Abstract
An improved linear matrix inequality (LMI) model is proposed to investigate the dynamic behaviors of inverted-pendulum under microgravity environments. In this model, Takagi–Sugeno (T–S) fuzzy method and parallel distributed compensation (PDC) technique are used to design the robust pole-placement controller. A set of linear matrix inequalities are utilized to keep the linear model poles in a range of specified region of complex plane, as well as a fuzzy state feedback controller is utilized to keep the stability and the desired transient responses. Numerical results showed that the stabilization of inverted pendulum is greatly affected by gravity conditions and the largest effect factor is angular position. Under microgravity conditions, inverted pendulum is easier to keep a balance status and stable time is about 18.0 s, nearly 3.0 times than those of earth gravity.
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