Nice Cross-gramian, the Generalized Symmetry and Determination of Controller Structure for Multivariable Switched Systems, By Rahman Dashti

Research

Title	Nice Cross-gramian, the Generalized Symmetry and Determination of Controller Structure for Multivariable Switched Systems
Type	Presentation
Keywords	Cross-gramian, switched sysetm, control configuration selection, process control
Researchers	maryam o sadat tahavori (First researcher) , hamid reza shaker (Second researcher) , Rahman Dashti (Third researcher)

Abstract

In this paper, the determination of a control structure for discrete-time MIMO switched systems is addressed. In the first step, for discrete-time switched systems, the concept of nice cross-gramians is proposed and the existence of the proposed nice cross-gramian is investigated. It has been demonstrated that the nice cross-gramian can be achieved as a solution to a specific algebraic matrix equation, if it exists. While the proposed crossgramian can be used in a lot of applications including model reduction, in this paper, it has been used to form the Nice Hankel Interaction Index Array (NHIIA) for control structure selection. The proposed control structure determination strategy is one of the few that supports switched processes and plants, takes advantage of gramian-based techniques, and is computationally more effective than its only counterpart.