Some qualitative properties of sampled-data control systems

We consider sampled-data control systems which consist of an interconnection of a continuous-time nonlinear plant, a digital controller which has quantizers (but is otherwise linear), along with the required interface elements (A/D and D/A converters). We study the qualitative effects of the quantizers and the plant nonlinearities of these systems.

[1]  J. Bertram The effect of quantization in sampled-feedback systems , 1958, Transactions of the American Institute of Electrical Engineers, Part II: Applications and Industry.

[2]  P. Hartman Ordinary Differential Equations , 1965 .

[3]  J. Slaughter Quantization errors in digital control systems , 1964 .

[4]  B. Francis,et al.  Stability Theory for Linear Time-Invariant Plants with Periodic Digital Controllers , 1988, 1988 American Control Conference.

[5]  Tomomichi Hagiwara,et al.  Design of a stable state feedback controller based on the multirate sampling of the plant output , 1988 .

[6]  B. Francis,et al.  Stability Theory for Linear Time-Invariant Plants with Periodic Digital Controllers , 1988 .

[7]  A. Michel,et al.  Quantization and overflow effects in digital implementations of linear dynamic controllers , 1988 .

[8]  J. A. Farrell,et al.  Quantizer effects on steady-state error specifications of digital feedback control systems , 1988, Proceedings of the 27th IEEE Conference on Decision and Control.

[9]  J. Farrell,et al.  Estimates of asymptotic trajectory bounds in digital implementations of linear feedback control systems , 1989 .

[10]  J. Farrell,et al.  Quantizer effects on steady-state error specifications of digital feedback control systems , 1989 .

[11]  B. Francis,et al.  Input-output stability of sampled-data systems , 1991 .

[12]  Pablo A. Iglesias,et al.  On the stability of sampled-data linear time-varying feedback systems , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.