Design of Feedback Control for Networked Finite-Distributed Delays Systems with Quantization and Packet Dropout Compensation

Abstract

This paper investigates the feedback control for networked discrete-time finite-distributed delays with quantization and packet dropout, and systems induce theH∞control problem. The compensation scheme occurs in a random way. The quantization of system state or output signal is in front of being communicated. It is shown that the design of both a state feedback controller and an observer-based output feedback controller can be achieved, which ensure the asymptotical stability as well as a prescribedH∞performance of the resulting closed-loop system satisfying dependence on the size of the discrete and distributed delays. Numerical examples are given to illustrate the effectiveness and applicability of the design method in this paper.

Event-Driven Control for NCSs with Logarithmic Quantization and Packet Losses

“…As two important issues in NCSs, quantization and packet losses have been researched by many literatures including [1][2][3][4][5][6][7][8][9][10][11]. Ji et al study the mean square quadratic stabilization problem for NCSs with arbitrary packet losses and Markovian jump packet losses, respectively, in [1] and [2].…”

“…For the linear systems and fuzzy systems affected by delays, quantization, and packet dropout, observer-based output feedback controllers are designed in [7] and [8], respectively. Moreover, the design criteria for the static output feedback controller, optimal dynamic quantizer, and ∞ controller are researched in [9], [10], and [11], respectively.…”

“…(2) Both the parameters given in Theorems 2 and 3 can ensure the system stability. But, by comparing conditions (10) and (35), we know that the result of Theorem 2 must be more conservative than the one of Theorem 3 from the point of view of the maximum allowable packet loss rate.…”