A survey on anti-disturbance control of switched systems with input saturation

Abstract

This paper reviews the latest developments in anti-disturbance control of switched systems subject to input saturation. Firstly, the research significance of switched system, input saturation and antidisturbance control is discussed, respectively. The significance of these researches is to realize the solution of the problems existing in practical engineering. Then it introduces the research status and development of dynamic analysis at home and abroad, including the research status of system control under input saturation constraints and the research status of anti-disturbance control of switched systems with input saturation.

Robust exponential stabilization and L2‐gain analysis for saturated switched nonlinear systems subject to actuator failure under asynchronous switching

“…Thus it follows that there is x(t) ∈ Ω(P 𝜎(t 0 ) , 1 e 2𝜆 𝛽 𝜏 h ), ∀t ∈ [t 0 , t 0 + Δ 0 ) holds. According to (18), we can obtain x(t) ∈ (H 𝜎(t 0 ) ), ∀t ∈ [t 0 , t 0 + Δ 0 ).…”

“…Thereby, (51) implies (18). Then, pre-and post-multiplying both sides of inequality (51) by block-diagonal…”

“…Furthermore, the interaction of switching and actuator saturation makes the study of switched systems with input saturation more difficult. As stated in Reference 18, how to achieve fine control of saturated nonlinear switched systems has become an urgent problem. To study the exponential stabilization problem of switched positive systems under the action of actuator saturation, 19 proposes a new type of multiple time‐varying linear co‐positive Lyapunov functions (MTVLCLFs).…”

Data-based bipartite formation control for multi-agent systems with communication constraints

“…Both the quantization and saturation problems for MASs were investigated by Chen et al 42 The prescribed performance and input quantization issues were discussed by Liang et al 43 Quantization and attack problems were investigated by Huang et al 44 Further details for solving quantization and saturation problems can be found in the survey papers. 45,46 It is noted that most existing approaches [38][39][40][41][42][43][44][45][46] for MASs only consider the collaborative interactions among agents. In fact, the two relationships, collaboration and antagonism, coexist among agents in natural or engineering scenarios.…”

“…It is noted that most existing approaches 38–46 for MASs only consider the collaborative interactions among agents. In fact, the two relationships, collaboration and antagonism, coexist among agents in natural or engineering scenarios.…”