Journal ArticleDOI
Controller synthesis for sign-invariant impulse response
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This paper shows that a necessary and sufficient condition on the plant for the existence of a compensator that makes the closed loop impulse response sign invariant is that there be no real, positive, nonminimum phase plant zeros.Abstract:
In this paper, we consider the problem of designing controllers for discrete-time linear time-invariant (LTI) plants that render the closed-loop impulse response nonnegative. Such systems have a non-undershooting and non-overshooting step response. We first show that the impulse response of any discrete-time LTI system changes sign at least "r" times if it has "r" real, positive zeros outside a circular disk centered at the origin and containing all its poles. We then show that a necessary and sufficient condition on the plant for the existence of a compensator that makes the closed loop impulse response sign invariant is that there be no real, positive, nonminimum phase plant zeros. Finally, we show, by construction, how such a compensator may be synthesized when the plant does satisfy the existence condition.read more
Citations
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Journal ArticleDOI
A unified method for the design of nonovershooting linear multivariable state-feedback tracking controllers
TL;DR: A unified design method is presented that can be applied to continuous and discrete time systems, square and non-square systems, minimum and nonminimum phase systems, and also strictly proper and nonstrictly proper systems.
Journal ArticleDOI
Brief On the synthesis of controllers for continuous time LTI systems that achieve a non-negative impulse response
TL;DR: This paper will show that such a synthesis is possible iff the open loop system does not have real, non-minimum phase zeros, and provide a stable compensator that achieves a stable,non-negative impulse response, if there exists one.
Journal ArticleDOI
The design of nonovershooting and nonundershooting multivariable state feedback tracking controllers
TL;DR: Conditions under which the linear multivariable feedback control design method may be modified to avoid undershoot are described.
Journal ArticleDOI
Linear matrix inequalities for globally monotonic tracking control
TL;DR: It is proved that a stable system is globally monotonic if and only if all the rows of the output matrix are left eigenvectors of the space transition matrix.
Book ChapterDOI
Adaptive Cruise Control
TL;DR: An adaptive cruise control (ACC) system is an extension of the standard cruise control system that has a radar or other sensor that measures the distance to other preceding vehicles (downstream vehicles) on the highway.
References
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Book
Scheduling: Theory, Algorithms, and Systems
TL;DR: Scheduling will serve as an essential reference for professionals working on scheduling problems in manufacturing and computing environments and Graduate students in operations management, operations research, industrial engineering and computer science will find the book to be an accessible and invaluable resource.
Book
Feedback Systems: Input-output Properties
TL;DR: In this paper, the Bellman-Gronwall Lemma has been applied to the small gain theorem in the context of linear systems and convolutional neural networks, and it has been shown that it can be applied to linear systems.
Journal ArticleDOI
Single-loop feedback-stabilization of linear multivariable dynamical plants
TL;DR: In this paper, the necessary and sufficient conditions for a multivariable plant P(s) with asymptotically stable hidden modes to be stabilizable by means of singleloop feedback employing an asythmically stable controller and feedback sensor were derived.
Journal Article
String Stability Of Interconnected Systems: An Application To Platooning In Automated Highway Systems
TL;DR: Various decentralized control algorithms are designed and their performance is characterized in terms of the minimum attenuation of the maximum spacing errors that can be guaranteed from vehicle to vehicle in the platoon.
Journal ArticleDOI
Nonnegative realization of a linear system with nonnegative impulse response
TL;DR: An essentially complete characterization is given of the H(z) allowing such a realization, in terms of the location of the pole or poles of H(Z) with maximum modulus.