Title :
Mixed criteria control design with finite-time boundedness and H∞ property for a class of discrete-time nonlinear systems
Author :
ElBsat, M.N. ; Yaz, Edwin E.
Abstract :
A feedback controller design which guarantees both finite-time boundedness and H∞ attenuation for a class of nonlinear systems with conic type nonlinearities and additive disturbances is presented. Conditions which guarantee the existence of a robust state-feedback controller for maintaining a bound on the transient response and satisfying an H∞ bound in the steady state for this class of systems are derived. A solution for the controller gain is obtained through the application of linear matrix inequality techniques. The controller developed is robust for all nonlinearities satisfying the conic inequality and all admissible disturbances. We conclude the paper with a numerical example illustrating the applicability of the controller design.
Keywords :
H∞ control; control system synthesis; discrete time systems; linear matrix inequalities; nonlinear control systems; robust control; state feedback; transient response; H∞ attenuation; H∞ property; additive disturbances; conic inequality; conic type nonlinearities; controller gain; discrete time nonlinear system; feedback controller design; finite-time boundedness; linear matrix inequality technique; mixed criteria control design; robust state feedback controller; transient response; Closed loop systems; Linear matrix inequalities; Linear systems; Matrices; Nonlinear systems; Symmetric matrices;
Conference_Titel :
Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
978-1-61284-800-6
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2011.6160991