Hybrid control strategy of ocean floating ecosystem under influence of space-time diffusion

Abstract

The invention relates to a hybrid control strategy for an ocean floating ecosystem under the influence of space-time diffusion, and the strategy comprises the steps: building an uncontrolled multi-time-lag ocean floating ecosystem described by a partial differential equation, and obtaining a condition that the system has a positive equilibrium point; applying a hybrid controller to the uncontrolled marine planktonic ecological model containing time lag to obtain a marine planktonic ecological model added with the hybrid controller; linearizing the ocean floating ecological model under the action of the hybrid controller at a balance point to obtain a linearized characteristic equation of the controlled network; and selecting time lag as bifurcation parameters, performing stability analysis and bifurcation analysis on a characteristic equation of a controlled network after linearization, and selecting proper controller parameters, so that the network is locally asymptotically stable near a balance point. Compared with other controllers, the controller does not need the current state value of the system during modeling, the adjustable range of control parameters is large, the actual operation is simple, convenient and feasible, and the control effect is remarkable.

Description

technical field [0001] The invention belongs to the technical field of controllers, and in particular relates to a mixed control strategy for marine planktonic ecosystems under the influence of time and space diffusion. Background technique [0002] In recent years, in order to better understand the energy cycle of marine ecosystems and organisms, some ecosystem models have been established as important analytical methods. Plankton play a vital role in both marine ecosystems and lake ecosystems. Plankton is widely distributed and has strong reproductive capacity. It has become the basis for the reproduction of other organisms in the water body and the main food source for the future world. The species and quantity of plankton vary with time (mainly seasonal distribution) and space (horizontal distribution and vertical distribution), and the interaction between predators and prey can be described more accurately based on the reaction-diffusion equation, but currently only T...

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Problems solved by technology

[0003] Comprehensive control is a common method to improve dynamical systems. Based on the development of integer order differential equation theory and fractional order differential equation theory, the research on the control of complex systems has received extensive attention from scholars. At present, the state feedback method, parameter Bifurcation control methods such as adjustment method, time-delay feedback method, PID control method, etc., but few people study on partial differential equations involving diffusion, and the only bifurcation control strategy for diffusion systems is limited to time-delay feedback controllers, However, the time-delay feedback controller has problems such as difficult design and single control mode.

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