A Locally Computed Suboptimal Control Strategy for a Class of Interconnected Systems


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.


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


File Type





© 1989 Springer Verlag, All rights reserved.

Publication Date

01 Aug 1989