Output correction control method of multi-input multi-output nonlinear differential algebra subsystem

Abstract

The invention discloses an output correction control method of a multi-input multi-output nonlinear differential algebra subsystem. The output correction control method comprises the steps that the multi-input multi-output nonlinear differential algebra subsystem is created, the multi-input multi-output nonlinear differential algebra subsystem comprises a plurality of nonlinear differential subsystems, and vector relative orders exist in the multi-input multi-output nonlinear differential algebra subsystem, the step number sum of the vector relative orders is less than differential variable dimension; differential homeomorphism of a non-input multi-output nonlinear differential algebra subsystem is calculated, the non-input multi-output nonlinear differential algebra subsystem is convertedinto an equivalent system through the differential homeomorphism and state feedback, and the equivalent system comprises a plurality of equivalent subsystems; a subsystem controller of each equivalent subsystem is constructed through a backstepping method; each group of the subsystem controllers and state feedback form a large system output correction controller. The output correction control method of the multi-input multi-output nonlinear differential algebra subsystem has the advantages that the range of controlled objects is wider, and the method is applied to an electric system so that the system tends to be stable.

Description

technical field [0001] The invention relates to the technical field of multiple-input multiple-output nonlinear differential algebraic systems, in particular to an output correction control method for multiple-input multiple-output nonlinear differential algebraic subsystems. Background technique [0002] The output correction controller is transformed by adding the subsystem controller to the control input. Substituting it into the nonlinear differential algebraic subsystem can transform the nonlinear differential algebraic subsystem into a nonlinear ordinary differential system. The output correction controller is used in power systems, It is involved in complex systems such as biological systems and robotic systems, and especially plays a vital role in the development of power systems. Many existing achievements are about single-input and single-output nonlinear differential algebraic subsystems. However, in practical applications, single-input and single-output models ar...

AI Technical Summary

Problems solved by technology

Many existing achievements are about single-input and single-output nonlinear differential algebraic subsystems. However, in practical applications, single-input and single-output models are not universal, and the controlled objects are often composed of multiple-input and multiple-output nonlinear differential algebraic subsystems. described by the system

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