Sampling-Period Influence in Performance and Stability in Sampled-Data Control Systems

As already verified experimentally in foregoing works [1, 2] the dimensioning of the sampling period in sampleddata systems (analog plant and digital controller) aiming principally the stability is a very important task due the increasing of the lawsuit of this kind of systems. However, the theory to study this nature of systems is not complete today. In this work we search for to give the initial steps for design of discrete controllers for sampled-data systems considering an expression for the aliasing.

[1]  Gary B. Lamont,et al.  Digital control systems--theory, hardware, software , 1985 .

[2]  Michael G. Safonov,et al.  Stability and Robustness of Multivariable Feedback Systems , 1980 .

[3]  Paul Katz,et al.  Digital control using microprocessors , 1981 .

[4]  Marcelo Lopes de Oliveira e Souza,et al.  An Analytical Approach for Discrete Controllers Design Using a New S-Z Mapping with Two Tuning Parameters , 2002 .

[5]  F. R. Gantmakher The Theory of Matrices , 1984 .

[6]  Yutaka Yamamoto,et al.  New approach to sampled-data control systems-a function space method , 1990, 29th IEEE Conference on Decision and Control.

[7]  E. I. Jury,et al.  Theory and application of the z-transform method , 1965 .

[8]  Marcelo Lopes de Oliveira e Souza,et al.  The Presence of Bifurcation in a Closed-Loop Discrete Control of a Flexible Benchmark Plant analised from the Jury Stability Criterion , 2001 .

[9]  Mathukumalli Vidyasagar,et al.  Control System Synthesis , 1985 .

[10]  Gene F. Franklin,et al.  Digital control of dynamic systems , 1980 .

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

[12]  Shouchuan Hu Differential equations with discontinuous right-hand sides☆ , 1991 .

[13]  K. Mondal,et al.  Analog and digital filters: Design and realization , 1980, Proceedings of the IEEE.

[14]  Guthikonda V. Rao,et al.  Complex digital control systems , 1979 .

[15]  J. Tinsley Oden,et al.  Applied functional analysis : a first course for students of mechanics and engineering science , 1979 .