Discrete‐time ${\cal H}_{\rm 2}$ output tracking control of wireless networked control systems with Markov communication models

Abstract

This paper considers the discrete‐time ${\cal H}_2$ output tracking control of wireless networked control systems (NCSs) where the time delays are modeled as Markov chains. Output tracking control can find many applications in industry. In order to reduce the conservativeness and achieve better performance, the designed state feedback controller is dependent on available sensor‐to‐controller and controller‐to‐actuator delays. Then, the formulated closed‐loop system is a special jump linear system governed by interdependent parameters of Markov chains and the condition for stochastic stability is proposed. By generalization of the ${\cal H}_2$ norm definition, new relation of the ${\cal H}_2$ norm for the special system is derived in terms of state space form. The condition of a set of linear matrix inequalities (LMIs) with nonconvex constraints is given to solve the ${\cal H}_2$ output tracking control problem. Simulation examples are provided to illustrate the effectiveness of the method. Copyright © 2009 John Wiley & Sons, Ltd.

H<inf>&#x221E;</inf> fuzzy Networked control for vehicle lateral dynamics

“…By letting G 1 = µ 1 G, G 2 = µ 2 G, and G 3 = µ 3 G, with µ 1 , µ 2 , µ 3 being positive scalars, the derivative of (27) along the trajectory of the closed-loop system (20) can be written asV…”

“…Based on Lyapunov-Krasovskii functional, we establish a pratically computable criterion for asymptotic stability of closed-loop NCS system (20).…”

“…It is pointed out that the communication delay, which has time-varying characteristics, is one of the important issues to be considered in NCS analysis and synthesis. Fortunately, many methods and elegant results on NCSs have been reported in the literature [11], [13], [16], [17], [18], [19], [20] and [23] .…”

Decentralized static output feedback fuzzy control design for nonlinear interconnected networked control systems

“…It is well known that limited network resources, network-induced delays and data packets dropout through the network, may degrade DNCS performance and lead to instability. It is point out that the communication delay, which has time-varying characteristics, is one of the important to be considered in NCS analysis and synthesis [4], [5], [8], [10], [12], [13], [15], [16] and [17].…”

Network-Based Output Tracking Control for a Class of T-S Fuzzy Systems That Can Not Be Stabilized by Nondelayed Output Feedback Controllers

“…The main motivations of introducing network-induced delays instead of a constant time-delay in the feedback control loop are: 1) to investigate whether network-induced delays can be beneficially used in the output tracking control of the fuzzy system (1) and 2) to utilize the advantages of introducing a communication network in a feedback control system such as enabling a remote execution of tracking control, reducing system complexity, and increasing system flexibility with low cost [4]- [8]. In the existing works on network-based tracking control [9]- [14], network-induced delays are usually regarded as the source of poor performance and system instability (deterioration effects: negative effects) [15]. In this paper, we take a different and novel view and investigate the positive effects of network-induced delays on the network-based output tracking control.…”