Abstract
The two-link inverted pendulum on cart (TLIPOC) is a widely known system having underactuation property. TLIPOC is a highly unstable and nonlinear system. The modelling of TLIPOC is obtained using Euler–Lagrangian approach. In this paper use of optimal control minimizing a quadratic cost functional is discussed. The aim of the paper is to stabilize the TLIPOC using linear quadratic regulator (LQR) technique. MATLAB simulations are used to show the efficiency and feasibility of proposed approach.
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