Quantized sliding mode control in delta operator framework

Abstract

Summary This paper is concerned with quantized sliding mode control in the unified delta operator system framework. To solve the quantization measurement saturating problem, a dynamic quantization strategy including discrete on‐line open‐loop zooming‐out and closed‐loop zooming‐in policies is presented. By analyzing the sign relation between the traditional linear switching function and the quantized linear switching function, a novel quantized sliding mode control method is proposed, and both the amplitude of the control gain and the value of the quantization measurement saturating parameter are reduced compared with previous results. Some simulation results are presented to verify the effectiveness of the proposed method.

Finite‐time multi‐switching sliding mode synchronisation for multiple uncertain complex chaotic systems with network transmission mode

“…By partial comparative analysis, the proposed schemes have illustrated the better performance on the response speed than some reported results in [34,35]. Meanwhile, the (38) between (33) and (34) with (36) uncertainties and unknown constants are effectively estimated based on the proposed adaptive laws, which display low sensitivity to such uncertainties. With the above analysis, it is emphasised that the innovations of this paper are novel, and FTMSS of multiple uncertain CVCSs is well achieved.…”

“…Simultaneously, it is emphasised that sliding mode control technique has been successfully applied to deal with the above results due to its better robustness and disturbance rejection properties. Zheng et al [36,37] analysed sliding mode control in delta operator framework and gave an event-triggered approach. In addition, Chen et al [38] only investigated finite-time multi-switching synchronisation (FTMSS) among mulitple determined real chaotic systems.…”

Adaptive reliable guaranteed performance control of uncertain nonlinear systems by using exponent‐dependent barrier Lyapunov function

“…For the stability analysis, the following theorem is established. (2), with the help of Assumptions 1 to 3, virtual control laws (13)- (15), adaptive reliable control law (16), and adaptive laws (17)- (19). All the closed-loop signals of considered system can be guaranteed to be semiglobally uniformly ultimately bounded and all the tracking errors z p , p = 1, … , n are preserved within the specified PPBs all the time, ie, |z p | < |k p (t)| with t ≥ 0.…”

“…[15][16][17] With the advances in both control theory and control applications, systems always encounter the new challenging problem, ie, systems are usually under actuator faults, which often leads to poor or intolerable transient performance for systems. Hence, it is necessary to develop the reliable fault-tolerant control (FTC) methods [18][19][20] that can tolerate faults and achieve control objective of system. The FTC scheme by combining with adaptive control mechanism has become one of the most popular methods for dealing with nonlinear systems under actuator faults, especially.…”

Adaptive decentralized fault‐tolerant tracking control for large‐scale nonlinear systems with input quantization

“…Hence, the quantized feedback control problem has attracted much attention, and there have been many results on quantized control. () In the work of Zhou et al, a hysteretic quantizer, which can avoid chattering phenomenon, was presented to solve the input quantization problem. Based on the proposed hysteretic quantizer, the input quantization control problem was studied in the works of Fan et al() and Wang et al,() and the quantization‐based adaptive FTC problem was investigated in the works of Li and Yang() and Khan et al() However, the input quantization problem of large‐scale nonlinear systems has not received much attention.…”