H_infinity control method for switched linear systems based on dynamic event triggering

Abstract

The invention discloses a switching linear system H_infinity control method based on dynamic event triggering, which mainly includes: introducing dynamic event triggering control into the switching system, defining a state error function, and constructing a state feedback error system of the switching system; aiming at constructing the switching system The state error equation, applying the piecewise Lyapunov function, and based on the average dwell time method, obtains the switching signal that makes the switched linear system stable and the sufficient condition for the existence of a controller that makes the switched linear system meet the H_infinity control performance index. The sufficient condition is a matrix inequality; transform the matrix inequality into a linear matrix inequality, solve the linear matrix inequality, and obtain the state feedback gains of all subsystems in the switched linear system. The design solution provided by the invention can effectively reduce the number of control signal transmissions and effectively save communication resources while ensuring the performance of the switching linear system.

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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