Linear-Quadratic Optimal Boundary Control of a One-Link Flexible Arm

Adaptive nonlinear control of one-link flexible arm

When a flexible arm is r o t a t e d b y a motor a b o u t an axis th rough the arm's fixed end , t ,ransverse vibrat ion may occur. The motor t o r q u e should be controlled in such a way that t h e motor rotates b y a specified angle, while simultaneously stabil izing v ibra t ion of t h e flexible arm so that it is arrested at t h e end of rotat ion. In this paper, we propose determinis t i...

Force Control and Exponential Stability for One-link Flexible Arm

We discuss a force control problem for a constrained one-link flexible arm based on distributed parameter model. In order to solve the force control problem, we propose a simple feedback control law. This control law consists of bending moment at the root of the flexible arm and its derivative, which regulates simultaneously the force and the rotational angle of the motor without the angle and ...

Optimal Linear Quadratic Control

Linear Quadratic Optimal Control

In previous lectures, we discussed the design of state feedback controllers using using eigenvalue (pole) placement algorithms. For single input systems, given a set of desired eigenvalues, the feedback gain to achieve this is unique (as long as the system is controllable). For multi-input systems, the feedback gain is not unique, so there is additional design freedom. How does one utilize this...

QFT Control of a Two-Link Rigid-Flexible Manipulator

This paper evaluates a new and simple controller design method based on QFT (quantitative feedback theory) for a two-link manipulator whose first link is rigid and the second is flexible. A piezoelectric patch is attached to the surface of the flexible link for vibration suppression of it. This system is modeled as a nonlinear multi-input multi-output (MIMO) control systems whose inputs are two...