Indirect self-tuning control of a nonlinear non-minimum phase system

Stability analysis of indirect self-tuning control algorithm is relatively complex, since time-varying operation should be dealt with. In this paper, for a class of discrete time nonlinear non-minimum systems, by using multiple models and neural networks, an indirect self-tuning control method based on a one-step-ahead optimal weighting control scheme is proposed. In the self-tuning control method, two new identification algorithms are first presented. The properties of the identification algorithms are provided. The bounded-input-bounded-output (BIBO) stability of the closed-loop system is proved, and the performance is analyzed. To illustrate the effectiveness of the proposed method, simulations are conducted.

[1]  G. Goodwin,et al.  Global convergence for adaptive one-step-ahead optimal controllers based on input matching , 1981 .

[2]  G. Goodwin,et al.  Adaptive control of nonminimum phase systems , 1981 .

[3]  David Clarke,et al.  Self-tuning control , 1979 .

[4]  Chai Tianyou Direct adaptive control for a class of nonlinear non-minimum phase systems , 2006 .

[5]  Tianyou Chai,et al.  Nonlinear multivariable adaptive control using multiple models and neural networks , 2007, Autom..

[6]  Quanmin Zhu,et al.  Stable adaptive neurocontrol for nonlinear discrete-time systems , 2004, IEEE Trans. Neural Networks.

[7]  Kumpati S. Narendra,et al.  Nonlinear adaptive control using neural networks and multiple models , 2001, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[8]  Ulrich Anders,et al.  Model selection in neural networks , 1999, Neural Networks.

[9]  Hassan K. Khalil,et al.  Adaptive control of a class of nonlinear discrete-time systems using neural networks , 1995, IEEE Trans. Autom. Control..

[10]  T Chai A NEW INDIRECT ADAPTIVE FEEDFORWARD CONTROL ALGORITHM AND ITS APPLICATIONS , 1990 .

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

[12]  Quanmin Zhu,et al.  Neural network enhanced generalised minimum variance self-tuning controller for nonlinear discrete-time systems , 1999 .

[13]  Tianyou Chai,et al.  A self-tuning decoupling controller for a class of multivariable systems and global convergence analysis , 1988 .

[14]  S.S. Ge,et al.  Direct adaptive control for a class of MIMO nonlinear systems using neural networks , 2004, IEEE Transactions on Automatic Control.