Title :
An output feedback H∞ controller design for linear systems subject to sensor nonlinearities
Author :
Cao, Yong-Yan ; Lin, Zongli ; Chen, Ben M.
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Virginia, Charlottesville, VA, USA
fDate :
7/1/2003 12:00:00 AM
Abstract :
In this paper, the output feedback H∞ controller design problem is addressed for linear systems subject to sensor nonlinearity. First, the existence condition of an output feedback controller is derived for systems with sensor sector nonlinearity. A design method for the output feedback H∞ controller is proposed using a linear-matrix inequality (LMI) based approach. The result is then applied to the design of a regional output feedback H∞ controller for the systems subject to sensor saturation. An LMI optimization based approach is proposed to computing the feedback matrices of the regional output feedback H∞ controller. Finally, a numerical example is presented to show the effectiveness of the results.
Keywords :
H∞ control; control system synthesis; feedback; linear matrix inequalities; linear systems; optimisation; sensors; stability; LMI optimization based approach; LMI-based approach; design method; existence condition; feedback matrices; linear systems; linear-matrix inequality; output feedback H∞ controller design; regional output feedback controller; sensor nonlinearity; sensor saturation; sensor sector nonlinearity; Control nonlinearities; Control systems; Design methodology; Hydraulic actuators; Linear feedback control systems; Linear systems; Nonlinear control systems; Output feedback; Sensor systems; Stability;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
DOI :
10.1109/TCSI.2003.813967
