A new sliding mode controller design method is proposed for a class of system with mismatched uncertainties such that the dynamic function restricted on the sliding surface is completely insensitive to the uncertainti...A new sliding mode controller design method is proposed for a class of system with mismatched uncertainties such that the dynamic function restricted on the sliding surface is completely insensitive to the uncertainties. A sufficient and necessary condition which the system possessing this sliding mode controller should satisfy is explicitly presented. The issue of chattering free is also explored. It is concluded that this class of mismatched term does not bring any chattering problem.Finally, a numerical example illustrates the developed method.展开更多
An extension of L_1 adaptive control is proposed for the unmatched uncertain nonlinear system with the nonlinear reference system that defines the performance specifications. The control law adapts fast and tracks the...An extension of L_1 adaptive control is proposed for the unmatched uncertain nonlinear system with the nonlinear reference system that defines the performance specifications. The control law adapts fast and tracks the reference system with the guaranteed robustness and transient performance in the presence of unmatched uncertainties. The interval analysis is used to build the quasi-linear parameter-varying model of unmatched nonlinear system, and the robust stability of the proposed controller is addressed by sum of squares programming. The transient performance analysis shows that within the limit of hardware a large adaption gain can improve the asymptotic tracking performance. Simulation results are provided to demonstrate the theoretical findings of the proposed controller.展开更多
文摘A new sliding mode controller design method is proposed for a class of system with mismatched uncertainties such that the dynamic function restricted on the sliding surface is completely insensitive to the uncertainties. A sufficient and necessary condition which the system possessing this sliding mode controller should satisfy is explicitly presented. The issue of chattering free is also explored. It is concluded that this class of mismatched term does not bring any chattering problem.Finally, a numerical example illustrates the developed method.
文摘An extension of L_1 adaptive control is proposed for the unmatched uncertain nonlinear system with the nonlinear reference system that defines the performance specifications. The control law adapts fast and tracks the reference system with the guaranteed robustness and transient performance in the presence of unmatched uncertainties. The interval analysis is used to build the quasi-linear parameter-varying model of unmatched nonlinear system, and the robust stability of the proposed controller is addressed by sum of squares programming. The transient performance analysis shows that within the limit of hardware a large adaption gain can improve the asymptotic tracking performance. Simulation results are provided to demonstrate the theoretical findings of the proposed controller.
