In this study of the nonlinear H∞-optimal control design for strict-feedback nonlinear systems our objective is to construct globally stabilizing control laws to match the optimal control law up to any desired order, and to be inverse optimal with respect to some computable cost functional. Our recursive construction of a cost functional and the corresponding solution to the Hamilton-Jacobi-Isa...

The paper presents the design of a mini-UAV attitude controller using the backstepping method. Starting from the nonlinear dynamic equations of the mini-UAV, by using the backstepping method, the authors of this paper obtained the expressions of the elevator, rudder, and aileron deflections, which stabilize the UAV at each moment to the desired values of the attitude angles. The attitude contro...

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...

The aim of this work is to compute a level backstepping control strategy for a coupled tanks system. The coupled tanks plant is a component included in the water treatment system of power plants. The nonlinear-model of the process was designed and implemented in MatlabSimulink. The advantages of the control method proposed is that it takes into consideration the nonlinearity which can be useful...

-In this paper we present a new control structure to extract the maximum power of a wind energy conversion system based on the double fed induction generator (DFIG). The proposed algorithm combines the nonlinear Backstepping approach and the field orientation scheme applied to control the rotor side converter (RSC) and the grid side converter (GSC) of the DFIG. The proposed strategy is asymptot...

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, ...