{'fraction_non_alphanumeric': 0.011049723756906077, 'fraction_numerical': 0.0, 'mean_word_length': 5.863636363636363, '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}}
Output feedback adaptive stabilization and command following for minimum phase dynamical systems with unmatched uncertainties

In this paper, we develop an output feedback adaptive control framework for continuous-time minimum phase multivariable dynamical systems for output stabilization and command following. The approach is based on a nonminimal state space realization that generates an expanded set of states using the filtered inputs and filtered outputs and their derivatives of the original system. Specifically, a direct adaptive controller for the nonminimal state space model is constructed using the expanded states of the nonminimal realization and is shown to be effective for multi-input, multi-output linear dynamical systems with unmatched system uncertainties and unstable dynamics. Two illustrative numerical examples are provided to demonstrate the efficacy of the proposed approach.