$${\mathcal {H}}_\infty $$ H ∞ control of continuous-time uncertain linear systems with quantized-input saturation and external disturbances

Stabilisation of locally Lipschitz non‐linear systems under input saturation and quantisation

“…Most practical control systems encounter the quantisation phenomenon due to the use of digital technologies with the advantages of low cost, low power consumption, versatility in handling non‐linearity, and programming flexibility. Due to the presence of non‐linearities in almost all practical systems [29], further research work is needed to control the non‐linear systems for saturation, quantisation, and inherent non‐linear dynamics effects.…”

Adaptive quantised observer‐based output feedback control for non‐linear systems with input and output quantisation

“…Henceforth, how to eliminate the impact of quantisation errors is of great practical significance. Although there has been a lot of research on analysis and synthesis of quantised feedback control systems [6, 8, 9, 20, 21], there are relatively fewer studies on eliminating the impact of quantisation errors [22–25]. Quantised state‐feedback control problems for linear continuous‐time uncertain systems with input quantisation and matched disturbance were studied in [22–24].…”

“…Quantised state‐feedback control problems for linear continuous‐time uncertain systems with input quantisation and matched disturbance were studied in [22–24]. Then, the design method was extended to state‐feedback control for linear systems with input saturation in [25], where the requirement of matched disturbance was removed, but zero initial states were assumed. Note that the aforementioned control schemes in [22–25] are given in terms of state feedback.…”

“…Then, the design method was extended to state‐feedback control for linear systems with input saturation in [25], where the requirement of matched disturbance was removed, but zero initial states were assumed. Note that the aforementioned control schemes in [22–25] are given in terms of state feedback. However, when compared with state feedback, the OBOF control problem is much more difficult even for linear systems [1] without considering quantisation errors.…”

H∞control of T–S fuzzy fish population logistic model with the invasion of alien species

“…The existence of external disturbances might deteriorate the system's performance. Thus, many researchers have applied the H ∞ control theory to study these biological-economic models [34] .…”