Super-Twisting-Algorithm-Based Terminal Sliding Mode Control for a Bioreactor System

Abstract

This study proposes a class of super-twisting-algorithm-based (STA-based) terminal sliding mode control (TSMC) for a bioreactor system with second-order type dynamics. TSMC not only can retain the advantages of conventional sliding mode control (CSMC), including easy implementation, robustness to disturbances, and fast response, but also can make the system states converge to the equivalent point in a finite amount of time after the system states intersect the sliding surface. The chattering phenomena in TSMC will originally exist on the sliding surface after the system states achieve the sliding surface and before the system states reach the equivalent point. However, by using the super twisting algorithm (STA), the chattering phenomena can be obviously reduced. The proposed method is also compared with two other methods: (1) CSMC without STA and (2) TSMC without STA. Finally, the control schemes are applied to the control of a bioreactor system to illustrate the effectiveness and applicability. Simulation results show that it can achieve better performance by using the proposed method.

Continuous robust fault‐tolerant control and vibration suppression for flexible spacecraft without angular velocity

“…Remark In the works of Xu et al, the finite‐time FTC was achieved for rigid satellite system modeled by Euler equation, which could deal with the singularity problem of traditional terminal SMC and guarantee the finite‐time convergence. In this paper, the flexible spacecraft modeled by unit quaternion is considered, and the FTC and vibration suppression for flexible spacecraft are resolved by the integrated design of CMISM and IS, which achieves the finite‐time attitude stabilization.…”

“…[8][9][10][11][12][13][14] Sliding mode control (SMC) techniques are widely exploited not only in theory but also in practical applications [15][16][17][18][19][20] due to its strong robustness. In the work of Xu et al, 21,22 the FTC approach based on terminal sliding-mode method was presented for finite-time attitude stabilization of satellite, which also resolved the potential singularity problem of traditional terminal SMC designs. Han et al 23 proposed an adaptive nonsingular terminal sliding mode fault-tolerant controller for the spacecraft with actuator faults, external disturbances, and model uncertainties, which was able to ensure the finite-time convergence.…”

Generalized Synchronization of Nonlinear Chaotic Systems through Natural Bioinspired Controlling Strategy

“…Let us consider the quantities as functions of time which satisfy the differential equations of disturbed motion assuming that the initial values 0 = ( 0 ) of these quantities satisfy the inequalities (18). Since the undisturbed motion is stable in any case, the magnitude may be selected so small that for all values of ≥ 0 the quantities remain within Ω 1 .…”

“…Nowadays, more and more techniques of chaos synchronization were proposed, such as active control [2][3][4], backstepping control method [5][6][7][8], linear error feedback control [9][10][11], adaptive control [12][13][14][15][16], and sliding mode control [17][18][19][20].…”

Nonsingular Fast Terminal Sliding Mode Tracking Control for a Class of Uncertain Nonlinear Systems

“…The deviation between the system state and the given trajectory converges exponentially but cannot converge to zero in a finite time. Therefore, the nonlinear term is introduced in the design of terminal sliding mode (TSM) control, and the tracking error on the sliding mode surface can converge to zero in a limited time, which makes it widely used in various control systems [9][10][11][12]. Reference [13] proposed a terminal sliding mode control design scheme for uncertain dynamic systems with pure feedback form.…”