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—Results on input–output stability of networked control systems (NCS) are presented for a large class of network scheduling protocols. It is shown that static protocols and a recently considered dynamical protocol called try-once-discard belong to this class. Our results provide a unifying framework for generating new scheduling protocols that preserve(More)
—There are many communication imperfections in networked control systems (NCS) such as varying transmission delays, varying sampling/transmission intervals, packet loss, communication constraints and quantization effects. Most of the available literature on NCS focuses on only some of these aspects, while ignoring the others. In this paper we present a(More)
We revisit the extremum seeking scheme whose local stability properties were analyzed in (Krsti´c and Wang, 2000) and propose its simplified version that still achieves extremum seeking. We show under slightly stronger conditions that this simplified scheme achieves extremum seeking from arbitrarily large domain of initial conditions if the parameters in(More)
We present a general and uniied framework for the design of nonlinear digital controllers using the emulation method for nonlinear systems with disturbances. It is shown that if a (dynamic) continuous-time controller, which is designed so that the continuous-time closed-loop system sat-isses a certain dissipation inequality, is appropriately discretized and(More)
Stability properties for a class of reset systems, such as systems containing a Clegg integrator, are investigated. We present Lyapunov based results for verifying L 2 and exponential stability of reset systems. Our results generalize the available results in the literature and can be easily modified to cover L p stability for arbitrary p ∈ [1, ∞]. Several(More)
— This paper provides a general framework for analyzing the stability of general nonlinear networked control systems (NCS) with disturbances in the setting of Lp stability. We build on the presentation in [1] to provide sharper results for both Lp gain and maximum allowable transfer interval (MATI) and detail the property of uniformly persistently exciting(More)
This paper develops a unified framework for studying robustness of the input-to-state stability (ISS) property and presents new results on robustness of ISS to slowly varying parameters, to rapidly varying signals, and to generalized singular perturbations. The common feature in these problems is a timescale separation between slow and fast variables which(More)
optimal control problems for constrained continuous-time linear systems , " IEE Proc. Lyapunov proofs are given for an improved (relative to previous results that have appeared in the literature) bound on the maximum allowable transfer interval to guarantee global asymptotic or exponential stability in networked control systems and also for semiglobal(More)
Given a continuous-time controller and a Lyapunov function that shows global asymptotic stability for the closed loop system, we provide several results for modification of the controller for sampled-data implementation. The main idea behind this approach is to use a particular structure for the redesigned controller and the main technical result is to show(More)
— The purpose of this note is to apply recent results on stabilization of networked control systems to obtain an explicit formula for the maximum allowable sampling period (MASP) that guarantees stability of a nonlinear sampled-data system with an emulated controller. Such formulas are of great value to control practitioners.