Unified approach to H-optimal control of singularly perturbed systems: Perfect state measurements

H. Singh, R. H. Brown, D. S. Naidu

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


There has been considerable interest in recent literature on the H-optimal control of singularly perturbed systems. Most of this work has been addressed in the continuous-time domain. The key contribution of the current paper is to present continuous and discrete singularly perturbed cases simultaneously from the game theoretic approach, thereby highlighting the similarities and differences. Furthermore, we construct a composite unified controller based on the solution of the slow and fast games, which guarantees a desired achievable performance level for the full-order plant, as the small parameter ε approaches zero. This paper also studies optimality when the controller includes a feedforward term in the disturbance. The unified results given here are valid for both the continuous-time case (sampling interval Δ = 0) and the discrete-time (sampling interval Δ≠0).

Original languageEnglish (US)
Pages (from-to)2214-2215
Number of pages2
JournalProceedings of the IEEE Conference on Decision and Control
StatePublished - Dec 1 1998

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