Title :
Lyapunov functions for Twisting and Terminal controllers
Author :
Sanchez, Tonametl ; Moreno, Jaime A.
Author_Institution :
Inst. de Ing., Univ. Nac. Autonoma de Mexico (UNAM), Coyoacán, Mexico
fDate :
June 29 2014-July 2 2014
Abstract :
In this work, homogeneous Lyapunov functions for the Second Order Sliding Mode algorithms “Twisting” and “Terminal” are designed. Such functions are obtained using a systematic and constructive method. The designing method and the Lyapunov functions provide sets of gains that guarantee finite time stability of the system´s origin in the disturbed case. It is also proved that the conditions for the controller´s gains are even necessary and sufficient.
Keywords :
Lyapunov methods; control system synthesis; stability; variable structure systems; Lyapunov functions; constructive method; control design method; controller gains; finite time stability; necessary condition; second order sliding mode algorithms; sufficient condition; systematic method; terminal controllers; twisting controllers; Algorithm design and analysis; Convergence; Design methodology; Lyapunov methods; Stability analysis; Trajectory; Vectors;
Conference_Titel :
Variable Structure Systems (VSS), 2014 13th International Workshop on
Conference_Location :
Nantes
DOI :
10.1109/VSS.2014.6881136
