An internal state decomposition approach to a discrete-time control problem with irrational input non-minimum phase property

2012 ◽  
Vol 61 (4) ◽  
pp. 513-520 ◽  
Author(s):  
Kotaro Hashikura ◽  
Yoshito Ohta ◽  
Akira Kojima
Keyword(s):  
Control Problem ◽  
Discrete Time ◽  
Internal State ◽  
Minimum Phase ◽  
Decomposition Approach ◽  
Time Control ◽  
Phase Property

scholarly journals A duality approach ot discrete time control theory

1978 ◽  
Vol 20 (3) ◽  
pp. 257-264
Author(s):  
C.H. Scott ◽  
T.R. Jefferson
Keyword(s):  
Optimal Control ◽  
Maximum Principle ◽  
Optimal Control Problem ◽  
Control Theory ◽  
Control Problem ◽  
Discrete Time ◽  
Geometric Programming ◽  
Dual Problem ◽  
Time Control ◽  
Duality Approach

AbstractIn this paper we use the theory of generalized geometric programming to develop a dual for a discrete time convex optimal control problem. This has interesting interpretational implications. Further it is shown that the variables in the dual problem are intimately related to the costate vector in the usual Maximum Principle approach.

A Sampled-Data Formulation for Boundary Control of a Longitudinal Elastic Bar

2000 ◽  
Vol 123 (2) ◽  
pp. 245-249 ◽  
Author(s):  
Wu-Chung Su ◽  
Sergey V. Drakunov ◽  
U¨mit O¨zgu¨ner
Keyword(s):  
Control Problem ◽  
Boundary Control ◽  
Discrete Time ◽  
Inequality Constraints ◽  
Sampling Period ◽  
Sampled Data ◽  
Discrete Time System ◽  
Time Control ◽  
Finite Dimensional Approximation ◽  
Dimensional Approximation

The sampled-data boundary control problem for a longitudinal flexible bar is formulated as a linear discrete-time control problem in an infinite-dimensional state space. With zero-order-hold applied to the control channel, the system is lifted into an infinite sequence of constant control problems. The finite-dimensional approximation of the discrete-time system is controllable-observable if the sampling period satisfies some inequality constraints, which are related to the associated eigenvalues.

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