In this paper, a novel biologically inspired neural network approach is proposed for real-time collision-free path planning and tracking control of a nonholonomic mobile robot in a nonstationary environment. The real-time robot trajectory with obstacle avoidance is generated by a topologically organized neural network, where the dynamics of each neuron is characterized by a shunting equation. T...

In this paper we present a new design method for the fight control of an autonomous quadrotor helicopter based on fuzzy sliding mode control using backstepping approach. Due to the underactuated property of the quadrotor helicopter, the controller can move three positions (x,y,z) of the helicopter and the yaw angle to their desired values and stabilize the pitch and roll angles. A first-order n...

In this paper, a nonlinear controller called the backstepping controller is applied to suppress the chaotic motion of a modified Chua’s circuit system. The new controller can drive the system to the exact reference state at any prescribed speed. Most importantly, the controller achieves global exponential stability in the sense that the attraction basin for the reference state is the entire sta...

A controller is presented for point stabilization of the extended chained form system. The extended chained form system can not be stabilized by means of continuous pure-state feedback. Moreover, it can not be exponentially stabilized by smooth feedback, since the linearization around equilibrium points is uncontrollable. In this paper, a controller is given that ρ-exponentially stabilizes the ...

Different from the previous work for quadrotor which mostly discusses application of different controllers to quadrotor control under normal flight conditions, this paper introduces a new design strategy which considers fault tolerant capability of the quadrotor control problems. By utilizing Passive Fault Tolerant Control Systems (PFTCS) concept with backstepping control approach, the trajecto...

This paper deals with the tracking control design for systems governed by linear parabolic partial differential equations with spatially and temporally varying coefficients and boundary input. For the boundary feedback control the backstepping method is applied, which allows to determine an exponentially stabilizing state feedback controller such that the closed-loop system behaves in the nomin...

We consider general nonlinear systems with time-varying input and state delays for which we design predictor-based feedback controllers. Based on a time-varying infinitedimensional backstepping transformation that we introduce, our controller achieves global asymptotic stability in the presence of a time-varying input delay, which is proved with the aid of a strict Lyapunov function that we con...

This paper represents a robust backstepping tracking control based on a Lyapunov redesign for Skid‐Steered Wheeled Mobile Robots (WMRs). We present kinematic and dynamic models that explicitly relate the perturbations to the skidding in order to improve the tracking performance during real running. A robust controller is synthesized in the backstepping approach ...