학술논문

A novel approach to linear decentralized robust performance stabilization of large-scale systems
Document Type
Conference
Source
2003 European Control Conference (ECC) European Control Conference (ECC), 2003. :370-375 Sep, 2003
Subject
Power, Energy and Industry Applications
Robotics and Control Systems
Signal Processing and Analysis
Transportation
Robustness
Manganese
Sufficient conditions
Lyapunov methods
Large-scale systems
Stability analysis
Uncertainty
Linear decentralized robust performance stabilization
Language
Abstract
The existing methods of decentralized control suffer from two major restrictions. First, almost all of them hinge on Lyapunov's method, and second, they do not address the problem of performance robustness. A novel methodology to overcome the above defects is presented in this paper. Central to this approach is the notion of a finite-spectrum-equivalent descriptor system in the input-output decentralized form. By way of this notion, a new formulation of the interaction which introduces some degrees of freedom into the design procedure is offered. The main result, i.e. a sufficient condition for decentralized performance stabilization in a desirable performance region and maximal robustness to unstructured uncertainties in the controller and plant parameters, nevertheless, is in terms of regular systems. Based on minimal sensitivity design of isolated subsystems via eigenstructure assignment, an analytic method for the satisfaction of the aforementioned sufficient condition is also presented.