Fixed-time dynamic surface high-order sliding mode control for chaotic oscillation in power system

Abstract

In this paper, a fixed-time dynamic surface high-order sliding mode control approach is presented for chaos suppression and voltage stabilization in three-bus power system via design of current source converter-based static synchronous compensator controller. The proposed control strategy constructs two high-order sliding mode surfaces to achieve control objective. By combining backstepping idea with dynamic surface control (DSC) technique, highorder sliding mode controller is designed and the inherent problem of "explosion of complexity" in backstepping design is avoided. Further, a new stability concept is introduced into DSC design to achieve semiglobal uniform ultimate boundedness of the signals in high-order sliding mode system within finite time independent of initial condition. In addition, stability analysis is provided to show that the proposed control scheme can achieve semi-globally fixed-timely uniformly ultimately bounded stabilization. Finally, simulation results are given to demonstrate the effectiveness of the proposed control scheme and the superior performance over conventional DSC.

Dynamic Evolution Analysis of Stock Price Fluctuation and Its Control

“…Some researchers have discussed the fixed-time control problem of dynamical systems by using the theorem proposed by Zuo [21,[24][25][26][27]. From Remark 8, the fixedtime stable theorem of the dynamical system proposed in this paper achieves more faster convergence than the theorem proposed by Zuo and in [21,[24][25][26][27]]. Based on Lemma 6, we analyze the fixed-time control problem of system (11).…”

“…In particular, in [23], Zuo proposed a class of fixed-time stability theory for the differential equation:̇= − 2− / − / , which was fixed-time stable at ≤ /2√ ( − ). Subsequently, the theorem proposed by Zuo was used to discuss the fixed-time control of dynamical systems; please see [21,[24][25][26][27]. This paper attempts to propose a new finite time convergence theory to discuss the control problem of stock price fluctuation system, the new fixed-time stability method proposed in this paper converged faster than the proposed method by Zuo, and the new fixed-time stable theorem contains the theorem proposed by Zuo, so the new fixed-time stable theorem can be applied more widely.…”

Adaptive Higher-Order Sliding Mode Control for Islanding and Grid-Connected Operation of a Microgrid

“…HOSM control has been a hot topic and widely applied in power system control [22,23]. Some scholars have attempted to study HOSM control for microgrid operation.…”

Fixed-Time Stability of the Hydraulic Turbine Governing System

“…Compared with the finite-time control, the fixed-time control has the characteristic that the maximum adjustment time is not affected by the initial conditions. In view of many advantages of fixed-time control, the control method has been widely used in multiagent systems [25], aircraft systems [26], robot systems [27], neural network systems [28][29][30][31], and chaotic systems [32,33].…”