Dynamically Triggered Estimator-Based Controller and Its Application on an Omnidirectional Robot

Abstract

In this paper, the issue of designing a dynamic event trigger mechanism for an estimator-based networked controller is discussed. Instead of separating the uncertainty estimation module and the control algorithm into two layers as most of the existing works do, the approach proposed in this paper can trigger the estimator and the controller simultaneously. Moreover, this paper is the first to consider nonlinear and state-correlated control gain matrix for both event-triggered observer design and event-triggered controller design. A new dynamically triggered extended state observer is first constructed for uncertain first-order systems with nonlinear and state-correlated control gain matrices. To avoid potential state oscillation, a new uncertainty estimator is then developed on the basis of the proposed observer. To ensure stability of the uncertainty estimator and the estimator-based controller simultaneously, a new dynamical event trigger mechanism that is free of Zeno behaviour is developed. Hardware-in-the-loop experiments based on an omnidirectional robot are also carried out to illustrate the potential of the new techniques in practice. <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">Note to Practitioners</i> —This article discusses the event-based control design of networked systems that can be implemented in areas such as intelligent transportation and robot-based rescue. We addressed two important practical issues in specific. The first one is how to perform adaptive event-based uncertainty estimation for nonlinear first-order systems. While the second question is how to develop a unified dynamic trigger scheme that determines if a new event has arrived based on both the uncertainty estimation error and the tracking error to maintain system stability. The proposed scheme can be attached to the sensor module to reduce the frequency of communication from the sensor to the controller. Based on the results of hardware-in-the-loop experiments, when the time-triggered step size is 8 ms and the desired speed of the rover does not exceed 0.144 m/s, the proposed scheme can reduce around <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$90\%$</tex-math> </inline-formula> of wireless data transmission without compromising much tracking precision. Meanwhile, a thorough analysis regarding what affects the ratio of the overall saved resources in practice is provided based on the results of comparative experiments.

Topics & Concepts