Quantised feedback stabilisation of planar systems via switching-based sliding-mode control

H∞ control design for discrete-time switched fuzzy systems

“…In addition, average dwell switching is a class of typical constrained switching signal, which is widely used to investigate the problems of stability analysis and stabilization of switched systems [25]. Based on the above stability analysis theory, many control design approaches have been studied for switched linear systems or switched nonlinear systems, for example, [26][27][28][29][30][31] and references herein. More recently, several control design and stability analysis methods have been explored for switched fuzzy T-S systems [32,33].…”

“…Moreover, the GUAS conditions guaranteed the switched fuzzy system stabilization are proposed and formulated in the form of LMIs. Compared with the existing results, the main contributions of this paper can be summarized as follows: (1) The proposed approach can stabilize the nonlinear systems based on T-S fuzzy model, while [26][27][28][29] can only stabilize the linear systems. (2) By using the average-dwell time method, the proposed approach stabilizes the asynchronously switched systems under the matched and unmatched modes, while the approaches in [32,33] can only stabilize the synchronously switched systems, therefore, the control approaches in [32,33] cannot be applied to stabilize the asynchronously switched systems.…”

Control of linear discrete-time systems by quantised feedback

“…In [16], the authors looked at the problem of quantised-stabilisation of linear discrete systems with packet dropout and the results were further extended in [17] using observer-based outputfeedback control and in [18] using two quantisers in the control loop. Using switching-based sliding-mode control, the authors in [19] dealt with the feedback stabilisation problem for planar systems subjected to saturating-quantised state measurements.…”

“…In this paper, we elaborate on [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20] and proceed further to investigate a generalised approach to the problem of quantised-feedback control in linear discrete-time system for a wide class of quantisers holding arbitrary form. Our main focus is on the role of quantiser, leaving the role of time-delays, drop-outs or random transmission effects to later developments.…”

Stabilisation of non-linear continuous system with input quantisation and packet dropout

“…Some of the recent contributions on the logarithmic quantiser can be found in [4][5][6][7][8][9][10][11][12] while papers addressing the uniform quantiser are, for instance, [13][14][15][16][17].…”