Abstract
An optimal control problem is formulated in the context of linear, discrete-time, periodic systems. The cost is the supremum over all exogenous inputs in a weighted ball of plant inputs. The controller is required to be causal, periodic of the fixed order of the system and to achieve internal stability. Existence of an optimal controller is proved and a formula for the minimum cost is derived.
Original language | English |
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Pages (from-to) | 1076-1085 |
Number of pages | 10 |
Journal | SIAM Journal on Control and Optimization |
Volume | 24 |
Issue number | 5 |
DOIs | |
State | Published - 1 Jan 1986 |
ASJC Scopus subject areas
- Control and Optimization
- Applied Mathematics