In order to explore the essence of structural controllability, structural controllability of inverted pendulum is analyzed in this presented study and a sufficient controllability condition of a class of perturbed linear system is obtained, which is essential to prove the structural controllability for the perturbed inverted pendulum. Two different structured models of inverted pendulum are con...

_ Inverted pendulum control is one of the fundamental and interesting problems in the field of control theory. This paper describes the steps to design various controllers for a rotary motion inverted pendulum which is operated by a rotary servo plant, SRV 02 Series. Nonlinear model of the rotary inverted pendulum and linear model (Upright) in the neighborhood of an equilibrium state are descri...

The standard harmonic balance method consists in expanding the displacement of an oscillator as a Fourier cosine series in time. A key modification is proposed here, in which the conservative force is additionally expanded as a Fourier sine series in space. As a result, the steady-state oscillation frequency can be expressed in terms of a Bessel series, and the sums of many such series are know...

The constrained Lagrangian and constrained Hamiltonian equations of motion for a general nonrelativistic classical mechanical system subject to rheonomous holonomic constraints are derived in an easy and straightforward manner. The numerical integration of the constrained equations of motion are discussed. It is shown how constraint errors introduced by the numerical integration can be avoided ...

The spring-loaded inverted pendulum (SLIP) is a simple, passivelyelastic two-degree-of-freedom model for legged locomotion that describes the center-of-mass dynamics of many animal species and some legged robots. Conventionally, SLIP models employ a single support leg during stance and, while they can exhibit stable steady gaits when motions are confined to the sagittal plane, threedimensional ...

The problem of swinging the Furuta pendulum up is usually solved by a hybrid controller where the global problem is broken down into two steps. First, an injection of energy leads the pendulum near the upright position. Then the pendulum is stabilized at this position. In this paper, different control strategies for both problems are analyzed both by simulation and using an actual laboratory pe...

In this paper a pendulum of two degrees of freedom is investigated, i.e. a spherical pendulum which is attached to the end effector of an industrial robot manipulator. The result of the presented research is a controllable transport of the pendulum in all three dimensions. That means a real time control of the pendulum during all the time of the transport and a stable reaction of suddenly chang...

The spring-loaded inverted pendulum (SLIP) is a simple, passivelyelastic two-degree-of-freedom model for legged locomotion that describes the center-of-mass dynamics of many animal species and some legged robots. Conventionally, SLIP models employ a single support leg during stance and, while they can exhibit stable steady gaits when motions are confined to the sagittal plane, threedimensional ...

Control of systems with time delay is difficult as compared to simple process control. Numerous parameters estimation techniques for the control implementation of non-linear systems with time delays are available in literature, but these techniques become cumbersome while tuning the system, due to complex calculation structure and wide ranges for tuning parameters. This paper describes and exam...