Title :
Disturbance rejection of switched discrete-time systems with saturation nonlinearity
Author :
Ma, Yong-Mei ; Yang, Guang-hong
Author_Institution :
Northeastern Univ., Shenyang
Abstract :
This paper addresses the problem of disturbance rejection for switched discrete-time linear systems subject to actuator saturations. An analysis condition is derived based on the switched saturation-dependent Lyapunov functions (SS-DLF) under which trajectories starting from a level set will remain inside an outer level set. An algorithm is developed to estimate the maximal norm of the exogenous disturbance that can be rejected by systems. Furthermore, upper bound of regional L2-gain for exogenous disturbance is minimized. All the results are obtained by exploiting switched saturation-dependent Lyapunov functions (SSDLF) and presented in terms of linear matrix inequalities (LMIs). A numerical example is given to show the effectiveness of the proposed methods.
Keywords :
Lyapunov methods; control nonlinearities; discrete time systems; linear matrix inequalities; linear systems; time-varying systems; actuator saturation; disturbance rejection; exogenous disturbance; linear matrix inequalities; linear system; saturation nonlinearity; switched discrete-time system; switched saturation-dependent Lyapunov functions; Air traffic control; Control systems; Educational institutions; Hydraulic actuators; Level set; Linear systems; Lyapunov method; Nonlinear control systems; Switched systems; Upper bound;
Conference_Titel :
Decision and Control, 2007 46th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
978-1-4244-1497-0
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2007.4434016