An h∞ fault-tolerant control method for a class of networked linear parameter-varying systems with time-varying delays

Abstract

The invention provides an H8 fault tolerance control method for a networked linear parameter variation system with time variation and time delay, and belongs to the field of networked linear parametervariation system control. The method takes the situations that a linear parameter variation system has network time variation and time delay and a sensor and an executor break down simultaneously inaccount, firstly a method of free-weighting matrix is used to establish a Lyapunov function for processing the time variation and time delay to obtain sufficient conditions of closed-loop fault tolerance control system stability, then a Lyapunov theorem of stability and a linear matrix inequality analysis method are used to obtain sufficient conditions of H8 fault tolerance controller existence, lastly an approximate primary function and a gridding technology are used to approximate a solving problem of an infinite dimensional linear matrix inequality system with a solving problem of a finitedimensional linear matrix inequality system, a Matlab LMI toolkit is used for solution, and a gain matrix of an H8 fault tolerance controller is provided. The H8 fault tolerance control method for thenetworked linear parameter variation system with the time variation and the time delay reduces the conservatism of the H8 fault tolerance controller.

Description

technical field

[0001] The invention belongs to the control field of networked linear parameter change systems, and relates to a class of networked linear parameter change systems with time-varying delay. ∞ fault-tolerant control method. Background technique

[0002] Linear Parameter-Varying (LPV) system is a kind of system whose parameters are constantly changing. The elements of the state matrix of this type of system are definite functions with time-varying parameters, and the range of time-varying parameters related to the function can be measured. Many practical systems can be described by such models, such as aircraft systems, wind energy conversion systems, etc. Once such complex systems fail, it may cause major property losses and even casualties. Therefore, it is necessary to study how to reduce catastrophic accidents It is of great social and economic significance to improve the reliability and safety of modern complex control systems. Especially due to the appl...

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