## Abstract In this paper, the linear quadratic optimal stochastic control problem is investigated for multiparameter singularly perturbed stochastic systems in which __N__ lowerβlevel fast subsystems are interconnected by a higherβlevel slow subsystem. After establishing the asymptotic structure o
Near optimal smoothing for singularly perturbed linear systems
β Scribed by D. Altshuler; A.H. Haddad
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 541 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0005-1098
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β¦ Synopsis
A two time-scale lower order design is proposed as a near optimal solution to the fixed-interval smoothing problem for systems with slow and fast modes. The slow mode smoothing solution, in the limit as the perturbation parameter/1-,0, tends to that of the reduced-order problem; and the near optimal fast mode smoother is simply a weighted sum of lower order two time-scale filters. While the near optimal solution affords a significant reduction in computational complexity, the performance degradation, as illustrated in an example, is typically negligible.
π SIMILAR VOLUMES
This paper is concerned with a linear closed-loop Stackelberg strategy for singularly perturbed systems. A procedure to obtain a well-posed formulation of the problem, where both fast and slow modes are available for measurements, is given.
This paper considers the stochastic control of linearquadratic problems for singularly perturbed systems when the input noise is colored. A near optimal linear output feedback control is obtained by optimizing a slow subsystem only.