Wheeled inverted pendulum (WIP) systems provide agile motion and energy-efficient locomotion through the wheels. However, they suffer from undesirable wheel motion for the acceleration and change of friction by the surface conditions. This paper presents a wheeled inverted pendulum with a fan (WIPF) that incorporates a fan thrust for the additional force for the control of traditional WIP systems. The WIPF is fully actuated by the wheel torque and the fan thrust, enabling the system to achieve enhanced balancing. The dynamics of the proposed system are analyzed and modeled for the control of the system with a linear quadratic regulator (LQR). The performance and characteristics of the WIPF are studied by simulations and experiments. WIPF showed enhanced balancing in step response for a desired position and improved impact robustness. Moreover, it achieved simultaneous control of the wheel position and body tilt angle, which is not attainable in traditional WIP systems.

병렬형 도립진자를 수학적으로 모델링하고 주파수 응답법에 의해 파라미터를 동정하여, H∞제어이론 중 혼합감도문제에 의거하여 제어계를 설계한 후 응답 시뮬레이션을 한 결과그 응답으로부터 모델링의 불확실성에 대처할 수 있는 강인한 제어계를 구성할 수 있었다. 앞으로 실제 시스템에 대하 s제어들 과제로 남겨두고 있다. 시뮬레이션 응답과는 달리 실제 으답실험에서도 좋은 결과를 얻기 위해서는 여러 가지의 어려움이 있을 것으로 예상된다. 특히 응답 시뮬레이션에서도 나타난 바와 같이 전자가 미소각으로 기울어진 상태에서 제어를 할 경우에도 각 상태의 변동량이 크고, 또한 상당한 제어입력을 요한다. 따라서 센서 잡음에 대한 영향을 충분히 고려할 필요가 있으므로, 노이즈를 많이 발생시키는 PWM방식의 직류모터 구동 드라이버보다는 선형 드라이버를 이용하는 것이 적절할 것으로 예상된다

The inverted pendulum is one of the control mechanism that has been frequently used to verify the control theory in the laboratory. In this paper, the author made an inverted pendulum driven by DC servomotor with a simple DC motor drive circuit, and constituted a control system. The control mechanism is modeled, and identified parameters of inverted pendulum system by experimental method. The author used the LQ regulator as control algorithm and the minimum order observer algorithm to observe states that can not be measured. And the validity of parameter identification and the excellent performance of the control system designed by LQR are confirmed

The purpose of this study is to develop a motion generation technique based on a double inverted pendulum model (DIPM) that learns and reproduces humanoid robot (or virtual human) motions while keeping its balance in a pattern similar to a human. DIPM consists of a cart and two inverted pendulums, connected in a serial. Although the structure resembles human upper- and lower-body, the balancing motion in DIPM is different from the motion that human does. To do this, we use the motion capture data to obtain the reference motion to keep the balance in the existence of external force. By an optimization technique minimizing the difference between the motion of DIPM and the reference motion, control parameters of the proposed method were learned in advance. The learned control parameters are re-used for the control signal of DIPM as input of linear quadratic regulator that generates a similar motion pattern as the reference. In order to verify this, we use virtual human experiments were conducted to generate the motion that naturally balanced.

The Industrial Ethernet technology enables advanced control architectures and offers several advantages for high precision multiple motors actuation. This paper presents the implementation and analysis of a motor drive with EtherCAT, an industrial standard for real time Ethernet. Considering the characteristics of the implemented software and the network interface, the motion and time-response of motor actuation for the networked Mobile Inverted Pendulum have been analyzed. Using the analysis with the task execution times measured from the developed drive, the performance characteristics of the drive in respect of the maximum achievable throughput have been verified by comparing to the conventional RS232.

An augmented state feedback controller for a Wheeled Inverted Pendulum (WIP) is proposed in this research. The augmented state feedback controller is able to keep the WIP returning to the origin. Generally, the WIP has both stable and unstable equilibrium points. To keep the WIP over the unstable equilibrium point, the WIP consistently is being controlled. A simple state feedback controller is letting the WIP out of the origin when the center of gravity of the WIP locates out of the schematic center line. In some case of applications, it may not be desirable that the WIP is drifting out of the initial location. The proposed augmented state feedback controller is able to keep the WIP at the initial location whether its center of gravity lies out of the center line or not. Numerical simulations are carried out to show the validation of the augmented sated feedback controller.

This paper proposes an optimal ARS control of a two-wheel mobile inverted pendulum robot. Conventional researches are highly concentrated on the robust control of a mobile inverted pendulum on the flat ground, i.e., mostly focus on the compensation of gyroscope signals. This newly proposed algorithm deals with a climbing control of a slanted surface based on the dynamic modeling using the conventional structure. During the climbing control of the robot, unexpected disturbance forces are essentially caused by the irregular contact force which comes from the irregular contact angle between the wheel and the terrain. The disturbances have effects on the optimal posture of the mobile robot to compensate the slanted angle. Therefore the dynamics equations through physical interpretation are derived for the selection of optimum climbing posture through ARS. Also using the ultrasonic sensor the slope information is obtained to compensate for the force of gravity. The control inputs are dynamically adjusted to climb up the slanted surface effectively. The proposed algorithm is demonstrated through the real experiments.

This paper aims to add the autonomous driving capability to the inverted pendulum system which maintains the inverted pendulum upright stably. For the autonomous driving from the starting position to the goal position, the motion control algorithm is proposed based on the dynamics of the inverted pendulum robot. To derive the dynamic model of the inverted pendulum robot, a three dimensional robot coordinate is defined and the velocity jacobian is newly derived. With the analysis of the wheel rolling motion, the dynamics of inverted pendulum robot are derived and used for the motion control algorithm. To maintain the balance of the inverted pendulum, the autonomous driving strategy is derived step by step considering the acceleration, constant velocity and deceleration states simultaneously. The driving experiments of inverted pendulum robot are performed while maintaining the balance of the inverted pendulum. For reading the positions of the inverted pendulum and wheels, only the encoders are utilized to make the system cheap and reliable. Even though the derived dynamics works for the slanted surface, the experiments are carried out in the standardized flat ground using the inverted pendulum robot in this paper. The experimental data for the wheel rolling and inverted pendulum motions are demonstrated for the straight line motion from a start position to the goal position.