Nonlinear Uncertain HIV-1 Model Controller by Using Control Lyapunov Function

Lyapunov-based switching supervisory control of nonlinear uncertain systems

Control Lyapunov Functions: New Framework for Nonlinear Controller Design

Control Lyapunov function (CLF) is a successful attempt to directly use of the Lyapunov function stability analysis technique of nonlinear systems in the synthesis problem. In this paper, on the basis of Freeman’s work (1996), the concept of CLF are re-analyze through using the method of set-valued analysis. And then, a new CLF based nonlinear controller design framework, called generalized poi...

Intelligent hybrid control for uncertain nonlinear systems using a recurrent cerebellar model articulation controller - Control Theory and Applications, IEE Proceedings-

An intelligent hybrid control scheme, using an adaptive recurrent cerebellar model articulation controller (CMAC), is developed for a class of nonlinear dynamical systems. In this control system, an adaptive recurrent CMAC is used as the main tracking controller which mimics a perfect control law, and a compensated controller is designed to compensate for the difference between the perfect cont...

Robust H∞ Control for Neutral Uncertain Switched Nonlinear Systems using Multiple Lyapunov Functions ?

This paper focuses on the problem of robust H∞ control for a class of switched nonlinear systems with neutral uncertainties via the multiple Lyapunov function approach. Uncertainties are allowed to appear in channels of state, control input and disturbance input. Conditions for the solvability of the robustH∞ control problem and design of both switching law and controllers are presented. As an ...

Construction of strict Lyapunov function for nonlinear parameterised perturbed systems

In this paper, global uniform exponential stability of perturbed dynamical systems is studied by using Lyapunov techniques. The system presents a perturbation term which is bounded by an integrable function with the assumption that the nominal system is globally uniformly exponentially stable. Some examples in dimensional two are given to illustrate the applicability of the main results.