This paper studies the critical time span and the approximate nonlinear action structure of climatic atmosphere and ocean. The critical time span of the climatic atmosphere and ocean, which is related to the spatial r...This paper studies the critical time span and the approximate nonlinear action structure of climatic atmosphere and ocean. The critical time span of the climatic atmosphere and ocean, which is related to the spatial resolution required, the strength of nonlinear action, and the calculation exactness, may represent the relative temporal scale of predictability. As far as the same characteristic spatial scale is concerned, the minimum critical time span of the ocean is about 9 times of that of atmosphere, several days or more. Usually, the stronger the nonlinear action, the shorter the critical time span with smooth changes of external forces. The approximate structure of nonlinear action of climatic atmosphere and ocean is: the nonlinear action decreases usually with increasing latitude, which is related to the role of the Coriolis force in fluid motion (forming geostrophic current); the nonlinear action changes with the anomalous cyclonic or anticyclonic circulation shear, for instance, when the strength of anomalous eastward zonal circulation is comparable to that of anomalous meridional circulation, the nonlinear action is the strongest; wind stress plus gradient forces enhance the nonlinear action, etc.展开更多
Based on the refraction-diffraction theory of irregular waves in the waters of slowly-varying currents and depths, and the generation dissipation theory of wind wave, a model for nonlinear irregular waves in coastal a...Based on the refraction-diffraction theory of irregular waves in the waters of slowly-varying currents and depths, and the generation dissipation theory of wind wave, a model for nonlinear irregular waves in coastal area is developed. In light of the specific conditions of coastal wave character and engineering application, a practical mathematical model for the nonlinear irregular waves is presented, with directional spectrum in coastal area. Coast effect, refraction, whitecapping, bottom friction, current, wind and nonlinear action are considered in this model. The numerical methods and schemes for wave refraction ray, energy conservation of propagation, energy balance of the generation and dissipation of wind waves have been studied. Finally, the model is used for the directional wave spectrum computation in the Daya Bay. Compared with the measured data with 956 wave bouys in the Daya Bay, the model results are in good agreement with the measured results.展开更多
In this paper, a kind of fire new nonlinear integrator and integral action is proposed. Consequently, a conventional Proportional Nonlinear Integral (P_NI) observer and two kinds of added-order P_NI observers are deve...In this paper, a kind of fire new nonlinear integrator and integral action is proposed. Consequently, a conventional Proportional Nonlinear Integral (P_NI) observer and two kinds of added-order P_NI observers are developed to deal with the uncertain nonlinear system. The conditions on the observer gains to ensure the estimated error to be ultimate boundness, which shrinks to zero as the states and control inputs converge to the equilibrium point, are provided. This means that if the observed system is asymptotically stable, the estimated error dynamics is asymptotically stable, too. Moreover, the highlight point of this paper is that the design of nonlinear integral observer is achieved by linear system theory. Simulation results showed that under the normal and perturbed cases, the pure added-order P_NI observer can effectively deal with the uncertain nonlinearities on both the system dynamics and measured outputs.展开更多
This paper provides a solution to generalize the integrator and the integral control action. It is achieved by defining two function sets to generalize the integrator and the integral control action, respectively, res...This paper provides a solution to generalize the integrator and the integral control action. It is achieved by defining two function sets to generalize the integrator and the integral control action, respectively, resorting to a stabilizing controller and adopting Lyapunov method to analyze the stability of the closed-loop system. By originating a powerful Lyapunov function, a universal theorem to ensure regionally as well as semi-globally asymptotic stability is established by some bounded information. Consequently, the justification of two propositions on the generalization of integrator and integral control action is verified. Moreover, the conditions used to define the function sets can be viewed as a class of sufficient conditions to design the integrator and the integral control action, respectively.展开更多
基金Acknowledgments. This study is supported by the Key National Program for Developing Basic Sciences (G1999043802) and the National Natural Science Fundation of China under Grant No.49876011.
文摘This paper studies the critical time span and the approximate nonlinear action structure of climatic atmosphere and ocean. The critical time span of the climatic atmosphere and ocean, which is related to the spatial resolution required, the strength of nonlinear action, and the calculation exactness, may represent the relative temporal scale of predictability. As far as the same characteristic spatial scale is concerned, the minimum critical time span of the ocean is about 9 times of that of atmosphere, several days or more. Usually, the stronger the nonlinear action, the shorter the critical time span with smooth changes of external forces. The approximate structure of nonlinear action of climatic atmosphere and ocean is: the nonlinear action decreases usually with increasing latitude, which is related to the role of the Coriolis force in fluid motion (forming geostrophic current); the nonlinear action changes with the anomalous cyclonic or anticyclonic circulation shear, for instance, when the strength of anomalous eastward zonal circulation is comparable to that of anomalous meridional circulation, the nonlinear action is the strongest; wind stress plus gradient forces enhance the nonlinear action, etc.
基金Chinese Academy of Sciences:the"Ninth Five-Year Plan"important resourcesenvironment research project"pipeline in seabed"(No.KZ951-A1-405)alse by the Chinese"Ninth Five-Year Plan"strategic research project"examinacion in Nansha Islands"(N
文摘Based on the refraction-diffraction theory of irregular waves in the waters of slowly-varying currents and depths, and the generation dissipation theory of wind wave, a model for nonlinear irregular waves in coastal area is developed. In light of the specific conditions of coastal wave character and engineering application, a practical mathematical model for the nonlinear irregular waves is presented, with directional spectrum in coastal area. Coast effect, refraction, whitecapping, bottom friction, current, wind and nonlinear action are considered in this model. The numerical methods and schemes for wave refraction ray, energy conservation of propagation, energy balance of the generation and dissipation of wind waves have been studied. Finally, the model is used for the directional wave spectrum computation in the Daya Bay. Compared with the measured data with 956 wave bouys in the Daya Bay, the model results are in good agreement with the measured results.
文摘In this paper, a kind of fire new nonlinear integrator and integral action is proposed. Consequently, a conventional Proportional Nonlinear Integral (P_NI) observer and two kinds of added-order P_NI observers are developed to deal with the uncertain nonlinear system. The conditions on the observer gains to ensure the estimated error to be ultimate boundness, which shrinks to zero as the states and control inputs converge to the equilibrium point, are provided. This means that if the observed system is asymptotically stable, the estimated error dynamics is asymptotically stable, too. Moreover, the highlight point of this paper is that the design of nonlinear integral observer is achieved by linear system theory. Simulation results showed that under the normal and perturbed cases, the pure added-order P_NI observer can effectively deal with the uncertain nonlinearities on both the system dynamics and measured outputs.
文摘This paper provides a solution to generalize the integrator and the integral control action. It is achieved by defining two function sets to generalize the integrator and the integral control action, respectively, resorting to a stabilizing controller and adopting Lyapunov method to analyze the stability of the closed-loop system. By originating a powerful Lyapunov function, a universal theorem to ensure regionally as well as semi-globally asymptotic stability is established by some bounded information. Consequently, the justification of two propositions on the generalization of integrator and integral control action is verified. Moreover, the conditions used to define the function sets can be viewed as a class of sufficient conditions to design the integrator and the integral control action, respectively.
