Stability and control of singularly perturbed systems. Second annual report

Technical Report · Wed Sep 01 00:00:00 EDT 1982

OSTI ID:6459247

Khalil, H; El-Ansary, M; Gajic, Z; Litkouhi, B; Saberi, A

This report surveys the results obtained during the second year of the three-year project entitled, Multimodel Strategies for Stochastic Models, and supported by the US Department of Energy, Electric Energy Systems Division. The report is divided into four parts. Part One presents a new method for studying stability of singularly perturbed systems using quadratic-type Lyapunov functions. The method is less conservative than the previous methods reported in the literature. Several examples are included to demonstrate that. Part Two is a continuation of our effort to study sampled-data control of singularly perturbed systems (see Part Three of the first annual report). Here we study singularly perturbed difference equations resulting from discretizing continious-time singularly perturbed systems. Part Three presents an important development in linear-quadratic Gaussian estimation and control of singularly perturbed systems. Near-optimum estimators and regulators are obtained using a special transformation to decouple slow and fast dynamics. Part Four considers a class of nonlinear singularly perturbed systems driven by wide-band noise and derives a reduced-order diffusion model that represents the behavior of the slow variables.

• Research Organization: Michigan State Univ., East Lansing (USA). Dept. of Electrical Engineering and Systems Science
• DOE Contract Number: AC01-80RA50425
• OSTI ID: 6459247
• Report Number(s): DOE/RA/50425-T1; ON: DE85002369
• Resource Relation: Other Information: Portions are illegible in microfiche products
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
STOCHASTIC PROCESSES
MATHEMATICAL MODELS
STABILITY
CONTROL
GAUSSIAN PROCESSES
LEADING ABSTRACT
LYAPUNOV METHOD
PERTURBATION THEORY
US DOE
ABSTRACTS
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US ORGANIZATIONS
420400* - Engineering- Heat Transfer & Fluid Flow
990200 - Mathematics & Computers