Hybrid Control of Flowrate in Microextrusion-Based Direct-Write Additive Manufacturing

Flowrate control has been a continuous challenge in Direct-Write Additive Manufacturing (DW AM) due to capacitive energy storage in the system and the lack of suitable flowrate sensors at the microscale, resulting in poor dimensional control of material addition. While a pressure sensor can be used for pressure-based feedback control, the system will become marginally stable if the material loses contact with the pressure sensor, and thus feedback is lost. In this letter, we design and implement a pressure-based hybrid controller with a state-dependent switching strategy that eliminates the stability problem due to a loss of pressure feedback, and thus enables the real time, stable control of flowrate in DW AM. The stability of the hybrid controller is assessed using phase portraits and Multiple Lyapunov-like Functions. The hybrid dynamical model and the hybrid controller are experimentally implemented and validated. Stability results indicate that the hybrid controller resolved the marginal stability issue, and is stable in the sense of Lyapunov. Moreover, the hybrid control scheme implementation in the case study demonstrated that the shape fidelity of the parts is appreciably enhanced compared to the open loop control case.

[1]  João Pedro Hespanha,et al.  Modeling and analysis of networked control systems using stochastic hybrid systems , 2014, Annu. Rev. Control..

[2]  A. Alleyne,et al.  Design and manufacture of combinatorial calcium phosphate bone scaffolds. , 2011, Journal of biomechanical engineering.

[3]  Wpmh Maurice Heemels,et al.  Introduction to hybrid systems , 2009 .

[4]  Ali Khademhosseini,et al.  Direct-write 3D printing and characterization of a GelMA-based biomaterial for intracorporeal tissue engineering , 2020, Biofabrication.

[5]  S. Shankar Sastry,et al.  Conflict resolution for air traffic management: a study in multiagent hybrid systems , 1998, IEEE Trans. Autom. Control..

[6]  Timothy J Horn,et al.  Overview of Current Additive Manufacturing Technologies and Selected Applications , 2012, Science progress.

[7]  Anders Rantzer,et al.  Computation of piecewise quadratic Lyapunov functions for hybrid systems , 1997, 1997 European Control Conference (ECC).

[8]  R. Decarlo,et al.  Perspectives and results on the stability and stabilizability of hybrid systems , 2000, Proceedings of the IEEE.

[9]  A. Morse,et al.  Basic problems in stability and design of switched systems , 1999 .

[10]  A.G. Alleyne,et al.  Iterative Learning Control for robotic deposition using machine vision , 2008, 2008 American Control Conference.

[11]  Andrew G. Alleyne,et al.  Basis Task Approach to Iterative Learning Control With Applications to Micro-Robotic Deposition , 2011, IEEE Transactions on Control Systems Technology.

[12]  Roger W. Brockett,et al.  Hybrid Models for Motion Control Systems , 1993 .

[13]  R. P. Chhabra,et al.  Non-Newtonian Flow and Applied Rheology: Engineering Applications , 2008 .

[14]  Ali Asghari Adib,et al.  Hybrid System Model of Microextrusion-Based Direct-Write Additive Manufacturing , 2019, 2019 American Control Conference (ACC).

[15]  K H Kang,et al.  Rapid 3D printing of anatomically accurate and mechanically heterogeneous aortic valve hydrogel scaffolds , 2012, Biofabrication.