This paper focuses on the cooperative adaptive fuzzy control of high-order nonlinear multi-agent systems. The communication network is a undirected graph with a fixed topology. Each agent is modeled by a high-order integrator incorporating with unknown nonlinear dynamics and an unknown disturbance. Under the backstepping framework, a robust adaptive fuzzy controller is designed for each agent s...

In this paper we present a PID+ solution to the problem of relative translational and rotational tracking, using the concept of integrator backstepping. By using an integrator augmentation technique, we include integral effect in the controller to account for the unknown orbital perturbations. The controller solution utilizes the quaternion representation to achieve a shorter rotation path on c...

this paper investigates on control and stabilization of a new hyperchaotic system. the hyperchaotic system is stabilized using a new technique which called generalized backstepping method (gbm). because of its similarity to backstepping approach, this method is called gbm. but, this method is more applicable in comparison with conventional backstepping.  backstepping method is used only for sys...

This paper considers the topic of formation control for fully actuated ships. Within a leader-follower framework, a so-called guided formation control scheme is developed by means of a modular design procedure inspired by concepts from integrator backstepping and cascade theory. Control, guidance, and synchronization laws ensure that each individual formation member is able to converge to and m...

This chapter provides an introduction to semi active control of base isolated buildings using magnetorheological (MR) dampers. Recently developed nonlinear control algorithms are discussed. First a fuzzy logic control (FLC) is designed to decide how much voltage is required to be supplied to the MR damper for a desired structural response. The FLC is optimized using micro genetic algorithm. A n...

A mathematical model of cerebral blood flow in the form a dynamical system is studied. The autoregulation modeling problem treated as nonlinear control and potential applicability theory techniques are analyzed this respect. It shown that hemodynamics question differentially flat. Then, integrator backstepping approach combined with barrier Lyapunov functions applied to construct laws recover p...

This paper presents a novel formulation of the flight dynamic equations that permits a rapid solution for the design of trajectory following autopilots for nonlinear aircraft dynamic models. A robust autopilot control structure is developed based on the combination of the good features the Nonlinear Dynamic Inversion (NDI) method, Integrator Backstepping method, Time Scale separation and Contro...

This paper presents an online data-driven composite adaptive backstepping control for a class of parametric strict-feedback nonlinear systems with mismatched uncertainties, where both tracking errors and prediction errors are utilized to update parametric estimates. Hybrid exact differentiators are applied to obtain the derivatives of virtual control inputs such that the complexity problem of i...

This note contributes to the technical nature of dynamic surface control (DSC) based on a class of strict-feedback nonlinear systems. The DSC technique prevents the complexity problem in integrator backstepping control (IBC). Yet, the stability results obtained by existing DSCs are conservative, and consequently, cannot fully reveal the technical nature of DSC. By the exploitation of the singul...

This paper addresses analysis and design issues in adaptive PID control for linear second order minimal phase processes using the backstepping algorithm. The first step consists in adding an integral action to the basic backstepping algorithm to obtain a zero static error. An integrator is therefore added to the plant model and is then slid back to the controller equation at the end of the desi...