This paper presents different types of mathematical modelling of Inverted Pendulum and also a Proportional-Intregal-Derative (PID) controller is designed for its stabilization. After desiging of PID controller some reference stable system has been selected and then different types of error has been optimized (minimized) by using Genetic algorithms. The proposed system extends classical inverted...

We extend the method of controlled Lagrangians (CL) to include potential shaping, which achieves complete state-space asymptotic stabilization of mechanical systems. The CL method deals with mechanical systems with symmetry and provides symmetry-preserving kinetic shaping and feedback-controlled dissipation for state-space stabilization in all but the symmetry variables. Potential shaping compl...

In this paper we introduce a practical algorithm for computing an optimal feedback control for nonlinear systems. The algorithm that we present computes a sequence of suboptimal controls that converge to the optimal. We demonstrate the features of the algorithm by three simple examples including the optimal nonlinear feedback control of an inverted pendulum.

Capturability of a robot determines whether it is able to capture a robot within a number of steps. Current capturability analysis is based on stance leg dynamics, without taking adequate consideration on swing leg. In this paper, we combine capturability-based analysis with swing leg dynamics. We first associate original definition of capturability with a timemargin, which encodes a time seque...

We consider a special class of port-Hamiltonian systems for which we propose a design methodology for constructing globally exponentially stable full-order observers using a passivity based approach. The essential idea is to make the augmented system consisting of the plant and the observer dynamics to become strictly passive with respect to an invariant manifold defined on the extended state-s...

Passive dynamic walking refers to a class of bipedal machines that are able to walk down a gentle slope with no external control or energy input. The legs swing naturally as pendula, and conservation of angular momentum governs the contact of the swing foot with the ground. Previous machines have been limited to planar motions. We extend the planar motions to allow for tilting side to side (rol...

This paper describes the real-time modeling of 3D skeletal motion with balancing properties. Our goal is to mimic human responsiveness when external forces are applied to the model. To achieve this we use an inverted pendulum as a basis for achieving a self-balancing model. We demonstrate responsiveness in stepping and posture control via a simplified biped skeletal model using our technique.

In this paper I am discussing the modeling and simulation study of basically two control strategies of an inverted pendulum system are presented. The inverted pendulum represents a challenging control problem, which continually moves toward an uncontrolled state. Certain modern techniques are now available because of the development of artificial intelligence and soft computing methods. Fuzzy c...

This paper presents tele-operated control of an inverted pendulum system for intelligent control education. Position commands for the pendulum to follow are given by a joystick through network. The pendulum is controlled by two methods; a PID control method and a neural network control method. Results are compared by experimental studies.