Review on finite-time control method for a second-order system
In comparison to the traditional and classical proportional-integral-derivative(PID)control,the finite-time control with exponential parameters has better control performance,so it has been widely researched in recent years.This paper reviews nearly all the mainstream finite-time control methods,and the main contributions of this review are as follows.First,the mainstream finite-time control methods are divided into seventeen finite-time state feedback control methods and six finite-time output feedback control methods,on the basis of stability analysis.Afterwards,for a general and fundamental second-order system,the mathematical expressions of all the control methods are explicitly presented by standardizing variables and parameters.In the next part,through principle analysis and comparative analysis,the advantages and disadvantages of every control method are summarized,in particular,the problem of"the contradiction between control singularity and convergence time"with regard to terminal sliding mode control,and the mistakes of some control methods are proposed.Finally,the comparison results and the future research directions of all the control methods are presented in tabular form.
finite-time controlterminal sliding modehomogeneous systemadding a power integratoroutput feed-back control
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