Title :
Design of digital control systems with two-time-scale motions
Abstract :
The problem of digital controller design is discussed. The design method is based on the formation of two-time scale motions in the closed loop system. It is shown that, if a sufficient time-scale separation between the fast and slow modes in the discussed closed loop system and stability of fast modes are provided, then slow modes have the desired form. Thus, the output transient performance indices are insensitive to external disturbances. Relationships for control accuracy analysis and choice of the sampling period are obtained. Finally, an example with simulation results is presented
Keywords :
Z transforms; closed loop systems; control system synthesis; difference equations; digital control; discrete systems; linear systems; robust control; state-space methods; step response; transfer functions; Z transform; closed loop system; continuous time transfer function; control accuracy analysis; control law; difference equation; digital control system design; fast modes; linear time-invariant dynamic system; mode stability; output transient performance indices; plant model; sampling period choice; simulation; slow modes; state-space model; step response; time-scale separation; two-time-scale motions; zero-order hold; Algorithm design and analysis; Closed loop systems; Control systems; Design methodology; Digital control; Optimal control; Polynomials; Sampling methods; Stability; System analysis and design;
Conference_Titel :
Electronic Instrument Engineering Proceedings, 2000. APEIE-2000. Volume 1. 2000 5th International Conference on Actual Problems of
Conference_Location :
Novosibirsk
Print_ISBN :
0-7803-5903-8
DOI :
10.1109/APEIE.2000.913107
