In this paper, a mathematical model of flexible single link robotic manipulator that has a rotational base and translational motion has been developed using lagrangian method. The control strategies like PID, LQR and State feedback controller have been implemented for controlling the tip position of flexible single link robotic manipulators through MATLAB. State feedback controller uses pole pl...

Flexible-link manipulators have high demand in many industrial and space applications. This is simply because they have many advantages over the rigid manipulators such as light weight, fast response time and large payload capacity. Optimal trajectories for a two-link rigid-flexible manipulator based on trajectory tracking and obstacle avoidance criteria are designed using Generalized Pattern S...

In present work the various aspects on mathematical modelling, stability and control strategies of flexible double link manipulator have been investigated. A mathematical model of flexible double link manipulator has been developed using lagrangian method. This mathematical model has been characterized using classical and modern control theories. Their time domain and frequency domain analysis ...

A technique using augmented sliding mode control for robust, real-time control of flexible multiple link robots is presented. For the purpose of controller design, the n-link, n-joint robot is subdivided into n single joint, single link subsystems. A sliding surface for each subsystem is specified so as to be globally, asymptotically stable. Each sliding surface contains rigid-body angular velo...

This paper is concerned with the problem of designing a robust adaptive controller for flexible joint robots (FJR). Under the assumption of weak joint elasticity, FJR is firstly modeled and converted into singular perturbation form. The control law consists of a FAT-based adaptive control strategy and a simple correction term. The first term of the controller is used to stability of the slow dy...

We introduce the notion of a flexible 2 -cell and use it to define invariants – link groups – of 4 -manifolds. Flexible cells combine some features of both surfaces and handlebodies, therefore the link group λ(M) measures certain aspects of the handle structure of a 4 -manifold M . This group is a quotient of the fundamental group, and we construct examples of manifolds M with π1(M) 6= λ(M) . M...

In this paper, the effect of normal impact on the mathematical modeling of flexible multiple links is investigated. The response of such a system can be fully determined by two distinct solution procedures. Highly nonlinear differential equations are exploited to model the falling phase of the system prior to normal impact; and algebraic equations are used to model the normal collision of this ...

In this research the sensitivity analysis of the geometric parameters such as: length, thickness and width of a single link flexible manipulator on maximum deflection (MD) of the end effector and vibration energy (VE) of that point are conducted. The equation of motion of the system is developed based on Gibbs-Appel (G-A) formulation. Also for modeling the elastic property of the system the ass...