Non-linear controller design method for mimo non-minimum phase cstr reactor

Abstract

The invention discloses a method for designing a non-linear controller of an MIMO non-minimum phase CSTR. The controller designing method can also guarantee stability of zero dynamics inside a system while guaranteeing that external dynamics of the system meets the performance requirements. The method comprises the steps of first performing system modeling on the CSTR according to the actual production process, obtaining a non-linear mathematical model of the control system; utilizing a state feedback linearization theory to perform accurate feedback linearization on an obtained MIMO non-linear system, obtaining a linearization standard form of the MIMO non-linear system; dismantling the MIMO linearization standard form into a plurality of linear subsystems and an SISO linearization standard form subsystem; finally based on pole assignment and the Lyapunov stability theory, providing a method for designing a non-linear controller with the non-minimum phase characteristic SISO linearization standard form subsystem, combining controllers of the linear subsystems, and obtaining the final form controller of the MIMO non-minimum phase CSTR.

Description

technical field [0001] The present invention relates to a non-minimum phase continuous stirred tank reactor (CSTR) design and construction method of a nonlinear controller of multiple input multiple output (MIMO), especially relates to the control of the actual chemical production process of producing cyclopentene by using CSTR The device design and its construction method belong to the technical field of automatic control. Background technique [0002] CSTR is a kind of reactor widely used in polymerization chemical reaction. It is a typical and highly nonlinear chemical reaction system in the process industry. The chemical production process of using CSTR to produce cyclopentene has typical nonlinear and non-minimum phase characteristics. The stable control of systems with nonlinear and non-minimum phase characteristics has always been the focus of people's research, resulting in various control methods and strategies, among which the approximate linearization method and ...

AI Technical Summary

Problems solved by technology

For a non-minimum phase system (that is, a system with zero dynamic instability), it is difficult to ensure the stability of the internal zero dynamics of the system with a controller designed only for the linear subsystem that can make the external dynamics meet certain performance requirements, so the non-minimum phase characteristic Makes exact feedback linearization methods based on differential geometry extremely challenging

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