Abstract
This paper investigates the stochastic finite-time H∞ boundedness problem for nonlinear discrete time networked systems with randomly occurring multi-distributed delays and missing measurements. The randomly occurring multi-distributed delays and missing measurements are described as Bernoulli distributed white noise sequence. The goal of this paper is to design a full-order output-feedback controller to guarantee that the corresponding closed-loop system is stochastic finite-time H∞ bounded and with desired H∞ performance. By constructing a new Lyapunov-Krasovskii functional, sufficient conditions for the existence of output-feedback are established. The desired full-order output-feedback controller is designed in terms of the solution to linear matrix inequalities (LMIs). Finally, a numerical example is provided to show the validity of the designed method.
Highlights
Networked control system (NCS) is a new research field originated from control engineering practice, which is composed of controller, actuator, and sensor
This paper investigates the stochastic finite-time H∞ boundedness problem for nonlinear discrete time networked systems with randomly occurring multi-distributed delays and missing measurements
The main contributions of the paper are summarized as follows: (1) The discrete-time NCS under consideration is more general networked control systems that include randomly occurring nonlinearities, multi-distributed delays, and missing measurements, where the randomly occurring nonlinearities, multi-distributed delays, and missing measurements are governed by a set of Bernoulli distributed white noise sequences; (2) definitions of SFTB and SFTH∞B are extended to discrete-time NCSs; (3) sufficient conditions are provided to ensure that the corresponding closed-loop system is stochastic finite-time bounded and H∞ performance u(k) Actuator constraint is met by using the Lyapunov-Krasovskii functional method and the linear matrix inequalities (LMIs) technique; (4) full-order outputfeedback controller, a more general controller than the commonly used state feedback controller, is designed
Summary
Networked control system (NCS) is a new research field originated from control engineering practice, which is composed of controller, actuator, and sensor. To the best of the authors’ knowledge, the SFTB control problem for a discrete-time NCS with randomly occurring multi-distributed delays and missing measurements has not been fully investigated, which motivates the main purpose of our study. The main contributions of the paper are summarized as follows: (1) The discrete-time NCS under consideration is more general networked control systems that include randomly occurring nonlinearities, multi-distributed delays, and missing measurements, where the randomly occurring nonlinearities, multi-distributed delays, and missing measurements are governed by a set of Bernoulli distributed white noise sequences; (2) definitions of SFTB and SFTH∞B are extended to discrete-time NCSs; (3) sufficient conditions are provided to ensure that the corresponding closed-loop system is stochastic finite-time bounded and H∞ performance u(k) Actuator (k) Plant. Constraint is met by using the Lyapunov-Krasovskii functional method and the LMIs technique; (4) full-order outputfeedback controller, a more general controller than the commonly used state feedback controller, is designed
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