{'fraction_non_alphanumeric': 0.0256, 'fraction_numerical': 0.0, 'mean_word_length': 5.589473684210526, '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}}
Regulation control of underactuated mechanical systems based on a new matching equation of port-controlled hamiltonian systems

We consider the control of Port-Controlled Hamiltonian (PCH) systems, which are a generalization of Euler-Lagrange Systems. A new matching equation for PCH systems is developed so that Interconnection Damping Assignment Passivity-Based Control (IDA-PBC) can be extended to the regulation of some underactuated PCH systems whose kinetic energy must be modified. A simple underactuated mechanical system (the inertial wheel pendulum) is used to demonstrate the effectiveness of the proposed method..