Switching linear system H_infinity control method based on dynamic event triggering

Abstract

The invention discloses a switching linear system H_infinity control method based on dynamic event triggering. The method mainly comprises: introducing dynamic event triggering control into a switching system, defining a state error function, and constructing a state feedback error system of the switching system; aiming at a constructed switching system state error equation, applying a piecewise Lyapunov function, obtaining a switching signal enabling the switching linear system to be stable and a sufficient condition enabling the switching linear system to meet the existence of a controller of an H_infinity control performance index on the basis of an average residence time division method, and the sufficient condition being a matrix inequality; and converting the matrix inequality into alinear matrix inequality, and solving the linear matrix inequality to obtain state feedback gains of all subsystems in the switching linear system. According to the design scheme provided by the invention, the transmission frequency of the control signal can be effectively reduced while the performance of the switching linear system is ensured, and communication resources are effectively saved.

Description

technical field [0001] The present invention relates to the H_infinity (H ∞ ) Control technology field, more specifically, relate to a kind of switching linear system H based on event-triggered control ∞ controller design method. Background technique [0002] A switched system consists of a series of continuous or discrete subsystems and switching rules describing the switching between these subsystems. Switching rules control the operation and switching between subsystems, which can make the system complete more complex control tasks. At the same time, the existence of switching rules also makes the analysis and control of switching systems more complicated. Specifically, if all subsystems are unstable, an appropriate switching rule can stabilize the system. Likewise, even if all subsystems are stable, the whole system may be unstable under the effect of switching rules. Stability is still the most important issue in the field of switching systems. [0003] Currently, ...

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Problems solved by technology

Whether it is necessary or not, this method will inevitably lead to a waste of transmission resources, especially when the operating state of the system tends to be stable and there is no external interference

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