A switching system approach to actuator assignment with limited channels

Abstract

SUMMARYThe problem of integrated design of controller and communication sequences is addressed for networked control systems with simultaneous consideration of medium access limitations and network-induced delays, packet dropouts and measurement quantization. By exploiting a Lyapunov-Krasovskii functional and by making use of novel techniques for switching delay systems, it is shown that linear time invariant systems can be stabilized with delay-dependent state feedback controllers and communication sequences satisfying appropriate delay-dependent conditions in terms of linear matrix inequalities. Illustrative examples are provided to show the usefulness and advantage of the developed results.

Optimal Design of Distributed Control and Embedded Systems

“…Robustness issues were investigated in Al-Areqi et al [2], using the OPP algorithm for complexity reduction. The impact of network induced delays and packet dropouts to this problem were investigated in Guo and Jin [107].…”

A switching system approach to sensor and actuator assignment for stabilisation via limited multi-packet transmitting channels

“…Based on the above observations, this article is concerned with linear NCSs containing a set of sensors and a group of actuators connected to a dynamic output feedback controller via a network, where each sensor and each actuator communicate with the controller with an independent packet and the network cannot accommodate all the sensors or actuators simultaneously at a time. Although the method given in Guo and Jin (2010) may be extended to cover the current situation, such an extension would highlight its shortcoming of too many slack variables and conservativeness. Therefore, in this article, we propose a novel approach to dynamic feedback controller and communication sequence co-design with simultaneous consideration of multi-packet transmission, time-varying delays and packet dropouts.…”

“…and Markovian, respectively, resulting in a set of delay-independent design conditions in the form of difference linear matrix inequalities or difference matrix equations corresponding to different forms of delays. Since, in some cases, network-induced delays varying in a timely manner with lower and upper bounds are of particular interest, we proposed a delay-dependent method, based on linear matrix inequalities (LMI) and a LyapunovKrasovskii function, for the so-called actuator assignment and state feedback controller co-design using switching system theory in Guo and Jin (2010), where time delay, access limitation and packet dropout at the actuator side are considered.…”

Feedback control with scheduled communication sequences and random delays

“…As an continued and extended work, [8] investigated the problem of LQG control design for NCSs with medium access constraints and constant delays in the framework of periodic communication sequence. Motivated by research works of Hristu-Varsakelis and his colleagues, we derived in [2] an alternative solution to this problem using a so-called occasional feedback control (OFC) strategy which allows the control system to operate in an open-loop manner during certain time periods when the sensor data is unavailable and, in [3], a switching system approach to actuator assignment when the channels are inadequate. These research works have potentiality of simplifying the co-design problem in that a value of zero is fed into the destination node when the source node fails to access the channel instead of the output of a zeroorder hold, the role of which was discussed in [7].…”