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

• Published in: IEEE access Vol. 10; pp. 20400 - 20406
• Main Authors: Huang, Kewang, Pan, Feng
• Format: Journal Article
• Language: English
• Published: Piscataway IEEE 2022; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: <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∞ control; Controllers; Equations of state; finite horizon; H-infinity control; Linear matrix inequalities; Mathematical analysis; Nonlinear control; Nonlinear systems; nonlinear time-varying networked control systems; Nonlinearity; Protocols; Sensor systems; Sensors; Series expansion; Symmetric matrices; Taylor series; Time varying control systems; Time-varying systems; weighted try-once-discard communication protocols
• ISSN: 2169-3536; 2169-3536
• DOI: 10.1109/ACCESS.2022.3149510

The finite horizon <inline-formula> <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> <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.