Delay dependent robust stabilizing strategy for uncertain neutral systems

A time-delay and strategy technology, applied in general control systems, control/regulation systems, instruments, etc., can solve problems such as less conservatism, increased difficulty of control design, and instability of neutral systems

Inactive Publication Date: 2009-12-02
JIANGNAN UNIV
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  • Abstract
  • Description
  • Claims
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Problems solved by technology

However, in terms of both improved control performance and less conservatism, the effect is not satisfactory
In particular, unlike slowly varying systems, neutral systems may become unstable

Method used

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  • Delay dependent robust stabilizing strategy for uncertain neutral systems
  • Delay dependent robust stabilizing strategy for uncertain neutral systems
  • Delay dependent robust stabilizing strategy for uncertain neutral systems

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Embodiment Construction

[0039] 1. In the present invention: represents the set of real numbers, Represents n-dimensional Euclidean space, Represents the set of all m×n real matrices. X≥Y means that X-Y is semi-positive definite (X>Y means that X-Y is positive definite,), where X and Y are symmetric matrices; λ max (P) and λ min (P) denote the largest and smallest eigenvalues ​​of the matrix P, respectively. ||·|| denotes the Euclidean vector norm or induced matrix 2-norm. symbol Indicates that the interval [-d, 0] is mapped to Banach spaces of continuous vector functions. I represents the proper dimension identity matrix. for any vector sat(u i ) = sign(u i )min{u i ,|u i |}, 0i . a collection The convex hull of The smallest convex set; for a set of points x 1 , x 2 ,..., The convex hull of these points is: Co { x 1 , x 2 , · · · ...

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Abstract

The invention discloses a control method for developing time delay and derivative dependency thereof through a linear memoryless state feedback control law for uncertain neutral systems with time-varying delay, incentive restraint and norm-bounded parameters to ensure local stabilization of a closed ring system in a predetermined attraction domain in an initial state, provides an LMI optimization method to design state feedback gain to make an estimation value in the attraction domain maximum, solves an attraction domain estimation value with less conservative property based on a Lyapunov-Krasovskii function method, and provides solution conditions and solution strategies for the deigns in an LMI form.

Description

technical field [0001] The present invention relates to a class of robust stabilization of uncertain neutral systems with time-varying time-delay and saturated excitations, specifically a class of uncertain neutral systems with time-varying time-delays in state and saturated nonlinear input time-delays and Its derivative relies on robust stabilization techniques. Background technique [0002] Time lag phenomenon is often encountered in many practical systems, such as electrical, pneumatic, hydraulic networks, chemical processes, long-distance transmission and so on. Time-delay is the source of system instability and oscillation. Therefore, the study of time-delay systems has been a hot topic in control research in recent years. The problem of robust stability of uncertain systems with time delays has attracted much attention. The existing asymptotic stability criteria for time-delay systems can be divided into delay-independent stability and delay-dependent stability. As ...

Claims

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Application Information

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IPC IPC(8): G05B13/02
Inventor 屈百达
Owner JIANGNAN UNIV
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