Abstract

Predictive functional control and multivariate PI predictive functional control is presented based on state space equation for non-linear, fast time-varying, multivariable coupling near-space vehicle attitude control system. Transforming nonlinear optimal problems into online optimization in the linear time-invariant systems and solve the control law in a rolling way. Lyapunov’s second stability theorem proved that the solved control law can ensure a certain degree of robustness of the closed-loop system. Tuning parameters of multivariable PI predictive functional controller based on particle swarm optimization algorithm. Designed near-space vehicle attitude controller and simulate it. Results show that both of the two control strategy can get good control performance, comparatively, multivariable PI predictive functional control has a better control effect. It has the advantages of non-overshoots, faster response, and smaller steady state error etc.

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