Nonlinear Multivariable Decoupling PID Control Using Neural Networks

A nonlinear multivariable decoupling PID controller is derived from generalized minimum variance control law, which consists of a PID controller with decoupling design and a feedforward compensator for the unmodeled dynamics. Then a nonlinear multivariable decoupling PID control algorithm using neural networks is proposed. By using neural networks online estimating and compensating the unmodeled dynamics, the proposed algorithm has the adaptive capability to the variations of both parameters and structure of the process. Under some assumptions, it is proved that all the signals in the closed-loop system are globally bounded and the tracking error can be made less than any specified constant over a compact set by properly choosing the structures parameters of neural networks. Simulation results show the effectiveness and robustness of the proposed algorithm

[1]  Dale E. Seborg,et al.  A SELF-TUNING CONTROLLER WITH A PID STRUCTURE , 1984 .

[2]  Duncan A. Mellichamp,et al.  A decoupling pole placement self‐tuning controller for a class of multivariable processes , 1986 .

[3]  Rubiyah Yusof,et al.  A multivariable self-tuning PID controller , 1993 .

[4]  Ken-ichi Funahashi,et al.  On the approximate realization of continuous mappings by neural networks , 1989, Neural Networks.

[5]  Tianyou Chai,et al.  A new decoupling design of self‐tuning multivariable generalized predictive control , 1999 .

[6]  H. Rosenbrock.  Design of multivariable control systems using the inverse Nyquist array , 1969 .

[7]  P. Atkinson,et al.  Process Control Systems , 1968 .

[8]  P. Falb,et al.  Decoupling in the design and synthesis of multivariable control systems , 1967, IEEE Transactions on Automatic Control.

[9]  R. J. Kavanagh,et al.  Noninteracting controls in linear multivariable systems , 1957, Transactions of the American Institute of Electrical Engineers, Part II: Applications and Industry.

[10]  Peter J. Gawthrop,et al.  Neural networks for control systems - A survey , 1992, Autom..

[11]  Marzuki Khalid,et al.  Self-tuning PID control: A multivariable derivation and application , 1993, Autom..

[12]  Graham Goodwin,et al.  Discrete time multivariable adaptive control , 1979, 1979 18th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[13]  Tianyou Chai,et al.  INTELLIGENT DECOUPLING CONTROL SYSTEM OF COMPLEX INDUSTRIAL PROCESS AND APPLICATION , 2005 .

[14]  Tianyou Chai,et al.  Decoupling of a class of nonlinear discrete time systems using neural networks , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[15]  Tianyou Chai,et al.  Self-tuning feedforward PID controller , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[16]  Lang Shi Jun,et al.  A Multivariable Generalized Self-Tuning Controller with Decoupling Design , 1985 .