Title : 
Control design for an AWD clutch system via the piecewise affine system framework
         
        
            Author : 
Shiming Duan ; Jun Ni ; Ulsoy, A. Galip
         
        
            Author_Institution : 
Univ. of Michigan, Ann Arbor, MI, USA
         
        
        
        
        
        
            Abstract : 
Piecewise affine (PWA) systems belong to a subclass of switched systems and provide good flexibility and traceability for modeling a variety of nonlinear systems. In this paper, application of the PWA system framework to the modeling and control of an automotive all-wheel drive clutch system is presented. The open-loop system is first modeled as a PWA system, followed by the design of a piecewise linear (i.e., switched) feedback controller. The stability of the closed-loop system, including model uncertainty and time delays, is examined using linear matrix inequalities based on Lyapunov theory. Finally, the responses of the closed-loop system under step reference signals and temperature disturbance signals are simulated to illustrate the effectiveness of the design.
         
        
            Keywords : 
closed loop systems; clutches; control system synthesis; delays; feedback; linear matrix inequalities; nonlinear control systems; open loop systems; piecewise linear techniques; signal processing; time-varying systems; AWD clutch system; LMI; Lyapunov theory; PWA system framework; automotive all-wheel drive clutch system; closed-loop system; linear matrix inequalities; model uncertainty; nonlinear systems; open-loop system; piecewise affine system framework; piecewise linear feedback controller design; step reference signals; switched systems; temperature disturbance signals; time delays; Closed loop systems; Coils; Stability analysis; Switches; Torque; Uncertainty;
         
        
        
        
            Conference_Titel : 
American Control Conference (ACC), 2012
         
        
            Conference_Location : 
Montreal, QC
         
        
        
            Print_ISBN : 
978-1-4577-1095-7
         
        
            Electronic_ISBN : 
0743-1619
         
        
        
            DOI : 
10.1109/ACC.2012.6315198