Digital H/sup ∞/-control with measurement-feedback for Pritchard-Salamon systems. I. The equivalent discrete-time control problem

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.

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Complexity Analysis of the Piece-Wise Affine Approximation for the Car on the Nonlinear Hill Model Related To Discrete–Time, Minimum Time Control Problem

Elektronika ir Elektrotechnika ◽

10.5755/j01.eee.20.10.4454 ◽

2014 ◽

Vol 20 (10) ◽

Cited By ~ 2

Author(s):

P. Orlowski

Keyword(s):

Control Problem ◽

Discrete Time ◽

Complexity Analysis ◽

Minimum Time ◽

Hill Model ◽

Time Control

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

Systems & Control Letters ◽

10.1016/j.sysconle.2012.01.015 ◽

2012 ◽

Vol 61 (4) ◽

pp. 513-520 ◽

Cited By ~ 5

Author(s):

Kotaro Hashikura ◽

Yoshito Ohta ◽

Akira Kojima

Keyword(s):

Control Problem ◽

Discrete Time ◽

Internal State ◽

Minimum Phase ◽

Decomposition Approach ◽

Time Control ◽

Phase Property

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

Journal of Vibration and Acoustics ◽

10.1115/1.1350568 ◽

2000 ◽

Vol 123 (2) ◽

pp. 245-249 ◽

Cited By ~ 2

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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