34]  Hak-Keung Lam,et al.  Stability analysis of discrete-time fuzzy-model-based control systems with time delay: Time delay-independent approach , 2008, Fuzzy Sets Syst..

[35]  Qing Zhao,et al.  LMI-based sensor fault diagnosis for nonlinear Lipschitz systems , 2007, Autom..

[36]  M. Araki,et al.  Two-Degree-of-Freedom PID Controllers , 2003 .

[37]  Chih-Chiang Cheng,et al.  Design of sliding surface for mismatched uncertain systems to achieve asymptotical stability , 2008, J. Frankl. Inst..

[38]  S. Preitl,et al.  Design and Experiments for a Class of Fuzzy Controlled Servo Systems , 2008, IEEE/ASME Transactions on Mechatronics.

[39]  Antonio Sala,et al.  Asymptotically necessary and sufficient conditions for stability and performance in fuzzy control: Applications of Polya's theorem , 2007, Fuzzy Sets Syst..

[40]  Sylvie Galichet,et al.  Fuzzy controllers: synthesis and equivalences , 1995, IEEE Trans. Fuzzy Syst..

[41]  Chang-Ming Liaw,et al.  Fuzzy two-degrees-of-freedom speed controller for motor drives , 1995, IEEE Trans. Ind. Electron..

[42]  Michio Sugeno,et al.  Fuzzy identification of systems and its applications to modeling and control , 1985, IEEE Transactions on Systems, Man, and Cybernetics.

[43]  Robert Babuska,et al.  Design of a gain-scheduling mechanism for flight control laws by fuzzy clustering , 2006 .

[44]  Dervis Karaboga,et al.  Evolutionary algorithm-based fuzzy PD control of spillway gates of dams , 2007, J. Frankl. Inst..

[45]  M. Chidambaram,et al.  Set-point weighted PID controllers for unstable systems , 2000, J. Frankl. Inst..

[46]  Arpita Sinha,et al.  Analytical Structures for Fuzzy PID Controllers? , 2008, IEEE Transactions on Fuzzy Systems.

[47]  Antonio Visioli.  A new design for a PID plus feedforward controller , 2004 .

[48]  Yau-Tarng Juang,et al.  Decoupled integral variable structure control for MIMO systems , 2007, J. Frankl. Inst..

[49]  N. Pariz,et al.  Position control of induction and DC servomotors: a novel adaptive fuzzy PI sliding mode control , 2006, 2006 IEEE Power Engineering Society General Meeting.