This paper proposes a new method for controlling counter-rotation pendulum equilibrium (RIP)—a complex nonlinear system with unstable kinetics, using a Hedge Algebras (HA) algebra controller. HA combines algebraic theory with fuzzy logic, creating a new paradigm in linguistic information processing for control systems. Developed from the fuzzy controller (FLC) foundation, HA exhibits the advantage of computational time and ensures a tight order of quantitative semantic values. In the application for RIP, HA uses language variables to accurately describe the dynamic state of the system, including the tilt angle of the swing bar and the angular speed of the rotary arm. Simulation were conducted to evaluate the performance of the proposed HA controller, compared with the traditional FLC. The results show that HA exhibits stronger responsiveness, with faster settling times and lower bounces.