Output feedback stochastic H_∞ stabilization of networked fault-tolerant control systems

Abstract

In this paper, static output feedback stochastic stabilization and disturbance attenuation issues for a class of discrete-time Networked Control Systems (NCSs) subject to random failures and random delays are addressed. 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). Results are formulated as matrix inequalities. A numerical algorithm based on nonconvex optimization is provided and its running is illustrated on a classical example from literature.

Modeling of Random Delays in Networked Control Systems

“…However, the access to the Markov states may not be possible in some circumstances, which makes is quite possible that the associated Markov states are inaccessible to controller. For this case, to design mode-independent controllers, a mode-dependent Lyapunov function was used to derive output-feedback H 2 /H ∞ controller for the NCS subject to random failures and stochastic Markovian S-C delays in [57]. In practical systems, it is difficult to obtain the exact transition probability matrix of the Markov chain of the S-C delays.…”

Almost sure stability of discrete‐time Markov jump linear systems

“…MJLS are extensively used to model physical systems subject to abrupt changes or failures, e.g., fault tolerate systems [1], aerospace systems [2], networked control systems [3,4], etc.…”

“…Markov jump linear systems (MJLS) are composed of a set of linear subsystems (also called modes) and a switching sequence governed by a Markov stochastic process. The MJLS are extensively used to model the physical systems having abrupt changes or failures, for example, fault tolerant systems [1], aerospace systems [2], networked control systems [3,4] and so on. A stability study of the stochastic systems is of fundamental importance.…”