Adaptive stabilization of linear and nonlinear plants in the presence of large and arbitrarily fast variations of the parameters

作者：Duarte Mermoud Manuel A^*; Estrada Jorge L; Travieso Torres Juan C

来源：Journal of the Franklin Institute, 2009, 346(8): 752-767.

DOI：10.1016/j.jfranklin.2009.07.004

• Adaptive stabilization
• Adaptive control of time-varying plants
• Adaptive stabilization of linear time-varying systems
• Adaptive stabilization of nonlinear time-varying systems

The problem of adaptive stabilization of a class of continuous-time and time-varying nonlinear plants is treated in this paper. The control scheme guarantees that the state of the plant, with bounded time-varying parameters, asymptotically converges to zero. For the nonlinear case with n(2) + n unknown parameters (n time-varying and n(2) constant), when the control matrix B is unknown the controller has to adjust n(2) + 1 parameters providing only local stability results. On the contrary, when the control matrix B is known only one parameter has to be adjusted and the proposed scheme provides global stability results. The general methodology is particularized for the linear case with 2n(2) unknown parameters (n(2) time-varying and n(2) constant), adjusting n(2) + 1 parameters when the control matrix B is unknown and guarantees only local stability results, where as in the case when the control matrix B is known only one parameter has to be adjusted and the proposed scheme provides global stability results.

• 出版日期2009-10