11 research outputs found
Optimal Sliding Surface Design for a Class of Nonlinear Systems
A method is introduced for optimal sliding surface design for a class of nonlinear systems. First, a nonlinear system is approximated as a linear time varying system and then an optimal sliding surface is designed for approximated system. The control input, which is designed by using approximated system, is then applied to the nonlinear system. It is shown that the approximated system's response converges to the nonlinear system's response
Adaptive control design for nonlinear systems via successive approximations
The paper presents an approach to the Model Reference Adaptive Control (MRAC) design for nonlinear dynamical systems. A nonlinear reference system is considered such that its response is designed to be stable via Successive Approximation Approach (SAA). Having designed the stable reference model through the SAA, MRAC is then formulated for nonlinear plant dynamics with a new adaptation rule to guarantee the convergence of the nonlinear plant response to that of the response of the nonlinear reference model. The proposed design methodology is illustrated with examples for different case studies. Copyright © 2017 ASME
Global Stabilization of Nonlinear Systems via Switching Manifolds
The globalization of nonlinear systems is considered by reducing the problem to a lower dimensional switching manifold which is made globally attracting. The method generalises the standard LYapunov approach
Adaptive control design for nonlinear systems via successive approximations
The paper presents an approach to the Model Reference Adaptive Control (MRAC) design for nonlinear dynamical systems. A nonlinear reference system is considered such that its response is designed to be stable via Successive Approximation Approach (SAA). Having designed the stable reference model through the SAA, MRAC is then formulated for nonlinear plant dynamics with a new adaptation rule to guarantee the convergence of the nonlinear plant response to that of the response of the nonlinear reference model. The proposed design methodology is illustrated with examples for different case studies. Copyright © 2017 ASME