The problem of controlling several piezoelectric actuators using a smaller number of power drivers is considered. A multiplexed arrangement is examined where power and control are applied cyclically to subsets of actuators, introducing periodicity in the dynamics of the controlled plant. A model for the multiplexed scheme along with a periodic quadratic regulator are presented, as well as an observer-based arrangement. The feasibility of the proposed technique is demonstrated experimentally by using a single power driver to control a cantilever beam fitted with three piezoelectric actuators.
Bittanti, S., Colaneri, P. and De Nicolao, G.1991. ``The Periodic Riccati Equation,'' In: Bittanti, S., Laub, J.A. and Willems, J.C. (eds), The Riccati Equation., pp. 127-162, Springer.
2.
Demetriou, M.A.2001. ``Optimal Switching Policy of Smart Actuators in Flexible Structures,''Proceedings of SPIE: Smart Structures and Materials 2001: Modeling, Signal Processing and Control in Smart Structures , Vol. 4326 of pp. 220-231, Newport Beach , California.
3.
Demetriou, M.A. and Potami, R.2006. ``Scheduling Policies of Intelligent Sensors and Sensors/Actuators in Flexible Structures,''Proceedings of SPIE: Smart Structures Materials 2006: Sensors and Smart Structures for Civil, Mechanical and Aerospace Systems, p. 6174, San Diego, California.
4.
Geromel, J.C.1989. ``Convex Analysis and Global Optimization of Joint Actuator Location Control Problems,'' IEEE Transactions on Automatic Control, 34(7):711-720.
5.
Grasselli, O.M.1984. ``A Canonical Decomposition of Linear Periodic Systems ,'' International Journal of Control, 40(1):201-214.
6.
Madgav, A.V.G. and Soh, C.K.2008. ``Uniplexing and Multiplexing of PZT Transducers Structural Health Monitoring,'' Journal of Intelligent Material Systems and Structures, 19:457-467.
7.
Richter, H., Singaraju, A.V. and Litt, J.S.2008. ``Multiplexed Predictive Control of a Large Commercial Turbofan Engine,'' AIAA Journal of Guidance, Dynamics and Control, 31(2):273-281.
8.
Song, H., Simonov, A.N. and Vdovin, G.2005. ``Multiplexing Control of a Multichannel Piezoelectric Deformable Mirror,''5th International Workshop on Adaptive Optics for Industry and Medicine, Beijing, China, pp. 419-428.
9.
Sreedhar, J. and Van Dooren, P.1994. ``On Finding Stabilizing State Feedback Gains for a Discrete Time Periodic System,''Proc. 1994 American Control Conference, pp. 1167-1168, Baltimore, Maryland.
10.
Varga, A.1997. ``Periodic Lyapunov Equations: Some Applications and New Algorithms,'' International Journal of Control, 67(1):69-87.
