Synthesis of Piecewise-Affine Controllers for Stabilization of Nonlinear Systems
نویسندگان
چکیده
This paper presents conditions under which the feedback interconnection of a nonlinear plant and a piecewise-affine controller is stable. The piecewise-affine controller is designed for a piecewise-affine approximation of the nonlinear dynamics. The design is based on previous work of the authors. The paper also shows how to use differential inclusions to design piecewise-affine controllers for stabilization of nonlinear systems. A numerical example is provided to illustrate the procedure.
منابع مشابه
Passivity-Based Stability Analysis and Robust Practical Stabilization of Nonlinear Affine Systems with Non-vanishing Perturbations
This paper presents some analyses about the robust practical stability of a class of nonlinear affine systems in the presence of non-vanishing perturbations based on the passivity concept. The given analyses confirm the robust passivity property of the perturbed nonlinear systems in a certain region. Moreover, robust control laws are designed to guarantee the practical stability of the perturbe...
متن کاملPresentation of quasi-linear piecewise selected models simultaneously with designing of bump-less optimal robust controller for nonlinear vibration control of composite plates
The idea of using quasi-linear piecewise models has been established on the decomposition of complicated nonlinear systems, simultaneously designing with local controllers. Since the proper performance and the final system close loop stability are vital in multi-model controllers designing, the main problem in multi-model controllers is the number of the local models and their position not payi...
متن کاملEnlarging Domain of Attraction for a Special Class of Continuous-time Quadratic Lyapunov Function Piecewise Affine Systems based on Discontinuous Piecewise
This paper presents a new approach to estimate and to enlarge the domain of attraction for a planar continuous-time piecewise affine system. Various continuous Lyapunov functions have been proposed to estimate and to enlarge the system’s domain of attraction. In the proposed method with a new vision and with the aids of a discontinuous piecewise quadratic Lyapunov function, the domain of attrac...
متن کاملExtension of local linear controllers to global piecewise affine controllers for uncertain non-linear systems
A two-step controller synthesis method is proposed in this paper for a class of uncertain nonlinear systems described by piecewise affine differential inclusions. In the first step, a robust linear controller is designed for the linear differential inclusion that describes the dynamics of the nonlinear system close to the equilibrium point. In the second step, a stabilizing piecewise affine con...
متن کاملDesign of a Novel Framework to Control Nonlinear Affine Systems Based on Fast Terminal Sliding-Mode Controller
In this paper, a novel approach for finite-time stabilization of uncertain affine systems is proposed. In the proposed approach, a fast terminal sliding mode (FTSM) controller is designed, based on the input-output feedback linearization of the nonlinear system with considering its internal dynamics. One of the main advantages of the proposed approach is that only the outputs and external state...
متن کامل