Title :
Stability of limit cycles in hybrid systems
Author_Institution :
Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana, IL, USA
Abstract :
Limit cycles are common in hybrid systems. However the nonsmooth dynamics of such systems makes stability analysis difficult. This paper uses recent extensions of trajectory sensitivity analysis to obtain the characteristic multipliers of nonsmooth limit cycles. The stability of a limit cycle is determined by its characteristic multipliers. The concepts are illustrated using a coupled tank system with on/off valve switching.
Keywords :
limit cycles; sensitivity analysis; stability; characteristic multipliers; coupled tank system; hybrid systems; limit cycles; nonsmooth dynamics; on/off valve switching; stability; stability analysis; trajectory sensitivity analysis; Differential algebraic equations; Eigenvalues and eigenfunctions; Hybrid power systems; Limit-cycles; Power system control; Power system dynamics; Power systems; Robots; Sensitivity analysis; Stability analysis;
Conference_Titel :
System Sciences, 2001. Proceedings of the 34th Annual Hawaii International Conference on
Conference_Location :
Maui, HI, USA
Print_ISBN :
0-7695-0981-9
DOI :
10.1109/HICSS.2001.926280
