Output-feedback H<inf>&#x221E;</inf> control of a class of networked fault tolerant control systems

Abstract

This paper deals with static output feedback control of a class of discretetime networked control systems (NCS) subject to random failures and random delays. The different random processes are modeled as Markovian chains, and the resulting closed-loop system belongs to the class of discrete-time Markovian jump linear systems (MJLS). The main contribution is to formulate conditions for multi-performance design related to this class of stochastic hybrid systems. The specifications and objectives under consideration include stochastic stability, H 2 and H ∞ performances. Results are formulated as matrix inequalities. A numerical algorithm is provided and its running is illustrated on a numerical example.

Fault-tolerant control of networked control systems with time-varying delay

“…There have been some achievements on this subject. In reference [1][2][3][4] the time delay and the fault of actuator or sensor in the NCS are taken into account in the establishment of the mathematical model of the whole system, then the author constructed stability condition of the system with the LIAPUNOV -KRASOVSKI law or robust control theory, based on this condition the correct control law was conducted. In reference [5~6] the maximum delay was taken instead of the actual delay to construct the extended mathematical model of the system since there will be too many uncertain parameters in the model of the system when the time delay is uncertain, which will make the controller design to be very difficult even impossible.…”

Desain Pengendali Untuk Networked Control System Menggunakan Pendekatan Markovian Jump System

“…Sebuah pengendali umpan balik keluaran disebut statis apabila perancang harus menemukan gain yang sesuai dengan tujuan pengendaliannya, yang lainnya disebut dinamis apabila representasi ruang keadaan dari pengendalinya diketahui secara lengkap. Beberapa hasil penelitian yang menggunakan umpan balik output dalam desain pengendali NCSnya dilaporkan dalam makalah [8,[13][14][15][16]].…”

MixedH2/H∞control for a class of nonlinear discrete-time networked control systems with random delays and stochastic packet dropouts

“…The so‐called mixed H 2 / H ∞ control is a typical this kind of case. Generally speaking, the problem of mixed H 2 / H ∞ control is to find a controller not only to minimize the H 2 performance (cost function) but also to satisfy the H ∞ performance in spite of the worst disturbance, see references . To mention one of them, Yang et al , has studied the robust mixed H 2 / H ∞ control problem for a class of uncertain discrete‐time nonlinear stochastic systems.…”

“…As far as the mixed H 2 / H ∞ control problem for NCSs is concerned, there just exists several literatures. To mention a few of them, the output‐feedback H 2 / H ∞ control for a class of networked fault tolerant control systems have been investigated by Aberkane et al , , in which random delays and random failures have been simultaneously taken into account in a unified way. The work of Shi and Yu has addressed the robust mixed H 2 / H ∞ control for NCSs with random transmission delays, in which the forward (controller‐to‐actuator) and the backward (sensor‐to‐controller) communication channels have been formulated as two independent Markov chains.…”