Stability determination method of uncertain network multiple time delay system

Abstract

The present invention discloses a stability determination method of an uncertain network multiple time delay system. The method comprises: establishing a closed-loop network multiple time delay control system model, mapping the uncertainty of the closed-loop network multiple time delay control system to a convex polyhedron parameter space, and obtaining a convex polyhedron uncertain network multiple time delay control system model; performing determination to obtain the delay-dependent robust stability of the convex polyhedron uncertain network multiple time delay control system through a liberty matrix method on the basis of a construction Lyapunov function, and obtaining the sufficient condition of the delay-dependent robust stability. The stability determination method of an uncertain network multiple time delay system avoids that the same Lyapunov function is used for all the convex polyhedron vertexes in an uncertain space, and reduces the conservative property of the robust stability sufficient condition.

Description

technical field [0001] The invention belongs to the technical field of automatic control and relates to a method for judging the stability of an uncertain networked multi-time-delay system. Background technique [0002] Networked control systems need to share and exchange more and more data with increasingly complex types. In the field of actual engineering, due to the limitations of human cognitive ability and methods, as well as the complexity of objective things themselves, it is difficult to obtain The definite or precise description of the system leads to a large number of uncertainties; at the same time, with the continuous expansion of the scale of modern control systems, the complexity increases rapidly, the uncertainty of the system structure, the uncertainty of unmodeled parameters, the unpredictability of the external environment, The randomness of external disturbances further increases the complexity and sources of system uncertainties. In the field of modern c...

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Problems solved by technology

The results based on this idea are less conservative than the results based on the Lyapunov quadratic stability theory, but most of the current research results are for continuous systems, and there are few studies on discrete systems.

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