๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Control of Dynamic Systems under the Influence of Singularly Perturbed Markov Chains

โœ Scribed by G Yin; Q Zhang

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
320 KB
Volume
216
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

โœฆ Synopsis

This work is concerned with nearly optimal controls of nonlinear dynamic systems under the influence of singularly perturbed Markov chains. The underlying Markov chains have fast and slow components and their states can be divided into a number of groups. Within each group of states, the chain varies in a fast pace whereas the jumps from one group to another occur relative infrequently. To obtain the desired optimality, the states of the chain are naturally aggregated in accordance with the transition rates; i.e., replacing the states in a group by a single state to obtain an average system. Then the averaged system is used as a reference to develop the nearly optimal control for the actual system via comparison control methods. The technique used is the method of weak convergence together with the utilization of relaxed control representation.

๐Ÿ“œ SIMILAR VOLUMES

The Guaranteed Cost Control Problem of U
The Guaranteed Cost Control Problem of Uncertain Singularly Perturbed Systems
โœ Hiroaki Mukaidani; Koichi Mizukami ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 148 KB

In this paper we study the algebraic Riccati equation corresponding to the guaranteed cost control theory for an uncertain singularly perturbed system. The construction of the controller involves solving the full-order algebraic Riccati equation with small parameter ฮต. Under control-oriented assumpt

Fast suboptimal solution to the static o
Fast suboptimal solution to the static output control problem of linear singularly perturbed systems
โœ Dj. Petkovski; N. Harkara; Z. Gajic ๐Ÿ“‚ Article ๐Ÿ“… 1991 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 314 KB

Airliner--The reduced-order suboptimal solution to the static output control problem of linear singularly perturbed system is obtained in terms of the fast variables only, assuming the special structure of initial conditions for the slow and fast variables. The problem of big initial conditions of t