Abstract
A strictly positive real control problem for delta operator systems in a low frequency range is presented by using the generalized Kalman- Yakubovič-Popov lemma. The objective of the strictly positive real control problem is to design a controller such that the transfer function is strictly positive real and the resulting closed-loop system is stable. Sufficient conditions for the low frequency strictly positive real controller of the closed-loop delta operator systems are presented in terms of solutions to a set of linear matrix inequalities. A numerical example is given to illustrate the effectiveness and potential for the developed techniques.
Original language | English |
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Pages (from-to) | 1791-1795 |
Number of pages | 5 |
Journal | Automatica |
Volume | 48 |
Issue number | 8 |
DOIs | |
Publication status | Published - Aug 2012 |
Keywords
- Delta operator system
- Kalman-Yakubovič-Popov (KYP) lemma
- Linear matrix inequality (LMI)
- Low frequency range
- Positive real control