Comparative Study of Controllers for a Variable Area MIMO Interacting NonLinear System

Most of the industrial processes are basically Multi Input Multi Output (MIMO) system. In this paper a new combination of Spherical Conical Interacting Tank System (SCITS) which is a variable area nonlinear MIMO system is considered for study and various control algorithms based on Ziegler Nichol’s tuning method, Hagglund Astrom Robust tuning method, Fractional Order (FO) control and Passivity Based Control (PBC) are used and compared for the level control of spherical tank system and conical tank system connected with interaction. Transfer function matrix of the system is obtained experimentally from the open loop response of the system. The designed controllers are tested for servo and regulatory operations. The controllers are compared in terms of time domain specification and performance index criterion. From the analysis of the simulation results, it is seen that FO controller gives improved performance when compared to conventional Integer Order (IO) controller and overall Passivity Based Controller (PBCr) gives improved performance comparatively for spherical conical interacting MIMO system. lakshmi_p_2000@yahoo.com Keyword-Spherical-Conical interacting system, MIMO system, Fractional Order Control, Passivity Based Control, PI controller

[1]  P. Lakshmi,et al.  Fractional order controller design and Particle Swarm Optimization applied to a nonlinear system , 2011, 2011 International Conference on Recent Trends in Information Technology (ICRTIT).

[2]  P. S. Bauer.  Dissipative Dynamical Systems: I. , 1931, Proceedings of the National Academy of Sciences of the United States of America.

[3]  M. Čech,et al.  The fractional-order PID controller outperforms the classical one , 2006 .

[4]  Osear Camacho,et al.  Passivity-based controller for chemical processes , 2002 .

[5]  T. Thyagarajan,et al.  A decentralized PID controller for interacting non linear systems , 2011, 2011 International Conference on Emerging Trends in Electrical and Computer Technology.

[6]  Ivo Petras,et al.  Control quality enhancement by fractional order controllers , 1998 .

[7]  Dingyu Xue,et al.  PRACTICAL TUNING OF FRACTIONAL ORDER PROPORTIONAL AND INTEGRAL CONTROLLER (I): TUNING RULE DEVELOPMENT , 2007 .

[8]  K. Saravanan,et al.  Design of Fractional Order PID controller for liquid level control of spherical tank , 2011, 2011 IEEE International Conference on Control System, Computing and Engineering.

[9]  José António Tenreiro Machado,et al.  Fractional-order hybrid control of robot manipulators , 1998, SMC'98 Conference Proceedings. 1998 IEEE International Conference on Systems, Man, and Cybernetics (Cat. No.98CH36218).

[10]  J. G. Ziegler,et al.  Optimum Settings for Automatic Controllers , 1942, Journal of Fluids Engineering.

[12]  H. Sira-Ramírez.  A general canonical form for feedback passivity of nonlinear systems , 1998 .

[13]  Y. Hori,et al.  Backlash vibration suppression in torsional system based on the fractional order Q-filter of disturbance observer , 2004, The 8th IEEE International Workshop on Advanced Motion Control, 2004. AMC '04..

[14]  P. Lakshmi,et al.  Particle swarm optimisation applied to real time control of spherical tank system , 2012, Int. J. Bio Inspired Comput..

[15]  Hebertt Sira-Ramírez,et al.  Passivity-based control of nonlinear chemical processes , 1997 .

[16]  Finn Haugen.  Comparing PI Tuning Methods in a Real Benchmark Temperature Control System , 2010 .

[17]  Romeo Ortega,et al.  Simultaneous Interconnection and Damping Assignment Passivity-Based Control: Two Practical Examples , 2007 .

[18]  K. Åström,et al.  Revisiting The Ziegler‐Nichols Tuning Rules For Pi Control , 2002 .

[19]  Yangquan Chen,et al.  Experimental study of fractional order proportional integral (FOPI) controller for water level control , 2008, 2008 47th IEEE Conference on Decision and Control.

[20]  G. Sakthivel,et al.  Modelling and Real Time Implementation of Digital Pi Controller for a Non Linear Process , 2016 .

[21]  T. K. Radhakrishnan,et al.  Particle Swarm Optimization Technique Based Design of Pi Controller for a Real-Time Non-Linear Process , 2008 .

[22]  S. M. Girirajkumar,et al.  Genetic Algorithms for Level Control in a Real Time Process , 2008 .

[23]  A. Kailil,et al.  Low Earth-orbit satellite attitude stabilization with fractional regulators , 2004, Int. J. Syst. Sci..