Finite-time sliding mode control design for a class of uncertain conic nonlinear systems

This paper studies the sliding mode controller design problems for a class of nonlinear system. The nonlinear function is considered to satisfy conic-type constraint condition. A novel finite-time boundedness U+0028 FTB U+0029 based sliding mode controller design theory is proposed. And then a sufficient condition is obtained in terms of linear matrix inequalities U+0028 LMIs U+0029, which guarantees the resulted sliding mode dynamics to be FTB wrt some predefined scalars. Thereafter, a FTB-based sliding mode control U+0028 SMC U+0029 law is synthesized to ensure the state of the controlled system is driven into a novel desired switching surface in a finite time. Simulation results illustrate the validity of the proposed FTB-based SMC design theory.