An Improved Gramian-based Interaction Measure for Time-Delay Systems

• In this paper, a modified Gramian based control configuration selection (CCS) method for linear multi-input multi-output (MIMO) plants with time delays in input-output channels is proposed. In contrast to the typical approach of approximating the delayed system, the time delay is directly integrated in the method by using the finite-time H2 norm for the time- delay system (TDS). The methodology is based on an explicit formula for computing the finite-time H2 norm for stable SISO systems. Gramian-based CCS methods are either insensitive to time delays or favor channels with large delays, while the proposed method suggests configuration which are more reasonable. A numerical examples is used to discuss and benchmark the method. It is concluded that the proposed methods provides adequate configuration suggestions and circumvents a well-known shortcoming.

Subject headings

TEKNIK OCH TEKNOLOGIER  -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)

ENGINEERING AND TECHNOLOGY  -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)

Keyword

Gramians

time delays

control configuration selection

Automatic Control

Reglerteknik

Publication and Content Type

ref (subject category)

kon (subject category)