Finite Horizon H-Infinity Control of Nonlinear Time-Varying Systems Under WTOD Protocol

Abstract

The finite horizon $H_{\infty } $ 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 $\text{H}\infty $ controller. The gain matrices of the controller and observer are obtained by solving a set of recursive linear matrix inequalities.

Keywords

• H∞ control%22%2C%22default_operator%22%3A%22AND%22%7D%7D%7D"> <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">H∞</italic> control
• finite horizon
• nonlinear time-varying networked control systems
• weighted try-once-discard communication protocols