Control Method for Sampled-Data Systems with Multiple Channels Based on Deadband-Triggered Scheme

A new deadband-triggered scheme is proposed to investigate the control problems for sampled-data systems with multiple transmitting channels. Sampled-data systems simultaneously contain continuous-time and discrete-time signals, which make the systems hybrid. In the sampled-data systems with multiple channels, the every state signals are transmitting at different channels. The deadband communication constraint is adopted to reduce the usage of communication resources. When the difference between the previous value and the most present value is lager than a given threshold of deadband, then the node of channels transmits the most present value. Furthermore, by use of Lyapunov functional method and input delay approach, the new stability analysis and stabilization conditions for the sampled-data with multiple channels on the basis of deadband-triggered scheme are proposed. Numerical simulations and experiments show the validity and usefulness of the derived conditions. The proposed deadband-triggered scheme is beneficial to further reduce the load of the communication data.

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Stability analysis of sampled-data systems via novel Lyapunov functional method

Information Sciences ◽

10.1016/j.ins.2021.11.071 ◽

2021 ◽

Author(s):

Zhaoliang Sheng ◽

Chong Lin ◽

Bing Chen ◽

Qing-Guo Wang

Keyword(s):

Stability Analysis ◽

Lyapunov Functional ◽

Functional Method ◽

Data Systems ◽

Sampled Data ◽

Lyapunov Functional Method

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Continuous control of sampled data systems with robustness against bounded measurement errors

Transactions of the Institute of Measurement and Control ◽

10.1177/0142331217716982 ◽

2017 ◽

Vol 40 (10) ◽

pp. 3125-3133

Author(s):

Milad Ghanbari ◽

Masoud Bahraini ◽

Mohammad Javad Yazdanpanah

Keyword(s):

Measurement Errors ◽

Control Method ◽

Linear Time ◽

Continuous Control ◽

Data Systems ◽

Sampled Data ◽

Linear Time Invariant ◽

Experimental Implementation ◽

Time Invariant ◽

Ultimate Bound

This paper considers the design of a generalized hold function to be used for the control of sampled-data systems. The proposed method suggests a continuous controller for sampled data systems. Ultimate boundedness of the proposed method in the presence of bounded measurement errors is also shown for linear and nonlinear systems. In linear time invariant cases, a cost function is suggested for the sake of ultimate bound minimization. In addition, this can answer how we choose a sensor for a real system to get a desired control outcome. Eventually, the effectiveness of the proposed control method is investigated through simulation and experimental implementation.

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Chattering-Free Reference Sliding Variable-Based SMC

Mathematical Problems in Engineering ◽

10.1155/2020/3454090 ◽

2020 ◽

Vol 2020 ◽

pp. 1-16

Author(s):

Katarzyna Adamiak

Keyword(s):

Control Method ◽

Sliding Mode ◽

Band Width ◽

Data Systems ◽

State Variables ◽

Sampled Data ◽

Control Scheme ◽

Chattering Free ◽

Chattering Elimination ◽

Selection Of

The paper addresses the problem of chattering elimination in sliding mode control for sampled data dynamical systems and proposes an innovative control scheme. The key to the proposed control method is utilizing a pregenerated nonswitching type reference sliding variable profile to control the disturbed plant. As sampled data systems contain sample-and-hold devices in their input and output channels, we carry out a discrete time analysis. We consider the discretization effects on the controller in two aspects: the pace of convergence of the system and the ultimate band width. Consequently, in the reference sliding variable generator, we analyse two reaching laws, differently adapting to changes of the controller’s frequency. We prove that this approach not only minimizes the chattering phenomenon but also provides a reduction of the quasi-sliding mode band width, which in general case remains of O(T) order. Furthermore, the proposed control method incorporates a disturbance compensation algorithm, which results in the ultimate band width of O(T2) order. Finally, we also show that a certain selection of the sliding plane guarantees limitation of all the state variables’ errors to O(T2) order as well. Therefore, the proposed control algorithm significantly improves the system’s robustness.

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