Abstract
In this note, we study the extension of the class of linear time invariant plants that may be transformed into SPR systems introducing an observer. It is shown that for open loop stable systems a cascaded observer achieves the result. For open loop unstable systems an observer-based feedback is required to succeed. In general any stabilizable and observable system may be transformed into an SPR system defining a new output based on the observer state. This overcomes the old conditions of minimum phase and relative degree one for the case of keeping the original output. The result is illustrated with some examples.
Original language | English |
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Pages (from-to) | 1082-1088 |
Journal | IEEE Transactions on Automatic Control |
Volume | 52 |
Issue number | 6 |
DOIs | |
Publication status | Published - 2007 |
Subject classification (UKÄ)
- Control Engineering
Free keywords
- strictly positive realness (SPR)
- passivity
- observers
- Kalman-Yakubovich-Popov (KYP) lemma
- Lyapunov functions
- strictly positive realness
- (SPR) systems