M.S. Branicky, S.M. Phillips, and W. Zhang, Stability of networked control systems: Explicit analysis of delay, in Proc. American Control Conf., pp. 2352--2357, Chicago, June 2000.  Home/Search   Document Not in Database   Summary   Related Articles   Check

....an Sanfridson [7] investigate a similar problem, but at a higher level, when several plants with LQ controllers share a common bus. Several researchers consider the networked control systems from a time delay systems point of view. Their approach is to model the delays induced by the network ([8], 9] using some probabilistic model and then applying various results from time delay system and stochastic control theory to NCS (see for instance [9] 10] The focus of our research is on the interaction between network scheduling and the control algorithm used. In our 1Copyright c 2001 by ....

....the interaction between network scheduling and the control algorithm used. In our 1Copyright c 2001 by ASME paper, we consider the e#ects of perturbations on the performance of the closed loop networked control system. This paper is closely related to the approach taken in [11] improved in [8] and extended for nonlinear systems and different scheduling algorithms in [12] 13] We consider the case where a controller has been designed a priori to meet certain specicationandthenwestudythee#ect of closing the feedback loop through a communication network. PROBLEM FORMULATION The block ....

S. M. Philips M. S. Branicky and W. Zhang. Stability of networked control systems: explicit analysis of delay. Proc. American Control Conference, pages 23522357, June 2000.

.... IEEE Control Systems Magazine February 2001 F eedback control systems wherein the control loops are closed through a real time network are called networked control systems (NCSs) 1] [4]. The defining feature of an NCS is that information (reference input, plant output, control input, etc. is exchanged using a network among control system components (sensors, controller, actuators, etc. Fig. 1 illustrates a typical setup and the information flows of an NCS. The primary ....

M.S. Branicky, S.M. Phillips, and W. Zhang, "Stability of networked control systems: Explicit analysis of delay," in Proc. Amer. Control Conf., Chicago, IL, June 2000, pp. 2352-2357.

....problem with network induced delay, packet dropouts, and multiple packet transmissions taken into account. 1 Introduction A networked control system (NCS) involves communication patterns in which both informational and physical control loops are closed through a real time network (e.g. [4, 15, 13, 18, 20]; see [19] for a thorough review) In NCSs, the performance of the control loops not only depends on the design of the control algorithms but also on the scheduling of the shared network resource. Roughly speaking, the problem of network scheduling in NCSs is to assign a transmission schedule to ....

M.S. Branicky, S.M. Phillips, and W. Zhang, Stability of networked control systems: Explicit analysis of delay, in Proc. American Control Conf., pp. 2352--2357, Chicago, June 2000.

....due to the bandwidth and packet size constraints of the network. Because of the arbitration of the network medium with other nodes on the network, chances are, all part none of the packets could arrive at the time of control calculation. See Fig. 4 (right, bottom) In our own previous work [2, 3, 4], we have addressed all these issues for the case of linear plants and controllers. Preliminary results were shared in [3] In further studying the stability of NCSs with time varying transmission period, su#cient conditions on the transmission period to guarantee the stability of linear agent ....

....derived. Our main NCS stability theorem [4] is based on our Multiple Lyapunov Function approach [1] which aims to guarantee the decrease of a Lyapunov function at every transmission event. This technique is much less conservative than those previously used in the literature (including our own) [2, 3, 6] because those results required a Lyapunov function that is guaranteed to be decreasing at all times. Two versions of the bound were derived; their e#ectiveness was compared using specific examples. We also used an exhaustive search method to determine the bounds on the transmission period ....

M.S. Branicky, S.M. Phillips, and W. Zhang, Stability of networked control systems: Explicit analysis of delay, in Proc. ACC., pp. 2352--2357, Chicago, 2000.

.... These results are important contributions and can be nicely viewed as part of the larger topic of looking at stability of first (i.e. linear) approximations extended to the case of hybrid systems as in [6] with consequences for the stability of feedback loops closed over asynchronous networks [109]. There are many other issues related to hybrid system stability and stabilization. For example, besides the need for structural stability conditions, there are computational challenges related to overcoming the complexity of constructing stabilizing switching sequences. See, for example, 99] ....

M. S. Branicky, S. P. Phillips, and W. Zhang, "Stability of networked control systems: Explicit analysis of delay," in Proc. Amer. Control Conf., Chicago, IL.

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