Control With Markov Sensors/Actuators Assignment

Stability analysis of two-dimensional Markovian jump state-delayed systems in the Roesser model with uncertain transition probabilities

“…In the proof of Theorem 1, new 2-D summation inequalities (11), (12) and (18) are utilized to estimate the directional difference of improved LKF candidate (20). Meanwhile, the technique of reciprocally convex combination is used to consider the relationship between the time-varying delays and their intervals.…”

“…For example, MJSs can be used to model control systems where the plant and controllers are connected via a wireless communications network subject to random abrupt changes in the inputs or Markov sensors assignment [12]. In addition to this, time-delay is ubiquitous in many practical systems, in particular networked control systems, which may detrimentally affect the system performance.…”

Exponential stabilization of singularly perturbed switched systems subject to actuator saturation

“…During recent decades, switched systems have been the subject of a lot of interest. This is motivated by the applications, such as power electronics, chemical processes, network communication, and mechanical systems [6,7,27,28,32].…”

“…Physical limitations for actuators, such as pumps or valves, are usually the cause of constraints. These constraints lead to significant performance deterioration, and even closed-loop instability [2,20,9]. One widely adopted method of handing the nonlinearity of saturation is to express saturated linear feedback as a linear combination of a set of auxiliary linear feedback signals [11].…”

A non-uniform multi-rate control strategy for a Markov chain-driven Networked Control System

“…However, Markov chains can also be used to model other aspects of the NCS. For example, to drive activation states of subsets of actuators [13], [14], or subsets of sensors and actuators [15], [23]. In any case, in order to assure stability in the jumping system, some conditions can be enunciated in terms of LMIs [5] under the consideration of transmission delays both in system output measurements and in control signals.…”