Adaptive stabilization of stochastic systems with polynomial nonlinear conditions, unknown parameters, and dead‐zone actuator
Many practical dynamic models always suffer from complex nonlinearities, parameter uncertainties and random noises. Such kind of models are always characterized by uncertain stochastic nonlinear systems. Besides, many factors will lead to dead‐zone actuator, which further adds more challenges to con...
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| Veröffentlicht in: | International journal of robust and nonlinear control 2024-05, Vol.34 (8), p.5524-5539 |
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| container_title | International journal of robust and nonlinear control |
| container_volume | 34 |
| creator | Xue, Lingrong Liu, Zhen‐Guo Zhang, Weihai |
| description | Many practical dynamic models always suffer from complex nonlinearities, parameter uncertainties and random noises. Such kind of models are always characterized by uncertain stochastic nonlinear systems. Besides, many factors will lead to dead‐zone actuator, which further adds more challenges to control engineering. This paper studies stabilization issue of stochastic systems with polynomial nonlinear conditions, unknown parameters and dead‐zone actuator. An adaptive control approach is proposed by exploring homogeneous domination control and using dynamic‐gain‐based adaptive design strategy. It shows that all the signals are bounded almost surely and the system states converge to the origin almost surely. The presented method is successfully applied to the mass spring mechanical system. |
| doi_str_mv | 10.1002/rnc.7254 |
| format | Article |
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| ispartof | International journal of robust and nonlinear control, 2024-05, Vol.34 (8), p.5524-5539 |
| issn | 1049-8923 1099-1239 |
| language | eng |
| recordid | cdi_proquest_journals_3035373682 |
| source | Wiley Online Library Journals Frontfile Complete |
| subjects | Actuators Adaptive control Dynamic models Mechanical systems Nonlinear systems Nonlinearity Parameter uncertainty Polynomials Stabilization Stochastic systems uncertainty |
| title | Adaptive stabilization of stochastic systems with polynomial nonlinear conditions, unknown parameters, and dead‐zone actuator |
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