This paper describes methods applicable to the modeling and control of mechanical contact, particularly those systems that experience uncertain stick/slip phenomena. Geometric kinematic reductions are used to reduce a system’s description from a second-order dynamic model with frictional disturbances coming from a function space to a first-order model with frictional disturbances coming from a ...

This paper addresses the L2-gain analysis and control synthesis problem for a class of switched nonlinear systems affected by both time-varying uncertainties and external disturbances. Firstly, the L2-gain for the autonomous switched disturbed uncertain system is analyzed. Then, a switched state feedback control law is designed and the L2 -gain is analyzed for the disturbed uncertain non-autono...

This paper addresses the fixed-time stability problem of chaotic systems with internal uncertainties and external disturbances. To this end, new sliding-mode surfaces are introduced to design controllers for stabilization perturbed systems. First, required conditions deriving determined. Then, using obtained theorems sliding mode techniques, synthesized. The proposed controller enables converge...