Multi-layer switching control

In this paper, adaptive control of systems using switching techniques is investigated. It is assumed that the plant model belongs to a known finite set of models. It is also assumed that a set of controllers which solve the robust servomechanism problem for the family of plant models and a set of simultaneous stabilizers for certain subsets of plant models are given. It is shown that by using the above set of controllers and simultaneous stabilizers and choosing a proper switching sequence, one can minimize the number of switchings to destabilizing controllers. This can significantly improve the transient response of the system, which is one of the common weak points in most switching control schemes. Simulation results show the effectiveness of the proposed method in improving the transient response.

[1]  A. Morse Supervisory control of families of linear set-point controllers , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[2]  Kumpati S. Narendra,et al.  Intelligent control using fixed and adaptive models , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[3]  Edward J. Davison,et al.  Pseudo-decentralized switching control , 2003, Autom..

[4]  Kumpati S. Narendra,et al.  Improving transient response of adaptive control systems using multiple models and switching , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[5]  Edward J. Davison,et al.  Adaptive Control of a Family of Plants , 1990 .

[6]  M. Branicky Analyzing continuous switching systems: theory and examples , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[7]  Bengt Mårtensson,et al.  The order of any stabilizing regulator is sufficient a priori information for adaptive stabilization , 1985 .

[8]  M. Vidyasagar Control System Synthesis : A Factorization Approach , 1988 .

[9]  Bruce A. Francis,et al.  Feedback Control Theory , 1992 .

[10]  M. Chang,et al.  Control of unknown systems using switching controllers: the self-tuning robust servomechanism problem , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[11]  E. Davison,et al.  The self-tuning robust servomechanism problem , 1987, 26th IEEE Conference on Decision and Control.

[12]  Daniel E. Miller,et al.  An adaptive controller which provides an arbitrarily good transient and steady-state response , 1991 .