Open Access
Consideration of computer limitations in implementing on-line controls
TLDR
In this paper, a formal statement of the optimal control problem which includes the interval of dicretization as an optimization parameter, and extend this to include selection of a control algorithm as part of the optimization procedure, is formulated.Abstract:
A formal statement of the optimal control problem which includes the interval of dicretization as an optimization parameter, and extend this to include selection of a control algorithm as part of the optimization procedure, is formulated. The performance of the scalar linear system depends on the discretization interval. Discrete-time versions of the output feedback regulator and an optimal compensator, and the use of these results in presenting an example of a system for which fast partial-state-feedback control better minimizes a quadratic cost than either a full-state feedback control or a compensator, are developed.read more
Citations
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Journal ArticleDOI
The digital implementation of control compensators: The coefficient wordlength issue
TL;DR: In this paper, a procedure for estimating the required fixed-point coefficient wordlength for any given computational structure for the implementation of a single-input single-output LQG design is presented.
Journal ArticleDOI
Relationships between digital signal processing and control and estimation theory
TL;DR: Topics such as stability theory, linear prediction, and parameter identification, system synthesis and implementation, two-dimensional filtering, decentralized control and estimation, and image processing are examined in order to uncover some of the basic similarities and differences in the goals, techniques, and philosophy of the two disciplines.
Journal ArticleDOI
Roundoff noise and scaling in the digital implementation of control compensators
TL;DR: This paper uses, adapt, and extends the ideas developed in digital signal processing to the issue of roundoff noise in digital linear-quadratic-Gaussian (LQG) compensators, and examines the round off noise effects for a particular LQG example and several different implementation structures.
Journal ArticleDOI
Architectural issues in the implementation of digital compensators
TL;DR: The concepts of serialism and parallelism are shown to involve essentially the same considerations for digital compensators as for digital filters, however, the same cannot be said of pipelining, due to the feedback loop.
Implementation of digital compensators
TL;DR: The concepts of serialism and parallelism are shown to involve essentially the same considerations for digital compensators as for digital filters, however, the same cannot be said of pipelining, due to the feedback loop.
References
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Journal ArticleDOI
New Results in Linear Filtering and Prediction Theory
R. E. Kalman,R. S. Bucy +1 more
TL;DR: The Duality Principle relating stochastic estimation and deterministic control problems plays an important role in the proof of theoretical results and properties of the variance equation are of great interest in the theory of adaptive systems.
Journal ArticleDOI
Optimal control: An introduction to the theory and ITs applications
Stephen Kahne,E. Lee +1 more
Book
Optimal Control. An Introduction to the Theory and Its Applications
Michael Athans,Peter Falb +1 more
Journal ArticleDOI
The design of suboptimal linear time-varying systems
D. Kleinman,Michael Athans +1 more
TL;DR: In this article, the authors deal with the determination of suboptimal feedback laws for the control of linear time-varying systems with quadratic performance criteria, where easily implementable time functions are used to generate the required time varying gains; free constant parameters in the control law description are chosen so as to minimize an averaged control cost.
Journal ArticleDOI
On the design of linear systems with piecewise-constant feedback gains
TL;DR: The theory and the computational algorithm required to determine the piecewise-constant feedback gains for the optimal control of a linear system with quadratic performance index over a finite control interval is presented.