研究目的
To design adaptive controllers for a piezoelectric micro-electromechanical device without and with discontinuity, and to study its dynamics using the bifurcation diagram to observe the regions of periodic and chaotic motions.
研究成果
The adaptive controllers, especially the backstepping design, effectively restore the system's desired performance more rapidly than the classic adaptive controller. The study demonstrates the potential of adaptive control strategies in managing disturbances in piezoelectric micro-actuators.
研究不足
The study relies on numerical simulations, and practical implementation may face challenges such as delays in measuring mechanical deviations and applying control strategies. The choice of Lyapunov function for control design is non-trivial and may affect the system's response.
1：Experimental Design and Method Selection:
The study involves the modelling of a piezoelectric actuator with and without discontinuity, using the bifurcation diagram to observe dynamics. The Lyapunov theory is applied to design adaptive controllers.
2：Sample Selection and Data Sources:
The system parameters are taken from previous studies, including mechanical and electrical properties of the piezoelectric actuator.
3：List of Experimental Equipment and Materials:
Piezoelectric transducer, voltage source, resistor, mechanical structure (rigid rod), and elastic workpiece.
4：Experimental Procedures and Operational Workflow:
The system's dynamics are analyzed under different conditions (with and without discontinuity), and adaptive controllers are designed and tested through numerical simulations.
5：Data Analysis Methods:
The effectiveness of the controllers is evaluated by observing the convergence of the system's performance to the desired state.
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