Practical techniques for optimal dual-rate digital redesign

This paper proposes optimal dual-rate digital redesign methods that can be applied to continuous-time and fast-rate discrete-time control systems. Given a continuous-time control system, or a fast discrete-time control system, the paper presents techniques relying on the solution of a dual-rate H/sub 2/ discrete-time control problem to convert such systems to either a slow-rate or a dual-rate sampled-data control system while guaranteeing closed-loop stability and performance in the discrete-time H/sub 2/ sense. The proposed techniques result in sampled-data control systems having satisfactory performances over an extended range of sampling rates, when compared with other widely used methods of digital redesign. Furthermore, the proposed digital redesign techniques are useful in practice since they allow the designer to constrain the complexity of the digital controllers. Numerical examples demonstrate the performance of the proposed digital redesign techniques and provide a comparison with well-known approaches.

[1]  Tongwen Chen,et al.  A technique for optimal digital redesign of analog controllers , 1996, IEEE Trans. Control. Syst. Technol..

[2]  B. Francis,et al.  A lifting technique for linear periodic systems with applications to sampled-data control , 1991 .

[3]  B. Francis,et al.  Optimal Sampled-data Control , 1995 .

[4]  M. Safonov,et al.  A Schur method for balanced-truncation model reduction , 1989 .

[5]  Noriyuki Hori,et al.  A New Method with Guaranteed Stability for Discretization of Continuous-Time Control Systems , 1992, 1992 American Control Conference.

[6]  Atsuo Kawamura,et al.  Generalized digital redesign method for linear feedback system based on N-delay control , 1999 .

[7]  Karl Johan Åström,et al.  Computer-Controlled Systems: Theory and Design , 1984 .

[8]  K. Poolla,et al.  Robust control of linear time-invariant plants using periodic compensation , 1985 .

[9]  L. Armesto,et al.  Dual-rate high order holds based on primitive functions , 2003, Proceedings of the 2003 American Control Conference, 2003..

[10]  J. P. Keller,et al.  A new approach to the discretization of continuous-time controllers , 1990, 1990 American Control Conference.

[11]  Leang S. Shieh,et al.  Hybrid state-space self-tuning control using dual-rate sampling , 1991 .

[12]  Bruce A. Francis,et al.  Optimal Sampled-Data Control Systems , 1996, Communications and Control Engineering Series.

[13]  Camille Alain Rabbath,et al.  Convergence of sampled-data models in digital redesign , 2004, IEEE Transactions on Automatic Control.

[14]  B.D.O. Anderson,et al.  Controller design: moving from theory to practice , 1993, IEEE Control Systems.