Sliding Mode Control of Chaos in a Single Machine Connected to an Infinite Bus Power System

Abstract

This paper deals with the control of chaos in a power system. A fourth-order model is adopted for the power system. Three controllers are proposed to suppress the chaos and avoid voltage collapse. The controllers are a feedback linearization controller, a conventional sliding mode controller, and a second-order super-twisting sliding mode controller. It is shown that the proposed controllers guarantee the convergence of the states of the system to their desired values. Simulations studies are presented to show the effectiveness of the proposed control schemes.

Adaptive Sliding Mode Control Based on Equivalence Principle and Its Application to Chaos Control in a Seven-Dimensional Power System

“…Some scholars have also designed chaos controllers for a classical four-dimensional power system model. At present, the main control methods proposed for the model include finite-time feedback control [14], finite-time integral sliding mode control [15], finite-time passive control [16], chattering-free time scale separation sliding mode control [17], fixed-time integral sliding mode control [18], feedback linearization based sliding mode control [19], discrete time sliding mode control [20], fractional order sliding mode control [21], fast fixed-time nonsingular terminal sliding mode control [22], and fixed-time dynamic surface highorder sliding mode control [23]. However, it is worth noting that most of these controllers are abstract control inputs without considering realizability of the controller and there are also too many control inputs (see [14][15][16][17][18][19][20][21]), which make the proposed control methods impractical.…”

Chaos Suppression in Uncertain Generalized Lorenz–Stenflo Systems via a Single Rippling Controller with Input Nonlinearity

“…It has also been mentioned that the Lorenz model can depict many different engineering systems, for example, laser devices, the disk dynamics and some issues concerned with convection [3,4]. Due to extensive applications of chaotic systems in solving engineering problems, controlling the complex dynamics of chaotic systems has emerged as an attractive issue for engineering applications and many profound control schemes as well methodologies can be found in the literature [2,[5][6][7][8][9][10][11][12]. Consequently, many different effective approaches have been presented to cope with the problems of control and stabilization for various classes of chaotic systems, for example, sliding mode control [5][6][7][8], backstepping design [9,10], optimal control [11,12], etc.…”

“…Motivated as mentioned before, the goal of the research is to propose a robust controller to suppress the chaotic behaviors for 4D generalized Lorenz-Stenflo systems subjected to matched/mismatched uncertainties and input nonlinearity. Contrary to previous works [5][6][7][8][9][10][11][12]14] for chaos suppression control, we will consider the input nonlinearity which will always exist in circuit realization for control input. Furthermore, a new control concept called rippling control is introduced for control design.…”

Nonlinear adaptive control with integrated performances for waverider

“…On the contrary, there are some novel control strategies presented to improve transient performances of the closed system, such as the improved PD-type iterative learning control technique, 6 robust adaptive control technique, 7 –10 composite nonlinear feedback control technique, 11 integral sliding mode control technique, 12 –16 and variant-factor technique. 17 However, these control schemes are difficult to directly employ for the nonlinear model of waveriders which have complex flight properties, including strong coupling dynamics, unstable mode, and strong uncertainties.…”