A Stabilization Control Method for Multiple-Input and Multiple-Output Nonlinear Differential-Algebraic Subsystems

Abstract

The invention relates to a stabilization control method of a multiple-input-multiple-output nonlinear differential algebraic subsystem. The stabilization control method comprises the following steps: building a model of the multiple-input-multiple-output nonlinear differential algebraic subsystem; conducting equivalent transformation on the model through diffeomorphism and state feedback to form a multiple-input-multiple-output nonlinear ordinary differential system, wherein the multiple-input-multiple-output nonlinear ordinary differential system comprises various groups of ordinary differential subsystems; obtaining a corresponding subsystem controller of the ordinary differential subsystem through a backstepping method, and combining the various groups of subsystem controllers with the state feedback to obtain the system stabilization controller. According to the stabilization control method of the multiple-input-multiple-output nonlinear differential algebraic subsystem, the range of a controlled object is wider, the backstepping method is simpler and more practical, the model and the method achieve excellent effects when being applied to an electric power system, and the system more tends to be stable.

Description

technical field [0001] The invention belongs to the field of engineering control, and in particular relates to a stabilizing control method for a multi-input multi-output nonlinear differential algebra subsystem based on a backstepping method. Background technique [0002] The stabilizing controller is transformed from the controlled input into the subsystem controller. Substituting it into the nonlinear differential algebraic subsystem can transform the nonlinear differential algebraic subsystem into a nonlinear ordinary differential system, which plays a vital role in the development of the power system. important role, however, many achievements have been made on single-input single-output nonlinear differential algebraic subsystems. In practical applications, the controlled object is often described by a multi-input multi-output nonlinear differential algebraic subsystem. The multiple-input multiple-output nonlinear differential algebra subsystem has the following advan...

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Problems solved by technology

After searching for the design of the stabilizing controller of the nonlinear differential algebraic subsystem with multiple inputs and multiple outputs, no papers and patents on this aspect have been found.

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