Abstract
A new nonlinear decoupling control method without state feedback based on a generalized inverse system of a least squares support vector machine (LS‐SVM) is proposed for a multiple‐input multiple‐output nonlinear discrete system. According to the mathematical model of multivariable nonlinear discrete systems, the reversibility of the LS‐SVM generalized inverse system is analyzed and verified. Using the ability of LS‐SVM to approximate nonlinear functions, the multivariable nonlinear generalized inverse model of stateless feedback can be obtained offline. The generalized inverse system obtained by LS‐SVM identification is connected before the original nonlinear system to decouple the multivariable nonlinear discrete systems into q independent single‐input single‐output pseudolinear subsystems. The theoretical derivation and simulation results show that the presented LS‐SVM generalized inverse decoupling control method can realize the dynamic decoupling of multivariable nonlinear systems. And the pseudolinear composite systems show good dynamic performance. © 2019 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc.
Published Version
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