Observer-based H(infinity) control for networked nonlinear systems with random packet losses.
This paper investigates the observer-based H(infinity) 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(infinity) disturbance-rejection-attenuation performance is also achieved. Then a linear matrix inequality (LMI) approach for designing such an observer-based H(infinity) controller is presented. Finally, a simulation example is used to demonstrate the effectiveness of the proposed method.
Li
Jian Guo
JG
Department of Automation, Shanghai Jiao Tong University, Shanghai 200240, People's Republic of China.
Yuan
Jing Qi
JQ
Lu
Jun Guo
JG
D000465:Algorithms; D003627:Data Interpretation, Statistical; D017143:Fuzzy Logic; D007221:Industry / Q000706:statistics & numerical data; D015233:Models, Statistical; D017711:Nonlinear Dynamics; D012815:Signal Processing, Computer-Assisted