Abstract
A new PD-like control law is proposed in this paper to control a multistable impacting system. This control law can switch the system from a current, undesired state to a desired one by using the differences of the displacement and velocity between the current and desired states. The control law can control the multistable system without affecting its original dynamics, and its stability is proved by using the Lyapunov direct method. Numerical results are compared with the results obtained by using the intermittent control studied in [1]. The proposed PD-like control shows a better performance in terms of the smoothness of its control signal, which is easier to be implemented in practical applications.
Highlights
Multistability exists in nature and engineering systems in various fields, such as biology [2], electronics [3] and mechanics [4]
In order to evaluate the performance of this proposed control law, an impact oscillator, which is a typical multistable system, is selected for investigation in this work
When a multistable system is controlled by a state switching control law, its dynamic model is written as follow
Summary
Multistability exists in nature and engineering systems in various fields, such as biology [2], electronics [3] and mechanics [4]. In order to control multistable systems, several control methods have been proposed, including steering the system by a feedforward control strategy [6], applying a short pulse to multistable systems [7], and using a pseudo-periodic force to destroy the undesired attractor [8]. Intermittent control applies an impulse force to the system in order to switch the system to the desired state This control law requires the information of the nonlinearity of the plant model, which is sometimes difficult to acquire accurately. In order to evaluate the performance of this proposed control law, an impact oscillator, which is a typical multistable system, is selected for investigation in this work It is a simple one degree of freedom system that models the basic mechanism for a variety of engineering systems, such as rotor, gearbox and percussive drilling system [9].
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
