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Act-and-wait control concept for discrete-time systems with feedback delay

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2 Author(s)
Insperger, T. ; Dept. of Appl. Mech., Budapest Univ. of Technol. & Econ. ; Stepan, G.

Linear n-dimensional discrete-time systems are considered with feedback delay r at the m-dimensional input. These systems have n+mr poles. The act-and-wait control concept is introduced: the feedback is periodically switched on and off during the control with period k. It is switched on for one step (act) and switched off for (k-1) number of steps (wait). It is shown that if the act-and-wait period is larger than the time delay (i.e. k>r), then mr poles of the system are equal to zero, and the remaining poles can be placed arbitrarily if the system matrices satisfy certain controllability conditions

Published in:

Control Theory & Applications, IET  (Volume:1 ,  Issue: 3 )