A high-precision fuzzy controller, based on a state observer, is developed for a class of nonlinear single-input-single-output(SISO) systems with system uncertainties and external disturbances. The state observer is i...A high-precision fuzzy controller, based on a state observer, is developed for a class of nonlinear single-input-single-output(SISO) systems with system uncertainties and external disturbances. The state observer is introduced to resolve the problem of the unavailability of state variables. Assisted by the observer, a variable universe fuzzy system is designed to approximate the ideal control law. Being auxiliary components, a robust control term and a state feedback control term are designed to suppress the influence of the lumped uncertainties and remove the observation error, respectively. Different from the existing results, no additional dynamic order is required for the control design. All the adaptive laws and the control law are built based on the Lyapunov synthesis approach, and the signals involved in the closed-loop system are guaranteed to be uniformly ultimately bounded. Simulation results performed on Duffing forced oscillation demonstrate the advantages of the proposed control scheme.展开更多
In this paper, fuzzy systems are used as identifiers for unknown nonlinear dynamic systems. The fuzzy identifier can incorporate linguistic knowledge of nonlinear dynamic systems with input-output pairs directly into ...In this paper, fuzzy systems are used as identifiers for unknown nonlinear dynamic systems. The fuzzy identifier can incorporate linguistic knowledge of nonlinear dynamic systems with input-output pairs directly into the design. In the case where there is the modelling error, a new identification algorithm is proposed. It is proved that the fuzzy identifier is globally stable and the identification error converges to zero exponentially fast.展开更多
基金supported by National Natural Science Foundation of China(No.61074044)Basic and Cutting-edge Technology of Science and Technology Department of Henan Province(No.092300410178)
文摘A high-precision fuzzy controller, based on a state observer, is developed for a class of nonlinear single-input-single-output(SISO) systems with system uncertainties and external disturbances. The state observer is introduced to resolve the problem of the unavailability of state variables. Assisted by the observer, a variable universe fuzzy system is designed to approximate the ideal control law. Being auxiliary components, a robust control term and a state feedback control term are designed to suppress the influence of the lumped uncertainties and remove the observation error, respectively. Different from the existing results, no additional dynamic order is required for the control design. All the adaptive laws and the control law are built based on the Lyapunov synthesis approach, and the signals involved in the closed-loop system are guaranteed to be uniformly ultimately bounded. Simulation results performed on Duffing forced oscillation demonstrate the advantages of the proposed control scheme.
文摘In this paper, fuzzy systems are used as identifiers for unknown nonlinear dynamic systems. The fuzzy identifier can incorporate linguistic knowledge of nonlinear dynamic systems with input-output pairs directly into the design. In the case where there is the modelling error, a new identification algorithm is proposed. It is proved that the fuzzy identifier is globally stable and the identification error converges to zero exponentially fast.
