{'fraction_non_alphanumeric': 0.0183585313174946, 'fraction_numerical': 0.0, 'mean_word_length': 5.01948051948052, '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}}
Estimation and control of discrete fractional order states-space systems

This paper presents the estimation and the state feedback control of the discrete fractional order states-space systems. First of all the state-space model of a fractional order dynamic system is introduced. For this model the stability condition is derived and discussed. Then the parameters identification problem is presented and least squares solution to it is given. Having established the parameters of the model, in order to produce a state feedback control the state vector is needed. In most cases, however it is not available from measurements. Therefore, the state estimation problem arises. In the paper a modification of Kalman filtering technique for this purpose is proposed. At the end the state feedback pole-placement control is applied to a fractional order system. All the techniques used are illustrated with simulational examples.