On designing network-based H ∞ controllers for stochastic systems (original) (raw)
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Network-based H∞ control for stochastic systems
International Journal of Robust and Nonlinear Control, 2009
This paper investigates the problem of network-based control for stochastic plants. A new model of stochastic time-delay systems is presented where both network-induced delays and packet dropouts are taken into consideration for a sampled-data network-based control system. This model consists of two successive delay components in the state, and we solve the network-based H∞ control problem based on this model by a new stochastic delay system approach. The controller design for the sampled-data systems is carried out in terms of linear matrix inequalities. Finally, we illustrate the methodology by applying these results to an air vehicle control problem. Copyright © 2008 John Wiley & Sons, Ltd.
New results on networked control systems with non-stationary packet dropouts
In this study, an improved observer-based stabilising controller has been designed for networked systems involving both random measurement and actuation delays and subject to non-stationary packet dropouts. The developed control algorithm is suitable for networked systems with any type of delays. By the simultaneous presence of binary random delays and making full use of the delay information in the measurement model and controller design, new and less conservative stabilisation conditions for networked control systems are derived. The criterion is formulated in terms of linear matrix inequalities. Detailed simulation studies on representative systems are provided to show the applicability of the developed design technique.
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Information Sciences, 2013
This paper is concerned with the problem of H 1 output feedback control for networked control systems with packet dropouts in both sensor-to-controller and controller-toactuator channels. Packet dropouts in these two links are modeled as two independent Markov chains, whose transition probability matrices are sparse so that it is easy to obtain. Moreover, late arrivals are considered in the model as well. Sufficient conditions for the solvability of design problems of H 1 output feedback controllers are presented and are dependent on the upper bounds of the number of consecutive packet dropouts. The validity of the proposed approaches are illustrated by a numerical example.
Stochastic stability analysis of packet-based networked control systems
Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference, 2009
By taking advantage of the packet-based transmission in networked control systems (NCSs), a packet-based control approach is proposed for NCSs. Using this approach, the control law can be designed with explicit compensation for networkinduced delay, data packet dropout and data packet disorder simultaneously. The sufficient and necessary condition for the stochastic stability of the closed-loop system is obtained, by modeling the closed-loop system as a Markov jump system. A numerical example is also considered to illustrate the effectiveness of the proposed approach.
IEEE Access, 2019
This paper presents the new results on the H ∞ control of a class of completely uncertain nonlinear networked control systems with random communication packet dropouts, which is partially considered in this paper. The uncertainties in the plant are assumed to be real and time-varying, as well as norm, bounded. The random packet losses are modeled as a Bernoulli distributed white sequence with known conditions on their probability distribution. The controller was designed as an observer-based H ∞ dynamic, such that the closed-loop system is exponentially mean square stable and the effect of the disturbance input on the controlled output is less than a minimum level γ for all admissible uncertainties. New sufficient conditions for the existence of such a controller are presented and proved based on the linear matrix inequalities' approach. The theory presented is illustrated by a numerical example to show the effectiveness of the developed techniques. INDEX TERMS Network control systems, network communication, nonlinear systems, uncertain systems, observer-based H ∞ controller.
Stability Results for Networked Control Systems Subject to Packet Dropouts
IFAC Proceedings Volumes, 2005
Stability and performance of networked control systems has been a recent area of interest in the control literature. The inclusion of a shared communication network between plant and controller inevitably leads to occasional random data loss. We provide novel results relating to the probability of such a system being globally asymptotically stable or input to state stable.
Stability of networked control systems: analysis of packet dropping
ICARCV 2004 8th Control, Automation, Robotics and Vision Conference, 2004.
In this paper, we analyze the stability of a Networked Control System with random delay. We consider a first order continuous process that is sampled at constant intervals, a discrete controller and a control delay less than one sampling period. Analytical expressions are obtained for the probability density function (pdf) of the eigenvalues of the closed loop system. Our objective is to determine the probability of the system become unstable for given design parameters and for a given pdf model for the control delay.
Delay distribution based robust H∞ control of networked control systems with uncertainties
2010
Network induced delay in networked control systems (NCS) is inherently non-uniformly distributed and behaves with multifractal nature. However, such network characteristics have not been well considered in NCS analysis and synthesis. Making use of the information of the statistical distribution of NCS network induced delay, a delay distribution based stochastic model is adopted to link Quality-of-Control and network Quality-of-Service for NCS with uncertainties. From this model together with a tighter bounding technology for cross terms, H ∞ NCS analysis is carried out with significantly improved stability results. Furthermore, a memoryless H ∞ controller is designed to stabilize the NCS and to achieve the prescribed disturbance attenuation level. Numerical examples are given to demonstrate the effectiveness of the proposed method.
Rate-Limited Stabilization for Network Control Systems
2007 American Control Conference, 2007
In this paper, we extend results from packet-based control theory, and present sufficient conditions on the rate of a packet network to guarantee asymptotic stability of unstable discrete LTI system, with less inputs than states. Two types of Network Control Systems are considered in the absence of communication delays, then for one of the two types, the case of a constant time delay is discussed. Examples and simulations are provided to demonstrate the results.
Journal of Control Science and Engineering, 2014
The problem of stability analysis for a class of networked control systems (NCSs) with network-induced delay and packet dropout is investigated in this paper. Based on the working mechanism of zero-order holder, the closed-loop NCS is modeled as a continuous-time linear system with input delay. By introducing a novel Lyapunov-Krasovskii functional which splits both the lower and upper bounds of the delay into two subintervals, respectively, and utilizes reciprocally convex combination technique, a new stability criterion is derived in terms of linear matrix inequalities. Compared with previous results in the literature, the obtained stability criterion is less conservative. Numerical examples demonstrate the validity and feasibility of the proposed method.