A design method for an output feedback controller with a time varying sampling period

Abstract

The invention provides a design method for an output feedback controller with a time varying sampling period. The method comprises the steps of setting time delay of a network control system to be a constant value and to be less than a sampling period, wherein a time varying sampling period is bounded, packet loss meets a Bernoulli random sequence and the probability is known; discretizing an original linear time invariant network control system and obtaining a discrete time varying system with uncertain items through conversion; obtaining the maximum singular value of a matrix and a conjugate transpose matrix through solving to obtain parameters in the discrete time varying system; according to state variables received by a controller and the obtained parameters in the discrete time varying system, building a dynamic output feedback controller; combining the built linear matrix inequality and the Lyapunov stability principle, solving the matrix in the feedback controller to determine and obtain a dynamic output feedback controller. The method takes into consideration the instability of sampling periods of network control systems, has the advantages of clear design thought, high stability and simple operation and can be applied to engineering practices.

Description

technical field [0001] The invention relates to a design method of an output feedback controller with a time-varying sampling period, and belongs to the technical field of controller design. Background technique [0002] Over the past ten years, with the rapid development of computer technology and communication technology, the network has become a theme and integrated into every corner of society. In the field of control, the network has gradually become the mainstream, which greatly affects the development of the control structure. In the past, the components of the control system were basically connected to each other through point-to-point wired connections, but this centralized point-to-point system cannot meet the increasingly complex control objects and the gradually expanding distribution area. The shortcomings of expansion are also becoming more and more prominent, and it cannot meet the gradually improved control performance requirements. In this environment, net...

AI Technical Summary

Problems solved by technology

These problems will affect the overall performance of the system

[0004] There have been many related researches on the problems that affect the performance of the network control system, but most of the researches only focus on the network delay and packet loss in the system, and do not pay attention to the problem of unstable sampling period. Period is set as a constant value to consider

In addition, for the design of the controller, most of them adopt the state feedback method to design, but in fact, for the NCS with complex structure and function, it is often difficult to fully detect the state of the system.

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