Conference Paper

On H-infinity Control with Multiple Packet Dropouts: Dealing with Repeated Scalar Nonlinearities

Coll. of Electr. & Inf. Eng., Daqing Pet. Inst., Daqing, China
DOI: 10.1109/CDC.2009.5400059 Conference: Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
Source: IEEE Xplore


This paper investigates the H control problem for a class of systems with repeated scalar nonlinearities and multiple packet dropouts. The nonlinear system is described by a discrete-time state equation involving repeated scalar nonlinearities. The multiple packet-dropout phenomenon is assumed to occur in both the sensor-to-controller and the controller-to-actuator channels, and the data missing law for each individual sensor/actuator satisfies individual probabilistic distribution in the interval. An observer-based feedback controller is designed to stochastically stabilize the closed-loop control system and preserves a guaranteed H performance. Two examples are provided to show the applicability of the proposed theoretical results.

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    ABSTRACT: This paper considers the problems of non-fragile robust stabilization and H ∞ control for uncertain stochastic time delay systems with Markovian jump parameters and nonlinear disturbances. The parameter uncertainties are assumed to be time-varying norm bounded appearing in both state and input matrices. The purpose of the non-fragile robust stabilization problem is to design a memoryless non-fragile state feedback controller such that the closed-loop system is robustly stochastically stable for all admissible uncertainties in both the system and controller. In addition to the aforementioned requirement, a prescribed H ∞ performance level is required to be achieved for the non-fragile robust H ∞ control problem. With the use of the Lyapunov–Krasovskii functional method and free-weighting matrices, delay-dependent sufficient conditions for the solvability of these problems are obtained in terms of LMI. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed approach. Copyright © 2012 John Wiley & Sons, Ltd.
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