Observer-Based Multiobjective Control of Switched Networked Control Systems With Multipath Packet Dropouts

This article considers the observer-based multiobjective control problem of switched networked control systems (SNCSs) subjected to multipath packet dropouts and switching rule loss. Three mutually independent Bernoulli distribution random sequences are adopted to model the packet dropouts existing in the control input, the measurable output, and the switching rule, which have been rarely studied in existing works. To solve the problems caused by the multipath packet dropouts and switching rule loss, multiple hybrid strategies are adopted to design the observer-based controllers of SNCSs. First, a novel hybrid observer design scheme is used to design the dynamical equation of observers. Second, the mode-dependent and mode-independent hybrid observer-based controllers are designed. Then, based on the multiple Lyapunov functionals (MLFs) and average dwell time (ADT) technology, the multiobjective control problem of SNCSs is formulated as a problem to minimize the $H_{\infty } $ disturbance attenuation level for the estimation error of observers and $L_{2}-L_{\infty } $ disturbance attenuation level for the SNCSs at the same time. Through a two-step approach, new results based on linear matrix inequalities (LMIs) are deduced to determine the observer parameters and controller gains. Eventually, two examples are given.