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Multivariate controllers for LQG self-tuning applications with coloured measurement noise and dynamic cost weighting

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TLDR
In this article, a solution of the generalized LQG stochastic optimal multi variable control problem is obtained using a polynomial-matrix-systems approach using a dual performance index including the usual error and control weighting terms and also sensitivity and complementary sensitivity weighting matrices.
Abstract
A solution of the generalized LQG stochastic optimal multi variable control problem is obtained using a polynomial-matrix-systems approach. The generalized problem involves a dual performance index including the usual error and control weighting terms and also sensitivity and complementary sensitivity weighting matrices. The system model includes input disturbance, reference and coloured measurement noise signals. The cost-function weighting operators can also represent dynamical systems. The problem description was motivated by the need to construct multi-variable explicit self-tuning controllers for marine applications.

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Citations
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Journal ArticleDOI

Polynomial Matrix Solution of the H/Infinity/ Filtering Problem and the Relationship to Riccati Equation State-Space Results

TL;DR: A solution to the standard suboptimal H, filtering problem is presented using a new polynomial systems approach, closely related to the recent H, state-space-based Riccati equation results, and the links between thePolynomial and state-equation methodologies are demonstrated.
Journal ArticleDOI

Two and a half degrees of freedom LQG controller and application to wind turbines

TL;DR: A Kucera type of polynomial solution is presented which provides a theoretical basis for the structure adopted and has the advantage that low frequency tracking properties can be achieved, as in single degree-of-freedom designs, but no constraints then apply to the high frequency tracking behaviour, since it is effectively determined by a two degrees- of-freedom structure.
Journal ArticleDOI

Survey of industrial optimized adaptive control

TL;DR: In this paper, the authors present the state-of-the-art of a class of optimized adaptive control methodologies, where adaptive systems theory is complemented by optimal control theory.
Journal ArticleDOI

A novel derivation methodology for polynomial-LQ controller design

TL;DR: A simple derivation method for optimization of linear-quadratic (LQ) controllers is presented in the discrete-time polynomial systems framework and is exemplified on a disturbance measurement feedforward and an output feedback problem.
Journal ArticleDOI

Polynomial LQG control of back-up-roll eccentricity gauge variations in cold rolling mills

TL;DR: A new polynomial systems formulation for the problem of controlling the Back-Up-Roll eccentricity gauge variation caused by non-circular Back- up-Rolls is presented and the implications of this approach are discussed.
References
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Journal ArticleDOI

Feedback system design: The fractional representation approach to analysis and synthesis

TL;DR: In this paper, the problem of designing a feedback system with prescribed properties is attacked via a fractional representation approach to feedback system analysis and synthesis, and the theory is formulated axiomatically to permit its application in a wide variety of system design problems and is extremely elementary in nature requiring no more than addition, multiplication, subtraction and inversion for its derivation even in the most general settings.
Journal ArticleDOI

Modern Wiener--Hopf design of optimal controllers Part I: The single-input-output case

TL;DR: In this article, an analytical feedback design technique is presented for single-input-output processes which are characterized by their rational transfer functions, and the design procedure accounts for the topological structure of the feedback system ensuring asymptotic stability for the closed-loop configuration.
Journal ArticleDOI

A general transfer-function approach to the steady-state linear quadratic Gaussian stochastic control problem

TL;DR: In this paper, a transfer-function approach is proposed to solve the steady-state linear quadratic Gaussian stochastic control problem based on the transfer function point of view, and the optimal solution is found by exploiting the properties of the newly defined generalized spectral factors.
Proceedings ArticleDOI

Robust LQG design of discrete systems using a dual criterion

TL;DR: In this paper, the solution to a linear quadratic stochastic optimal control problem is obtained for a discrete-time system, where the performance criterion to be minimised includes the usual error and control weighting terms but has in addition sensitivity and complementary sensitivity weighting matrices.

Model tests and full-scale trials with a rudder roll stabilization system

TL;DR: In this paper, the authors developed a mathematical model to describe the transfer between the rudder and the yaw and roll motions, which has been extensively tested with computer simulations, scale-model experiments in open water and full-scale trials on a ship of the Royal Netherlands Navy.
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