Geometric structure of multiple time-scale nonlinear systems

Geometric Structure of Multiple Time-scale Nonlinear Systems

The geometric structure of nite-dimensional nonlinear systems with dynamics on multiple time-scales is studied by analyzing the time-scale structure present in the associated linear variational system which evolves on the tangent bundle to the state-space. As a rst step, we restrict our attention to a chosen reference orbit of the nonlinear system and analyze the time scales of the linear time-...

Neural adaptive control for nonlinear multiple time scale dynamic systems

Adaptive control of nonlinear systems has been an active area in recent years, but it is difficult to control unknown plants. A common approach to deal with this problem is to utilize the simultaneous identification technique. Neural networks have been employed in the identification and control of unknown nonlinear systems owing to their massive parallelism, fast adaptation and learning capabil...

Neural adaptive control for nonlinear multiple time scale dynamic systems

A Variable Structure Observer Based Control Design for a Class of Large scale MIMO Nonlinear Systems

This paper fully discusses how to design an observer based decentralized fuzzy adaptive controller for a class of large scale multivariable non-canonical nonlinear systems with unknown functions of subsystems’ states. On-line tuning mechanisms to adjust both the parameters of the direct adaptive controller and observer that guarantee the ultimately boundedness of both the tracking error and tha...

Decentralized Adaptive Control of Large-Scale Non-affine Nonlinear Time-Delay Systems Using Neural Networks

In this paper, a decentralized adaptive neural controller is proposed for a class of large-scale nonlinear systems with unknown nonlinear, non-affine subsystems and unknown nonlinear time-delay interconnections. The stability of the closed loop system is guaranteed through Lyapunov-Krasovskii stability analysis. Simulation results are provided to show the effectiveness of the proposed approache...