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Factorization and the synthesis of optimal feedback gains for distributed parameter systemsAn approach based on Volterra factorization leads to a new methodology for the analysis and synthesis of the optimal feedback gain in the finite-time linear quadratic control problem for distributed parameter systems. The approach circumvents the need for solving and analyzing Riccati equations and provides a more transparent connection between the system dynamics and the optimal gain. The general results are further extended and specialized for the case where the underlying state is characterized by autonomous differential-delay dynamics. Numerical examples are given to illustrate the second-order convergence rate that is derived for an approximation scheme for the optimal feedback gain in the differential-delay problem.
Document ID
19900060236
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Milman, Mark H. (Jet Propulsion Lab., California Inst. of Tech. Pasadena, CA, United States)
Scheid, Robert E. (JPL Pasadena, CA, United States)
Date Acquired
August 14, 2013
Publication Date
September 1, 1990
Publication Information
Publication: SIAM Journal on Control and Optimization
Volume: 28
ISSN: 0036-1410
Subject Category
CYBERNETICS
Distribution Limits
Public
Copyright
Other