title: Observer-based H∞ control of a class of mixed delay systems with random data losses and stochastic nonlinearities.
abstract: This paper investigates the observer-based H∞ control problem for a class of discrete-time mixed delay systems with random communication packet losses and stochastic nonlinearities. The mixed delays comprise both discrete time-varying and distributed delays, the random data losses are described by a Bernoulli distributed white sequence that obeys a conditional probability distribution, and the stochastic nonlinearities in the form of statistical means cover several well-studied nonlinear functions. In the presence of mixed delays, random packet losses and stochastic nonlinearities, sufficient conditions for the existence of an observer-based feedback controller are derived, such that the closed-loop control system is asymptotically mean-square stable and preserves a guaranteed H∞ performance.
authors.affiliation: Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, China.
authors.forename: Shiping
authors.initials: S
authors.lastname: Wen
authors.forename: Zhigang
authors.initials: Z
authors.lastname: Zeng
authors.forename: Tingwen
authors.initials: T
authors.lastname: Huang
authors.forename: Gang
authors.initials: G
authors.lastname: Bao
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D005246:Feedback; D015233:Models, Statistical; D017711:Nonlinear Dynamics; D018401:Sample Size; D013269:Stochastic Processes