Robust Controller Design for Large-Scale Uncertain Dynamical Systems

Abstract

The growing dimensions and complexity ofnowadays technological development and societal processes are one ofthe foremost challenges to system theory. Determining a solutionfor the problems arising in large• scale systems (L.S.S.) may become either very uneconomical or even impossible using the classical mathematical tools developedfor system analysis and control. Due to environmental conditions, aging. .....etc., the closed loop stability requirements ofmany L.S.S. can not satisfied when facing large variations as well as perturbations in various system parameters. Although a lot of work had appeared in this field, almost all ofthem represent variations in certain domain or subsets, which may not be satisfied in life applications and under natural variations. Furthermore, the issue of global stability of large-scale systems has been previously investigated considering only static interconnections between subsystems. The issue ofdynamic interconnections were no/ usually addressed. Also there is no accepted methodology for the determination of expected performance which account for changes in performance characteristics, due to reconfiguration of system functions. in the presence ofdynamic interconnections. Recently new definition was introduced, this is stability robustness. Difef rent view points, different definition also different procedures in modeling, analysis, and control had been introduced, to satisfy the global system stability.