Parameter Selection Guidelines for a Parabolic Sliding Mode Filter Based on Frequency and Time Domain Characteristics

Figure 8

Transient time and overshoot magnitude with normalized input 𝑢(𝑡)=0.01+𝑠𝜀̂(𝑡)s², which is a step input corrupted by white Gaussian noise. In each figure, the result of filter (1a)–(1c) with 𝛼=1 refers to that of filter (4a)–(4c).

(a) Transient time

(b) Overshoot magnitude

(c) Cross-section view of (a) and (b) at 𝑠̂=0.003 s²