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- W2480485767 abstract "This chapter is devoted to the design of a static-state feedback controller for a linear system subject to saturated quantization and delay in the input. Due to quantization and saturation, we consider, for the closed-loop system, a weaker notion of stability, namely local ultimate boundedness. The closed-loop system is then modeled as a stable linear system subject to discontinuous perturbations. Then by coupling a certain Lyapunov–Krasovskii functional via S-procedure to adequate sector conditions, we derive sufficient conditions to ensure for the trajectories of the closed-loop system finite time convergence into a compact (S_u) surrounding the origin, from every initial condition belonging to a compact set (S_0). Moreover, the size of the initial condition set (S_0) and the ultimate set (S_u) are then optimized by solving a convex optimization problem over linear matrix inequality (LMI) constraints. Finally, an example extracted from the literature shows the effectiveness of the proposed methodology." @default.
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- W2480485767 date "2016-06-01" @default.
- W2480485767 modified "2023-09-25" @default.
- W2480485767 title "Stabilization by Quantized Delayed State Feedback" @default.
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