This work describes a new procedure for dynamic optimization of controllable linear time-invariant (LTI) systems. Unlike the traditional approach, which results in 2 n first-order differential equations, the method proposed here yields a set of m differential equations, whose highest order is twice the controllability index of the system p. This paper generalizes the approach presented in a previous work to any controllable LTI system.
A Higher-Order Method for Dynamic Optimization of Controllable Linear Time-Invariant Systems
Contributed by the Dynamic Systems Division of ASME for publication in the Journal of Dynamic Systems, Measurement, and Control. Manuscript received March 21, 2011; final manuscript received August 1, 2012; published online November 7, 2012. Assoc. Editor: Rama K. Yedavalli.
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Zanotto, D., Rosati, G., and Agrawal, S. K. (November 7, 2012). "A Higher-Order Method for Dynamic Optimization of Controllable Linear Time-Invariant Systems." ASME. J. Dyn. Sys., Meas., Control. March 2013; 135(2): 021008. https://doi.org/10.1115/1.4007707
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