Refined design method for sampled-data control systems: the pseudo- continuous-time (PCT) control system design. (English) Zbl 0554.93049
A refined design method, based upon known principles, is presented for the design of sampled-data SISO control systems. Based upon the Fourier analysis of a sampled signal and the Padé approximation, a sampled-data system may be approximated by a pseudo-continuous-time (PCT) control system. This approximation of a sampled-data system permits the use of continuous-time domain methods for designing cascade and/or feedback controllers based upon step-response specifications. When the rules governing the use of the Padé approximation and the Tustin transformation are satisfied, the PCT approach is a valuable technique for the design of sampled-data control systems, especially when the sampling time T is much smaller than 1 s. A design technique based upon the use of the PCT system is presented along with examples. The associated controller implementation problems are discussed.
MSC:
93C57 | Sampled-data control/observation systems |
41A21 | Padé approximation |
93B50 | Synthesis problems |
93C99 | Model systems in control theory |