A universality advantage of stochastic excitation signals for adaptive control |
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| Authors: | J. B. Moore |
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| Affiliation: | 1. School of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan 411201, PR China;2. School of Information Science and Engineering, Central South University, Changsha 410012, PR China;3. College of Automation, Huazhong University of Science and Technology, Wuhan 430074, PR China;4. Computer and Information Engineering College, Guangxi Teachers Education University, Nanning 530001, PR China;1. School of Astronautics, Northwestern Polytechnical University, Xi''an 710072, China;2. School of Aeronautics and Astronautics, Central South University, Changsha 410083, China;3. Unmanned System Research Institute, Northwestern Polytechnical University, Xi''an 710072, China;1. School of Science, Jiangnan University, Wuxi 214122, China;2. Department of Mathematics, Southeast University, Nanjing 210096, China;3. Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia;1. School of Automation, Guangdong University of Technology, Guangzhou 510006, China;2. School of Mechanical and Electric Engineering, Guangzhou University, Guangzhou 510006, China;3. Department of Computer and Information Science, Faculty of Science and Technology, University of Macau, Macau 99999, China;4. Dalian Maritime University, Dalian 116026, China;5. State Key Laboratory of Management and Control for Complex Systems, Institute of Automation, Chinese Academy of Sciences, Beijing 100080, China;1. Ampath Pathology Laboratories and Department of Anatomical Pathology, University of Pretoria, South Africa;2. Center of Pathology CHU Mustapha, Algiers, Algeria;3. American University of Beirut Medical Center, Riad El-Solh, Beirut, Lebanon;4. Kuwait Cancer Centre, Kuwait;5. Tripoli Medical Center, Tripoli, Libya;6. Kasr El Aini University Hospital, Garden City, Cairo, Egypt;7. AcuMed, Macclesfield, United Kingdom;8. National Guard Hospital, King Abdulaziz Medical City, Riyadh, Saudi Arabia;9. Aberdeen Royal Infirmary, Aberdeen, Scotland, United Kingdom |
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| Abstract: | Adaptive control schemes usually depend on estimation of system parameters, which in turn depends excitation of modes associated with these parameters. Such excitation is supplied by plant noise, the adaptive control signal itself, and any external excitation such as a reference signal. In this note, it is shown that there is a universality advantage for any externally applied signal to be stochastic rather than deterministic. The crucial property of a stochastic signal exploited in this note is its unpredictability by any causal system, such as an adaptive control scheme. When such unpredictable signals excite an adaptive control scheme, there is no need to deliberately constrain the adaptation to be ‘slow’ or ‘excitation maintaining’ to ensure adequate identification. |
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| Keywords: | Adaptive control Persistency of excitation Parameter identification |
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