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

Figure 11

Comparison between the outputs of filter (1a)–(1c) with 𝐹=9000 s⁻² and 𝛼=3 and 2-LPF with 𝜔_𝑐𝑙=180,240,330and800rad/s for the input 𝑢=sin(100𝑡)+0.16sin(500𝑡). In (c), the amplitude of 𝑢 at 𝜔=500rad/s is not exactly 0.16 presumably because of the limited length of sampled data.

(a)  The input and the outputs

(b) Enlarged view of (a)

(c) Amplitude spectrum around 𝜔=500rad/s