The aim of this paper is to test the usefulness of a new approach based on partial feedback linearization to control the Pendubot. The control problem stated in the article is to stabilize the Pendubot in the upright position. In particular, properties of the closed-loop system and the zero dynamics are investigated and illustrated by results of simulations. Next, the performance of a hybrid-like controller in the case of input saturation is evaluated by conduction extensive simulation trails. The experimental results suggest that the considered control methodology can be successfully applied for a real system.

This paper presents a solution for universal multidrive control system, which can be used as a base for the rapid prototyping of various kinematic structures, particularly in robotics, for multiple-axis synchronization tasks, or as a test bed for verification of modern control algorithms for electric drives. The example of the practical application of the proposed system was also given: It was used during prototyping process of a quadruped walking robot, powered by multiple electric motors. The abilities and performance of the system were verified with the attempt to realize the dynamic gait of the robot.

This paper considers the issue of linear-quadratic regulator (LQR) design for nonlinear systems with the use of smooth state and input transformations. The proposed design methodology is considered in the stabilisation task of the Pendubot, which is based on the concept of feedback equivalent control systems. It turns out that it is possible to find a controller that ensures comparable dynamics of the closed-loop system in the vicinity of the set point regardless of the state-space representation adopted. In addition, the synthesis of suboptimal controllers according to the LQR strategy ensuring equal dynamics at the equilibrium point is presented. The properties of the studied controllers were investigated in a simulation environment and using experimental tests. The detailed forms of transformations and linear approximations given can be regarded as ready-made procedures that can be applied to stabilise similar mechanical systems in robotics.

The aim of this article is to present the preliminary results of work aimed at developing a system for analyzing and designing a gait of a walking bipedal robot, based on biological data. Authors want to create a stable periodic orbit for the 4-link robot, on the basis of human data. Biological data acquisition was made with a use of the Optitrack vision system and the Matlab environment. Generated trajectories form the reference data for creating sets of output functions, and consequently for the controller design, whose task will be to achieve a stable gait of a robot.