An application of matrix generalized inverses to optimal control problems of linear time-invariant discrete-time systems
Conference
·
OSTI ID:482003
- Embry-Riddle Aeronautical Univ., Daytona Beach, FL (United States)
Consider the time system Ex(k + 1) = Ax(k) + Bu(k) where E is a singular square matrix. It is assumed that the system is either a priori regular i is regularizable by a feedback law of the form u(k) = Ky(k) + V(k). or it The problem is this: Find an input sequence which will drive x(k) from a given x(0) to a desired {open_quotes}final vector{close_quotes} x(N) in a given number of steps N while minimizing the cost. The novelty of this paper`s approach is the use of singular-value decomposition and of weighted generalized inverses.
- OSTI ID:
- 482003
- Report Number(s):
- CONF-960503-; TRN: 97:002904-0035
- Resource Relation:
- Conference: 1. international conference on nonlinear problems in aviation and aerospace, Daytona Beach, FL (United States), 9-11 May 1996; Other Information: PBD: 1994; Related Information: Is Part Of First international conference on nonlinear problems in aviation & aerospace; Sivasundaram, S. [ed.]; PB: 729 p.
- Country of Publication:
- United States
- Language:
- English
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