{'fraction_non_alphanumeric': 0.00922509225092251, 'fraction_numerical': 0.0, 'mean_word_length': 5.313953488372093, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
A polar coordinate based sliding mode design for vibration control

A polar coordinate based sliding mode control design approach for solving vibration control problems is proposed. The phase plane in subdivided into multiple sets, and a different sliding manifold can be chosen for each of the sets. This flexibility in the design allows a different variable structure control law to be applied depending on the phase angle of the vibration. Transient performance improvements over conventional VSC with sliding hyperplanes are demonstrated.