In this review article we discuss recent variants and extensions, including the motion of curves in three dimensions, the dynamic surface extension method, fast methods for steady state problems, diffusion generated motion, and the variational level set approach.
In this paper, an adaptive prescribed performance tracking control scheme is investigated for a class of output feedback nonlinear systems with input unmodeled dynamics based on dynamic surface control method.
We then design the controller based on dynamic surface control method for a single link flexible joint manipulator whose model is unknown.
Our approach is a fixed grid, wavefront capturing formulation based on the Dynamic Surface Extension method of Steinhoff and Fan (Technical report, University of Tennessee Space Institute).
Among them, [14] investigated adaptive dynamic surface control method for nonlinear systems with an unknown dead zone in pure feedback form.
The problem of "explosion of complexity" is solved by using dynamic surface control (DSC) method.
Utilizing the changing supply function, dynamic surface control (DSC) method and Chebyshev's inequality, a strict stability analysis in probability is made.
By introducing the dynamic surface control (DSC) method, the bounded condition of the approximation error is removed, and the tracking control is achieved.
The dynamic simulation using the backstepping dynamic surface control (BDSC) method is successfully applied in the compliant mechanism to obtain a good tracking performance, the tracking errors gradually decrease along with the input frequency reduction.
