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Design of Variable Structure Control System With Nonlinear Time-Varying Sliding Sector

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4 Author(s)
Yaodong Pan ; Dept. of Aerosp. Eng., Ryerson Univ., Toronto, ON, Canada ; Kumar, K.D. ; Guangjun Liu ; Furuta, K.

A variable structure control (VSC) algorithm is proposed with a nonlinear time-varying (NTV) sliding sector for a class of nonlinear time-variant systems represented in a state-dependent linear time-variant form. The NTV sliding sector, a subset of the state space is designed by the state-dependent differential Riccati equation (SDDRE). A VSC law is designed such that the system enters the sliding sector in finite time and a Lyapunov function candidate decreases inside the NTV sliding sector. An NTV control and a sliding mode control algorithms are proposed based on the solution of the SDDRE as well.

Published in:

Automatic Control, IEEE Transactions on  (Volume:54 ,  Issue: 8 )