The mobility of people who have had a lower limb amputated is slower, less stable, and needs more metabolic energy than the movement physically fit, also, often difficulty moving on uneven terrain stairs. In most cases, these problems may be traced back to usage controllers for an above-knee prosthesis, which enhances quality life millions individuals lost limbs. this work addresses dynamic mod...

In this paper, we present a new scheme to design adaptive controllers for uncertain systems containing nonsmooth nonlinearities in the actuator device. The control design is achieved by introducing certain well defined sign functions and Neural Networks approximations and by using the backstepping technique. For the design and implementation of the controller, no knowledge is assumed on the unk...

A nonlinear feedback path controller for a differential drive mobile robot is presented in this paper. First, a kinematic model in error coordinates expressed in a moving reference frame partially linked to the robot is developed. The control law is designed using backstepping method yielding exponential stability of the closed-loop system. Stability analysis is performed via Lyapunov stability...

Robust nonlinear controller design with constraint on the poles' location of the linear part of closed-loop system is proposed. The design method is based on the integrator backstepping procedure and linear constrained ∞ H for nonlinear strictfeedback systems with disturbance also in strict-feedback form. The resulted closedloop system will be globally stable, while both local robustness and de...

This paper investigates the problem of global stabilization by state feedback for a class of uncertain nonholonomic systems in chained form with partial inputs saturation. By using input-state-scaling technique and backstepping recursive approach, a state feedback control strategy is presented. With the help of a switching control strategy, the designed controller renders that the states of clo...

This paper presents an adaptive fuzzy controller for a class of completely pure-feedback nonlinear systems. Takagi-Sugeno type fuzzy logic systems are used to approximate the unknown nonlinear functions. The controller synthesis is developed by the backstepping technique and the small gain approach. The closed-loop control system is proved to be semi-globally uniformly ultimately bounded (SGUUB...

This paper investigates the problem of global stabilization by state feedback for a class of uncertain nonholonomic systems in chained form with partial inputs saturation. By using input-state-scaling technique and backstepping recursive approach, a state feedback control strategy is presented. With the help of a switching control strategy, the designed controller renders that the states of clo...

This paper presents a new fuzzy Lyapunov controller for nonholonomic mobile vehicles. A symbiosis between classical backstepping techniques and fuzzy logic was realized. The control system ensures a good robustness with respect to outside perturbations. These perturbations can interact with the vehicle. They are sources of uncertainty for the system model and can perturb the validity of the non...

Abstract: Performance control law is studied for an interconnected fractional nonlinear system. Applying a backstepping algorithm, a backstepping sliding mode controller (BSMC) is developed for fractional nonlinear system. To improve control law performance, BSMC is coupled to an adaptive sliding mode observer have a filtered error as a sliding surface. The both architecture performance is stud...

This paper presents an adaptive backstepping control method for trajectory tracking and stabilization of an omnidirectional wheeled mobile robot with parameter variations and uncertainties caused by friction and slip. The dynamic model of the robot with three independent driving omnidirectional wheels equally spaced at 120 degrees from one another is briefly introduced. With the dynamic model, ...