@inproceedings{f5203892e6064b359ca0c89222e8b30a,

title = "The regulator equations for regular linear systems",

abstract = "We investigate the state feedback regulator problem for exponentially stable plants belonging to the class of regular linear systems. The plant is driven by a linear completely unstable exosystem via a disturbance signal. The exosystem also generates the reference signal for the plant output. The state feedback regulator problem is to design a controller that has access to the states of the exosystem and the plant and which, while guaranteeing the stability of the closed-loop system without the exosystem, drives the tracking error to zero. We show that, under suitable assumptions, this problem is solvable if and only if a pair of algebraic equations, called the regulator equations, is solvable. We present an example that illustrates our theory.",

keywords = "Exosystem, Regular linear system, Regulator equations, State feedback regulator problem",

author = "Vivek Natarajan and Gilliam, {David S.} and George Weiss",

note = "Publisher Copyright: {\textcopyright} IFAC.; 19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014 ; Conference date: 24-08-2014 Through 29-08-2014",

year = "2014",

doi = "10.3182/20140824-6-za-1003.01012",

language = "אנגלית",

series = "IFAC Proceedings Volumes (IFAC-PapersOnline)",

publisher = "IFAC Secretariat",

pages = "5187--5192",

editor = "Edward Boje and Xiaohua Xia",

booktitle = "19th IFAC World Congress IFAC 2014, Proceedings",

address = "אוסטריה",

}