In this paper, a nonlinear model predictive swing-up and stabilizing sliding controller is proposed for an inverted pendulum-cart system. In the swing up phase, the nonlinear model predictive control is formulated as a nonlinear programming problem with energy based objective function. By solving this problem at each sampling instant, a sequence of control inputs that optimize the nonlinear obj...

We revisit a previous high-low gain control idea for a 4 DOF spherical inverted pendulum using a different approach, inspired by a nested saturation tool proposed by Marconi and Isidori, that provides explicit tuning rules to deal with certain bounded external disturbances. The update controller is a robust, decentralized and “global” controller.

Balance control of a simulated inverted pendulum attached to a circular base is presented. This type of platform is analogous to a biped robot with circular soled feet in single support phase. Circular feet have been shown to be more energy efficient than flat feet during walking, and in this paper we present another advantage, where circular feet do not suffer from ground separation when apply...

Exact feedback linearization converts any system into appropriate form such that the controller design becomes convenient for the system. In this technique, control algorithm is developed based on exact feedback linearization through energy control. This approach is applicable to under actuated in which single control input, acceleration of cart, controlled the angle and position of cart. This ...

In this paper, we report on a new stability analysis for hybrid legged locomotion systems based on factorization of return maps. We apply this analysis to a family of models of the Spring Loaded Inverted Pendulum (SLIP) with different leg recirculation strategies. We obtain a necessary condition for the asymptotic stability of those models, which is formulated as an exact algebraic expression d...

This paper presents an interactive locomotion controller using motion capture data and an inverted pendulummodel (IPM). The motion data of a character is decomposed into those of upper and lower bodies, which are then dimension-reduced via what we call hierarchical Gaussian process dynamical model (H-GPDM). The locomotion controller receives the desired walking direction from the user. It is in...

Interval type-2 fuzzy logic system; Interval type-2 fuzzy PID controller; Inverted pendulum system; Hardware-in-the-loop (HIL) simulation Abstract In this study, we propose an embedded real-time interval type-2 fuzzy proportional – integral – derivative (IT2F-PID) controller which is a parallel combination of the interval type-2 fuzzy proportional – integral (IT2F-PI) controller and the interva...

---------------------------------------------------------------------***--------------------------------------------------------Abstract The Self balancing robot is based on the inverted pendulum concept. In this concept an inverted pendulum is positioned on a cart and the cart is allowed to move on the horizontal axis and the pendulum is required to stand upright . This type of case is that of...

Many of the physical phenomena, like friction, backlash, drag, and etc., which appear in mechanical systems are inherently nonlinear and have destructive effects on the control systems behavior. Generally, they are modeled by hard nonlinearities. In this paper, two different methods are proposed to cope with the effects of hard nonlinearities which exist in friction various models. Simple inver...

Article history: Received 28 September 2016 Received in revised form 4 November 2016 Accepted 7 November 2016 Available online 13 November 2016 This project presents an application of a robust controller based on the "QParameterization" theory to control the motion of the common and well known problem in control engineering the " Two-Wheeled Inverted Pendulum" (TWIP). This controller is applied...