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Journal ArticleDOI

On the design of a sensitivity-reducing optimal dead-beat controller

M. Gopal, +1 more
- 01 Oct 1985 - 
- Vol. 42, Iss: 4, pp 877-886
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TLDR
In this paper, a method is proposed for the design of constant gain feedback control laws for linear multivariable discrete-time systems which reduce trajectory sensitivity to small system parameter variations and ensure the closed-loop eigenvalues at the origin.
Abstract
A method is proposed for the design of constant-gain feedback-control laws for linear multivariable discrete-time systems which reduce trajectory sensitivity to small system parameter variations and ensure the closed-loop eigenvalues at the origin The given quadratic index of performance including a sensitivity term is minimized in an average sense An efficient computational procedure based on direct cost optimization using gradient type algorithm is also reported An example is worked out to illustrate the proposed technique

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Citations
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Book ChapterDOI

Techniques in Deadbeat and One-step-ahead Control

TL;DR: In this paper, the development of deadbeat control and one-step-ahead control were compared and contrasted, and the unification of the two areas was discussed, and some possible points of confusion were identified.
Journal ArticleDOI

Sensitivity reduction by state derivative feedback.

TL;DR: In this paper, the sensitivity of state feedback control systems can be reduced by adding additional state derivative feedback, for a fixed closed-loop eigenstructure, and the price of this sensitivity reduction is in general noise response amplification.
Journal ArticleDOI

A connection between state-space and doubly coprime matrix-fraction descriptions of multivariable systems

TL;DR: In this paper, explicit formulas for doubly coprime matrix fraction descriptions (MFDs) of the transfer matrix of a linear time-invariant state-space system are given in terms of a controllable and observable state space realization of the transferred matrix.
Book ChapterDOI

Sensitivity Reduction and Robustness

TL;DR: In Chapters Two to Five the authors devote their attentions primarily to issues regarding parameter-sensitivity analysis, and incorporate in control synthesis algorithm any information regarding possible discrepancies in system “output”, in order to generate new controllers that can stand against the consequences of some possible uncertainties.
Proceedings ArticleDOI

Control of Linear Systems by Output Proportional Plus Derivative Feedback

TL;DR: In this article, a control design procedure for linear time invariant systems using output proportional plus derivative feedback is presented, which has been applied to obtain an improved autopilot for the lateral dynamics of an L1011 aircraft.
References
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Journal ArticleDOI

Solution of the optimal constant output feedback problem by conjugate gradients

TL;DR: The problem of finding the optimal, constant output feedback matrix for linear time-invariant multivariable systems with quadratic cost is reconsidered and simple formulae for the gradient matrix are developed and used in a Fletcher-Powell-Davidon algorithm.
Journal ArticleDOI

Optimization of linear systems of constrained configuration

TL;DR: In this article, it is shown that for each of these criteria the gradient with respect to the feedbacks can be calculated by a uniform method and the solution may then be found either directly or by a descent procedure.
Journal ArticleDOI

Optimization of linear multivariable systems with prespecified closed-loop eigenvalues

TL;DR: In this paper, the optimal control of linear time-invariant systems, with respect to a given quarature performance criterion, is investigated when the closed-loop eigenvalues are prespecified.
Journal ArticleDOI

Deadbeat control of linear multivariable discrete-time systems

TL;DR: In this paper, a simple closed-form control law for the deadbeat control of a class of linear multivariable discrete-time systems is presented. But it does not consider the nonlinearity of linear systems.
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