Controlling chaos via second-order sliding modes
نویسندگان
چکیده
The problem of ordering chaos by second-order sliding-mode control is addressed. The proposed approach offers an effective, yet simple, solution tackling both the uncertainties affecting the chaotic dynamics and the measurement noise corrupting the feedback signals. The procedure is illustrated making reference to Chua's circuit and the “suboptimal” second-order sliding-mode control algorithm. Simulations are provided to confirm the good performance and robustness of the proposed scheme.
منابع مشابه
Global Finite Time Synchronization of Two Nonlinear Chaotic Gyros Using High Order Sliding Mode Control
In this paper, under the existence of system uncertainties, external disturbances, and input nonlinearity, global finite time synchronization between two identical attractors which belong to a class of second-order chaotic nonlinear gyros are achieved by considering a method of continuous smooth second-order sliding mode control (HOAMSC). It is proved that the proposed controller is robust to m...
متن کاملDesign of Fractional Order Sliding Mode Controller for Chaos Suppression of Atomic Force Microscope System
A novel nonlinear fractional order sliding mode controller is proposed to control the chaotic atomic force microscope system in presence of uncertainties and disturbances. In the design of the suggested fractional order controller, conformable fractional order derivative is applied. The stability of the scheme is proved by means of the Lyapunov theory based on conformable fractional order deriv...
متن کاملRobust Stabilization of a Class of Uncertain Fractional-order Chaotic Systems via a Novel Sliding Mode Control Scheme
This paper proposes a novel sliding mode control (SMC) scheme to stabilize a class of fractional-order chaotic systems. Through constructing two sliding mode variables, the control problem of n-dimensional system can be transformed to the equivalent stabilizing problem of a reduced-order system. Subsequently, on the basis of second-order sliding mode (SOSM) technique, a robust control law is de...
متن کاملSliding Mode Control of Grid Chaotic Oscillation based on Immune Algorithm
The bifurcation and chaos phenomenon which exist in power grid are threats to the stable operation of power grid and the safety of people and equipment. In order to eliminate the chaos phenomena in power grid, a kind of non-singular terminal sliding mode (NTSM) variable structure control method based on immune algorithm is put forward. The second-order model of grid chaotic oscillation is built...
متن کاملExit from sliding in piecewise-smooth flows: Deterministic vs. determinacy-breaking.
The collapse of flows onto hypersurfaces where their vector fields are discontinuous creates highly robust states called sliding modes. The way flows exit from such sliding modes can lead to complex and interesting behaviour about which little is currently known. Here, we examine the basic mechanisms by which a flow exits from sliding, either along a switching surface or along the intersection ...
متن کامل