Abstract
Dead-beat control is the one that can drive the output to the reference input in finite steps. But, it has two defects: 1) transient responses of the system, that is, the output response before the settling time and the control input response are not considered, 2) the system is not robust.
In this paper, we propose a design procedure for dead-beat control systems compensating these defects, based on two-degrees-of-freedom compensation scheme. We aim to design the control system satisfying the following two specifications.
a) For reference input of step function, the output is settled in finite steps, then the output error before the settling time and the control input are controlled moderately.
b) For disturbance of step function, the output is settled to zero in finite steps, then the output error before the settling time and the control input are controlled moderately.
Due to a), transient responses of the system are considered, and due to b), robustness of the system is improved.
The problem to design the control system specified above is reduced to linear optimization problems with respect to the parameters presented at the cost of increasing the settling time, and the solutions can be obtained with ease.
