NDLI: Synthesis of Digital PID Controllers for Discrete-Time Systems With Guaranteed Non-Overshooting Transient Response

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Mohsenizadeh, Navid Darbha, Swaroop Shankar, P. Bhattacharyya
Copyright Year	2011
Abstract	In this paper, we present a new method of synthesizing digital PID controllers for discrete-time, Linear Time Invariant (LTI) Systems satisfying a class of transient response specifications. The problem of synthesizing a controller to achieve desirable transient specifications, such as requiring the transient response to be within an allowable range of overshoot, can be carried out as a problem of guaranteeing the impulse response of an appropriate closed loop error transfer function to be non-negative. An earlier result by the authors provides necessary and sufficient conditions for the impulse response of a discrete-time transfer function to be non-negative in terms of the requirement of a sequence of polynomials to be sign-invariant on the interval [1, ∞). An application of this result to the error transfer function yields a sequence of polynomials which are required to be sign-invariant on [1, ∞) but whose coefficients are polynomial functions of the controller gains k1, k2 and k3.
Sponsorship	Dynamic Systems and Control Division
Starting Page	473
Ending Page	478
Page Count	6
File Format	PDF
ISBN	9780791854754
DOI	10.1115/DSCC2011-6196
Volume Number	ASME 2011 Dynamic Systems and Control Conference and Bath/ASME Symposium on Fluid Power and Motion Control, Volume 1
Conference Proceedings	ASME 2011 Dynamic Systems and Control Conference and Bath/ASME Symposium on Fluid Power and Motion Control
Language	English
Publisher Date	2011-10-31
Publisher Place	Arlington, Virginia, USA
Access Restriction	Subscribed
Subject Keyword	Errors Discrete time systems Transfer functions Control equipment Polynomials Impulse (physics) Transients (dynamics)
Content Type	Text
Resource Type	Article

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