Observer-based H ∞ control for networked nonlinear systems with random packet losses

• Published in: ISA transactions Vol. 49; no. 1; pp. 39 - 46
• Main Authors: Li, Jian Guo, Yuan, Jing Qi, Lu, Jun Guo
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 2010; Elsevier
• Subjects: [formula omitted] control; Algorithms; Applied sciences; Computer science; control theory; systems; Computer systems and distributed systems. User interface; Control system analysis; Control theory. Systems; Data Interpretation, Statistical; Exact sciences and technology; Fuzzy Logic; Industry - statistics & numerical data; Linear matrix inequality (LMI); Modelling and identification; Models, Statistical; Networked nonlinear control system; Nonlinear Dynamics; Observer-based feedback control; Process control. Computer integrated manufacturing; Random packet loss; Signal Processing, Computer-Assisted; Software; Networked nonlinear control system; Random packet loss; H ∞ control; Linear matrix inequality (LMI); Observer-based feedback control; Conditional distribution; Disturbance rejection; Probabilistic approach; Random packetloss; H infinite control; Feedback regulation; H; Probability distribution; Nonlinear problems; control; Conditional probability; Distributed system; Exponential stability; Closed feedback; Observer; Distributed control; Linear matrix inequality; Lipschitz function; System identification; Transmission loss
• ISSN: 0019-0578; 1879-2022; 1879-2022
• DOI: 10.1016/j.isatra.2009.08.001

This paper investigates the observer-based H ∞ control problem of networked nonlinear systems with global Lipschitz nonlinearities and random communication packet losses. The random packet loss is modelled as a Bernoulli distributed white sequence with a known conditional probability distribution. In the presence of random packet losses, sufficient conditions for the existence of an observer-based feedback controller are derived, such that the closed-loop networked nonlinear system is exponentially stable in the mean-square sense, and a prescribed H ∞ disturbance–rejection–attenuation performance is also achieved. Then a linear matrix inequality (LMI) approach for designing such an observer-based H ∞ controller is presented. Finally, a simulation example is used to demonstrate the effectiveness of the proposed method.