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Journal ArticleDOI

On the linear servomechanism problem

Shankar P. Bhattacharyya, +1 more
- 01 Nov 1970 - 
- Vol. 12, Iss: 5, pp 795-806
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TLDR
In this paper, a generalization of the standard optimal control problem can be obtained in such a manner that optimal control is possible by feeding system outputs into a dynamic controller which operates only on past and present values of these outputs.
Abstract
This paper considers the problem of the optimal control of a linear servomechanism using output feedback. It is shown that a generalization of the standard optimal control problem can be obtained in such a manner that optimal control is possible by feeding system outputs into a dynamic controller which operates only on past and present values of these outputs. This represents a new approach to the design of controllers for linear systems which may play an important role in applications of optimal control theory. It allows the linear servomechanism problem to be treated, for the first time, in a realistic manner.

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Citations
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Journal ArticleDOI

A process-model control for linear systems with delay

TL;DR: A new process-model control system which can yield zero steady-state error and desired transient responses to step disturbances and arbitrary initial conditions is proposed.
Journal ArticleDOI

Optimal continuous finite preview problem

TL;DR: It is shown how to utilize the local future information obtained by finite preview to minimize an optimality criterion evaluated over the problem duration, which distinguishes the present problem from the optimal tracking problem.
Journal ArticleDOI

Design of linear multivariable continuous-time tracking systems

TL;DR: In this paper, simple matricial methods are used to develop a basis for the design of multivariable continuous-time tracking systems which are generalized versions of classical single-input single-output servomechanisms.
Journal ArticleDOI

Output Regulation of Nonlinear Systems With Application to Roll-to-Roll Manufacturing Systems

TL;DR: In this article, the problem of tracking reference signals can also be handled by synthesizing feedforward control to aid the regulation of output of a nonlinear system in the presence of partially known exogenous inputs.
Dissertation

The optimal finite preview problem and its application to man-machine systems.

TL;DR: This paper is intended to demonstrate the efforts of the Massachusetts Institute of Technology’s graduate students to improve the quality of their teaching and research in the field of Mechanical Engineering.
References
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Book

The Theory of Matrices

TL;DR: In this article, the Routh-Hurwitz problem of singular pencils of matrices has been studied in the context of systems of linear differential equations with variable coefficients, and its applications to the analysis of complex matrices have been discussed.
Journal ArticleDOI

Observers for multivariable systems

TL;DR: In this article, it was shown that the design of an observer for a system with M outputs can be reduced to the design for m separate observers for single-output subsystems.
Book

Modern Control Theory

TL;DR: The relationship between state variable and transfer function descriptions of linear feedback control systems is discussed in this paper, along with the relationship between the Cayley Hamilton Theorem and state variable descriptions of systems.