Stabilization of nonlinear stochastic systems with input and output delays via event‐triggered predictive control

• Published in: International journal of robust and nonlinear control Vol. 34; no. 9; pp. 6083 - 6101
• Main Authors: Deng, Ding‐Lin, He, Ping, Shi, Peng, Kovács, Levente
• Format: Journal Article
• Language: English
• Published: Bognor Regis Wiley Subscription Services, Inc 01.06.2024
• Subjects: Delay; Error analysis; event‐triggered predictive control; input and output delays; nonlinear stochastic systems; Nonlinear systems; Predictive control; Recursive methods; Stabilization; Stochastic systems
• ISSN: 1049-8923; 1099-1239
• DOI: 10.1002/rnc.7309

The stabilization of nonlinear stochastic systems with input and output delays is investigated in this article. First, an observer that includes input delay information is designed to estimate the state information after eliminating the effect of input delay. Second, a predictive scheme with delay information is utilized to predict the system state affected by output delay, and an event‐triggered predictive controller is established to eliminate the effects of input and output delays simultaneously. Subsequently, the convergence of the prediction error is analyzed by utilizing a recursive method, and a sufficient condition to ensure the global exponential stability is given by constructing a new closed‐loop system. Finally, numerical simulations of two nonlinear stochastic systems with different delay sizes are utilized to verify the impact of the event‐triggered predictive control in addressing the stabilization of nonlinear stochastic systems with time delays.