Premium
Robust H ∞ control of an uncertain system via a strict bounded real output feedback controller
Author(s) -
Petersen Ian R.
Publication year - 2008
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.845
Subject(s) - control theory (sociology) , riccati equation , algebraic riccati equation , linear quadratic regulator , mathematics , norm (philosophy) , controller (irrigation) , bounded function , scaling , algebraic number , h infinity methods in control theory , state (computer science) , set (abstract data type) , output feedback , optimal control , control (management) , computer science , mathematical optimization , partial differential equation , algorithm , mathematical analysis , law , agronomy , programming language , geometry , artificial intelligence , political science , biology
This paper presents a new approach to the robust H ∞ control of an uncertain system via an output feedback controller that is both stable and has an H ∞ norm strictly less than a specified value. The uncertain systems under consideration contain structured uncertainty described by integral quadratic constraints. The controller is designed to achieve absolute stabilization with a specified level of disturbance attenuation. The main result involves solving a state feedback version of the problem by solving an algebraic Riccati equation dependent on a set of scaling parameters. Then two further algebraic Riccati equations are solved, which depend on a further set of scaling parameters. The required controller is constructed from the Riccati solutions. Copyright © 2008 John Wiley & Sons, Ltd.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom