Abstract
The finite horizon <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$H_{\infty } $ </tex-math></inline-formula> control problem is investigated for a class of discrete nonlinear time-varying systems subject to Weighted Try-Once-Discard communication protocol. The equations of state and output under investigation involve both deterministic and stochastic nonlinearities. By resorting to the Taylor series expansion formula, Lyapunov stability theory and cross-amplification lemma, sufficient conditions are established for the existence of the desired observer-based <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\text{H}\infty $ </tex-math></inline-formula> controller. The gain matrices of the controller and observer are obtained by solving a set of recursive linear matrix inequalities.
Highlights
In recent years, more and more scholars have developed a strong interest in the control and filtering of nonlinear systems[1,2,3]
Literature [9] assumes that the spatial distance between the filter and the sensor is relatively long, and the measured value may be lost in the transmission process from the sensor to the filter due to insufficient energy stored in the sensor
This paper considers the influence of communication protocol on networked time-varying nonlinear systems and studies the finite horizon control method under the influence of Weighted try-once-Beneath communication protocol
Summary
More and more scholars have developed a strong interest in the control and filtering of nonlinear systems[1,2,3]. Literature [9] assumes that the spatial distance between the filter and the sensor is relatively long, and the measured value may be lost in the transmission process from the sensor to the filter due to insufficient energy stored in the sensor Under such a condition, the finite horizon filtering problem of a class of nonlinear time-delay systems with energy acquisition sensors is studied. With the introduction of communication protocols, many traditional control methods are not suitable for networked systems, and different communication protocols have different effects on networked systems Under this background, this paper considers the influence of communication protocol on networked time-varying nonlinear systems and studies the finite horizon control method under the influence of Weighted try-once-Beneath communication protocol. Based on the Lyapunov stability theory, cross amplification lemma technology and recursive linear matrix inequality technique, and a finite horizon controller based on state observer is designed
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