Exponentially Stable Adaptive Control. Part II. Switched Systems
- Авторлар: Glushchenko A.1, Lastochkin K.1
-
Мекемелер:
- Trapeznikov Institute of Control Sciences, Russian Academy of Sciences
- Шығарылым: № 3 (2023)
- Беттер: 65-105
- Бөлім: Articles
- URL: https://journals.rcsi.science/0005-2310/article/view/144265
- DOI: https://doi.org/10.31857/S0005231023030042
- EDN: https://elibrary.ru/ZYTLKX
- ID: 144265
Дәйексөз келтіру
Аннотация
An adaptive state-feedback control system for a class of linear systems with piecewise-constant unknown parameters is proposed. The solution ensures a global exponential stability of a closed-loop system under condition that a regressor is finitely exciting after each parameters switch, and does not require neither any knowledge of a plant input matrix, nor the switching time instants. The obtained theoretical results are corroborated by numerical simulations.
Авторлар туралы
A. Glushchenko
Trapeznikov Institute of Control Sciences, Russian Academy of Sciences
Email: aiglush@ipu.ru
Moscow, Russia
K. Lastochkin
Trapeznikov Institute of Control Sciences, Russian Academy of Sciences
Хат алмасуға жауапты Автор.
Email: lastconst@yandex.ru
Moscow, Russia
Әдебиет тізімі
- Ioannou P., Sun J. Robust Adaptive Control. N.Y.: Dover, 2013.
- Narendra K.S., Annaswamy A.M. Stable Adaptive Systems. Courier Corporation, 2012.
- Tao G. Adaptive Control Design and Analysis. John Wiley & Sons, 2003.
- Narendra K.S. Hierarchical Adaptive Control of Rapidly Time-Varying Systems Using Multiple Models // Control Complex Syst. Butterworth-Heinemann, 2016. P. 33-66.
- Chowdhary G.V., Johnson E.N. Theory and Flight-Test Validation of A Concurrent-Learning Adaptive Controller // J. Guid. Control & Dyn. 2011. Vol. 34. No. 2. P. 592-607.
- Pan Y., Aranovskiy S., Bobtsov A., Yu H. Efficient Learning from Adaptive Control under Sufficient Excitation // Int. J. Robust & Nonlinear Control. 2019. Vol. 29. No. 10. P. 3111-3124.
- Lee H.I., Shin H.S., Tsourdos A. Concurrent Learning Adaptive Control with Directional Forgetting // IEEE Trans. Automat. Control. 2019. Vol. 64. No. 12. P. 5164-5170.
- Jenkins B.M., Annaswamy A.M., Lavretsky E., Gibson T.E. Convergence Properties of Adaptive Systems and The Definition of Exponential Stability // SIAM J. Control & Optimiz. 2018. Vol. 56. No. 4. P. 2463-2484.
- Ortega R., Nikiforov V., Gerasimov D. On Modified Parameter Estimators for Identification and Adaptive Control. A Unified Framework and Some New Schemes // Annual Reviews in Control. 2020. Vol. 50. P. 278-293.
- Glushchenko A., Petrov V., Lastochkin K. Regression Filtration with Resetting to Provide Exponential Convergence of MRAC for Plants with Jump Change of Unknown Parameters // IEEE Trans. Automat. Control. 2022. P. 1-8. Early Access.
- Kersting S. Adaptive Identifcation and Control of Uncertain Systems with Switching. PhD thesis, Technische Universitat Munchen; 2018. https://mediatum.ub.tum.de/doc/1377055/1377055.pdf. Accessed March 15, 2022.
- Sang Q., Tao G. Adaptive Control of Piecewise Linear Systems: The State Tracking Case // IEEE Trans. on Automat. Control. 2011. Vol. 57. No. 2. P. 522-528.
- Sang Q., Tao G. Adaptive Control of Piecewise Linear Systems With Applications to NASA GTM // Proc. Amer. Control Conf. 2011. P. 1157-1162.
- Sang Q., Tao G. Adaptive Control of Piecewise Linear Systems with Output Feedback for Output Tracking // Conf. Dec. & Control. 2012. P. 5422-5427.
- Sang Q., Tao G. Adaptive Control of Piecewise Linear Systems with State Feedback for Output Tracking // Asian J. Control. 2013. Vol. 15. No. 4. P. 933-943.
- Liberzon D. Switching in Systems and Control. Boston: Birkhauser, 2003.
- De La Torre G., Chowdhary G., Johnson E.N. Concurrent learning adaptive control for linear switched systems // Amer. Control Conf. 2013. P. 854-859.
- Goldar S.N., Yazdani M., Sinafar B. Concurrent Learning Based Finite-Time Parameter Estimation in Adaptive Control of Uncertain Switched Nonlinear Systems // J. Control, Automat. & Electr. Syst. 2017. Vol. 28. No. 4. P. 444-456.
- Wu C., Huang X., Niu B., Xie X.J. Concurrent Learning-Based Global Exponential Tracking Control of Uncertain Switched Systems With Mode-Dependent Average Dwell Time // IEEE Access. 2018. Vol. 6. P. 39086-39095.
- Wu C., Li J., Niu B., Huang X. Switched Concurrent Learning Adaptive Control of Switched Systems with Nonlinear Matched Uncertainties // IEEE Access. 2020. Vol. 8. P. 33560-33573.
- Liu T., Buss M. Indirect Model Reference Adaptive Control of Piecewise Affine Systems with Concurrent Learning // IFAC-PapersOnLine. 2020. Vol. 53. No. 2. P. 1924-1929.
- Du Y., Liu F., Qiu J., Buss M. Online Identification of Piecewise Affine Systems Using Integral Concurrent Learning // IEEE Trans. Circuits & Syst. I: Reg. Papers, 2021. Vol. 68. No. 10 P. 4324-4336.
- Du Y., Liu F., Qiu J., Buss M. A Novel Recursive Approach for Online Identification of Continuous-Time Switched Nonlinear Systems // Int. J. Robust Nonlinear Control. 2021. P. 1-20.
- Narendra K.S., Balakrishnan J. Adaptive Control Using Multiple Models // IEEE Trans. Automat. Control. 1997. Vol. 42. No. 2. P. 171-187.
- Glushchenko A., Lastochkin K., Petrov V. Exponentially Stable Adaptive Control. Part I. Time-Invariant Plants // Autom. Remote Control. 2022. V. 83. No. 4. P. 548-578.
- Glushchenko A., Lastochkin K. Unknown Piecewise Constant Parameters Identification with Exponential Rate of Convergence // Int. J. Adap. Control Signal Proc. 2023. V. 37. No. 1. P. 315-346.
- Glushchenko A., Lastochkin K. Exponentially Stable Adaptive Optimal Control of Uncertain LTI Systems // arXiv preprint arXiv:2205.02913. 2022. P. 1-37.
- Glushchenko A., Lastochkin K. Exponentially Convergent Direct Adaptive Pole Placement Control of Plants with Unmatched Uncertainty under FE Condition // IEEE Control Syst. Letters. 2022. Vol. 6. P. 2527-2532.
- Wang L., Ortega R., Bobtsov A., Romero J., Yi B. Identifiability Implies Robust, Globally Exponentially Convergent On-Line Parameter Estimation: Application to Model Reference Adaptive Control // preprint arXiv:2108.08436; 2021. P. 1-16.
- Hakem A., Cocquempot V., Pekpe K. Switching time estimation and active mode recognition using a data projection method // Int. J. App. Math. & Comp. Sc. 2016. Vol. 26. No.4. P. 827-840.