Adaptive nonlinear dynamical initialization

A Direct Adaptive Neural-Network Stabilization for Nonlinear Dynamical Systems

In this paper a direct adaptive neural-network stabilization strategy for a dynamical system around an equilibrium point, when the state of the system is accessible is presented. The system considered is described by a feedforward neural network model. Taking the neural network as a neuro model of the system, control signals are directly obtained by minimizing the instant difference between an ...

Direct Adaptive Control for Nonlinear Uncertain Dynamical Systems

Adaptive Four Legged Locomotion Control Based on Nonlinear Dynamical Systems

Dynamical systems have been increasingly studied in the last decade for designing locomotion controllers. They offer several advantages over previous solutions like synchronization, smooth transitions under parameter variation, and robustness. In this paper, we present an adaptive locomotion controller for four-legged robots. The controller is composed of a set of coupled nonlinear dynamical sy...

Adaptive hybrid intelligent control for uncertain nonlinear dynamical systems

A new hybrid direct/indirect adaptive fuzzy neural network (FNN) controller with a state observer and supervisory controller for a class of uncertain nonlinear dynamic systems is developed in this paper. The hybrid adaptive FNN controller, the free parameters of which can be tuned on-line by an observer-based output feedback control law and adaptive law, is a combination of direct and indirect ...

Comment on "Adaptive steady-state stabilization for nonlinear dynamical systems".

Instead of the problematic reasoning presented in the work of D. J. Braun [Phys. Rev. E 78, 016213 (2008)], a rigorous argument is provided to show the validity of the adaptive controller proposed by Braun under some particular assumptions. Without these assumptions, this controller may be failed to stabilize the unsteady state, which is numerically shown by specific examples. Also, the choice ...