A Adaptive Robust H for
Inverted Pendulum System Based on
Sliding Mode Control ∞ The control method is to construct a generalized
system model with
system parameter uncertainty, time-varying
delay, unmodeled dynamics, and external disturbance for the
inverted pendulum system, add augmented state variables to the generalized
system model and perform state augmentation transformation, Based on the parameters and state information after the augmented transformation, the sliding mode surface is designed and the sliding mode is derived. According to the sliding mode, it is stable and satisfies H ∞ The
linear matrix inequality condition of the
performance index calculates the
gain matrix, uses the obtained
gain matrix for the sliding mode surface and controller configuration, and finally updates the adaptive rate-based sliding mode controller to stabilize the
inverted pendulum system, and realizes disturbance and unmodeled dynamics bounded
estimation and self-correction. The invention complements the advantages of various control means, adopts a universal and effective model, and has a wider application range, and can achieve
good control effects under complex working conditions including all influencing factors at the same time.