Abstract
We generalize our previous work on the soft-constrained time-optimal control (SCTO) of a specific marginally stable linear system arising in the simultaneous slewing and vibration suppression of a flexible beam. Here, we consider the SCTO control of a general strictly stable linear systems whose dominant pole has a distinct real part. We present a detailed analytical study of the asymptotic saturation properties of the control amplitude and duration. These properties are qualitatively different from those of a marginally stable linear system, and can be deduced analytically from the eigenstructure of the plant. The analysis shows that under some (reasonable) hypotheses that the control amplitude is bounded by an inequality constraint. Since the validity of the hypotheses cannot be rigorously shown, we resort to a statistical analysis which shows that these hypotheses are statistically valid. Our numerical and statistical results agree well with our theoretical predictions.
| Original language | English |
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| Title of host publication | Control Applications, 1992., First IEEE Conference on |
| Pages | 966–971 |
| State | Published - 1992 |