A Stability Judgment Method for Uncertain Networked Multi-delay Systems

A multi-time-delay and stable technology, applied in general control systems, control/regulation systems, instruments, etc., can solve the problems of less involvement of discrete systems and low conservatism, and achieve the effect of reducing conservatism

Inactive Publication Date: 2018-10-16
XI'AN UNIVERSITY OF ARCHITECTURE AND TECHNOLOGY
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Problems solved by technology

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

Method used

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  • A Stability Judgment Method for Uncertain Networked Multi-delay Systems
  • A Stability Judgment Method for Uncertain Networked Multi-delay Systems
  • A Stability Judgment Method for Uncertain Networked Multi-delay Systems

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Embodiment

[0164] Using the method for judging the stability of an uncertain networked multi-delay system proposed by the present invention, at the minimum time-delay boundary d of a given network time-delay min , find the maximum delay bound d of the network delay of the convex polyhedral uncertain networked control system max , so that when When , the closed-loop networked control system is robust and asymptotically stable. And for the deterministic situation of the networked control system at the three vertices of the convex polyhedron, when the minimum network delay boundary d is given min , the maximum network delay boundary d of the three vertices of the convex polyhedron is obtained max , and compare the results of several cases. The specific implementation method is as follows:

[0165] Step 1: The controlled object is an uncertain networked multi-delay control system with a convex polyhedron, and its state space model is:

[0166]

[0167] where x(k)∈R n is the augment...

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Abstract

The invention discloses a method for judging the stability of an uncertain networked multi-time-delay system, which establishes a closed-loop networked multi-time-delay control system model, and maps the uncertainty of the closed-loop networked multi-time-delay control system into a convex polyhedron parameter space to obtain Convex polyhedral uncertain networked multi-delay control system model; based on the constructed Lyapunov function, use the free weight matrix method to judge the delay-dependent robust stability of the convex polyhedral uncertain networked multi-delay control system, and obtain the delay correlation Sufficient conditions for robust stability. The invention avoids using the same Lyapunov function for all vertices of the convex polyhedron in the uncertain space, and reduces the conservatism of the sufficient condition for robust stability.

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...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G05B17/02
Inventor 吴彦鹏于军琪徐琳权炜
Owner XI'AN UNIVERSITY OF ARCHITECTURE AND TECHNOLOGY
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