Near-optimal H control of linear singularly perturbed systems

Emilia Fridman*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We consider the singularly perturbed H control problem under perfect state measurements, for both finite and infinite horizons. We suggest a construction of high-order approximations to a controller that guarantees a desired performance level on the basis of the exact decomposition of the full-order Riccati equations to the reduced-order slow and fast equations. This leads to effective asymptotic and numerical algorithms. We show that the high-order accuracy controller improves the performance.

Original languageEnglish
Pages (from-to)236-240
Number of pages5
JournalIEEE Transactions on Automatic Control
Issue number2
StatePublished - 1996


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