Type-2 Bionic Fuzzy Control Within Input-output Nonlinear Relationship

The adaptive strategies of biological and Type-2 fuzzy control systems are combined.Then the construction methods of direct and indirect two different fuzzy controllers are studied,respectively,for a class of Single input and single output(SISO)nonlinear systems with a nonlinear relationship between input and output.Based on the Type-2 fuzzy system,the niche is used as the antecedent of the fuzzy rules and the general niche as the consequent to construct the bionic fuzzy system.When the input variables of the system are unmeasurable,we use an observer to estimate the unmeasured state and given the adaptive law.The study is as follows:(1)For a class of SISO nonlinear systems with a nonlinear relationship between input and output,a design method of Type-2 bionic direct adaptive fuzzy controller is proposed,and the adaptive law is given.The stability and convergence of the control system are analyzed.Finally,the example of mass-spring-damper system on the trolley was used to simulate the performance of the proposed control method.(2)For a class of SISO nonlinear systems with input and output nonlinearities,taking into account the state of non-measurement,a design method of Type-2 bionic indirect adaptive fuzzy controller is proposed.When the original system is difficult to describe in the state space,the nonlinear relationship between input and output is established by deriving the output variables of the system.Then the bionic fuzzy system is constructed using the state observer,and the stability and convergence of the control system are analyzed.Finally,an example simulation of an the automotive MR semi-active suspension system is given and the performance of the proposed control method is verified.