A Locally Computed Suboptimal Control Strategy for a Class of Interconnected Systems
Abstract
In this paper, a locally computed suboptimal control strategy for a class of interconnected systems is introduced. First, optimal statefeedback control equations are derived for a finite-horizon quadratic cost. Then, the control for each subsystem is separated into two portions. The first portion stabilizes the isolated subsystem, and the second portion corresponds to the interactions. To achieve a locally calculable control, an approximation to the optimal control equations is introduced, and two iterative suboptimal control algorithms are developed. In the first algorithm, the initial conditions of subsystems are assumed to be known; in the second algorithm, this information is replaced by statistical distributions. The orders of errors in the iterations of the algorithm and in the suboptimality are given in terms of interconnections. An example with comparisons is also included to show the performance of the approach.
Recommended Citation
L. Acar and U. Ozguner, "A Locally Computed Suboptimal Control Strategy for a Class of Interconnected Systems," Journal of Optimization Theory and Applications, vol. 62, no. 2, pp. 189 - 210, Springer Verlag, Aug 1989.
The definitive version is available at https://doi.org/10.1007/BF00941053
Department(s)
Electrical and Computer Engineering
Keywords and Phrases
Decentralized Control; Interconnected Systems; Quadratic Cost Functions; Suboptimal Control
International Standard Serial Number (ISSN)
0022-3239; 1573-2878
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 1989 Springer Verlag, All rights reserved.
Publication Date
01 Aug 1989
