Abstract

The inverted pendulum has been considered a classical control problem. Two designs of inverted pendulum are planar and rotary with a nonlinear unstable system characteristic. Inverted pendulum systems are nonlinear. They can be used for testing and studying various observers and controllers. Control of a rotary inverted pendulum is studied here. This paper proposes stabilization of the rotary inverted pendulum at its upright position by using full-state controller. Full-state controllers are designed by using different damping ratios. MATLAB simulation results and the experimental results are taken for 10 degrees step for 5 seconds. The best controller is chosen for SRV02-Rotary inverted pendulum by looking at the simulation and experimental results.

Highlights

  • Inverted pendulum systems are treated as underactuated mechanical systems

  • Ozbek and Efe [4] focused on the swing up and stabilization control of a rotary inverted pendulum (RIP) system with linear quadratic regulator (LQR)

  • Inverted pendulum system has a great role in real application of engineering fields

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Summary

INTRODUCTION

Inverted pendulum systems are treated as underactuated mechanical systems. Different control algorithms are applied for solving swing-up control and stabilization problem. This makes the inverted pendulum problem one of the favorite topics for control problem. Mirsaeid and Zarei [2] presented a mechatronic system case study on adaptive modeling and control of an inverted pendulum. Genetic Algorithm (GA) was applied for the inner loop with PD controller forming the outer loop for balancing the pendulum in an inverted position. Ozbek and Efe [4] focused on the swing up and stabilization control of a rotary inverted pendulum (RIP) system with linear quadratic regulator (LQR). Mathew et al [9] performed a study on swing up and stabilization control of a RIP system. Four full-state controllers are designed by using MATLAB for the system stabilizing for linear dynamic model.

ROTARY INVERTED PENDULUM
MATHEMATICAL MODEL OF THE RIP
DESIGN OF A CONTROLLER - POLE PLACEMENT
The System Poles
The Desired Poles
Full-State Controller Coefficient – Pole Placement
THEORETICAL AND EXPERIMENTAL RESULTS
CONCLUSIONS
Full Text
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