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Transient response control via characteristic ratio assignment

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TLDR
It is shown that arbitrary transient response specifications, namely one with independently specified overshoot and specified rise time or speed of response can be exactly attained.
Abstract
This note develops an approach to directly control the transient response of linear time-invariant control systems. We begin by considering all-pole transfer functions of order n for which we introduce a set of parameters /spl alpha//sub i/, i=1,...n called the characteristic ratios. We also introduce a generalized time constant /spl tau/. We prove that /spl alpha//sub 1/ and /spl tau/ can be used to characterize the system overshoot to a step input and the speed of response, respectively. By independently adjusting /spl alpha//sub 1/ and /spl tau/ in all-pole systems, arbitrarily small or no overshoot as well as arbitrarily fast speed of response can be achieved. These formulas are used to develop a procedure to design feedback controllers with feedforward or two parameter output feedback type for achieving time response specifications. For a minimum phase plant we show that arbitrary transient response specifications, namely one with independently specified overshoot and specified rise time or speed of response can be exactly attained.

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Citations
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Journal ArticleDOI

Current Harmonic Compensation by a Single-Phase Shunt Active Power Filter Controlled by Adaptive Neural Filtering

TL;DR: A single-phase shunt active power filter for current harmonic compensation based on neural filtering is presented, which has been applied in numerical simulations and experimentally to a properly devised test setup, also in comparison with the classic sinusoidal current control based on the P-Q theory.
Journal ArticleDOI

Linear active disturbance rejection control of underactuated systems: the case of the Furuta pendulum

TL;DR: An Active Disturbance Rejection Control (ADRC) scheme is proposed for a trajectory tracking problem defined on a nonfeedback linearizable Furuta Pendulum example, where fast horizontal arm tracking maneuvers driving the pendulum substantially away from the initial equilibrium point are triggered.
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

Design of PI controllers for achieving time and frequency domain specifications simultaneously.

TL;DR: A set of PI controllers which attain desired performances can be found using the graphical relations presented and a systematic method, which is effective and simple to apply, is proposed.
Journal ArticleDOI

Polynomial-Method-Based Design of Low-Order Controllers for Two-Mass Systems

TL;DR: Simulation and experimental results verified the effectiveness of the designed IP and m-IP controllers when the inertia ratio is relatively small, and showed promising results of a much better robustness against the gear backlash nonlinearity.
References
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Book

Control System Design

TL;DR: A key aspect of the book is the frequent use of real world design examples drawn directly from the authors' industrial experience, represented by over 15 substantial case studies ranging from distillation columns to satellite tracking.
Book

Robust Control: The Parametric Approach

TL;DR: This theory allows us to determine if a linear time invariant control system, containing several uncertain real parameters remains stable as the parameters vary over a set and nicely complements the optimal theories as well as Classical Control and considerably extends the range of possibilities available to the control specialist.
Book

Robust Control: Systems With Uncertain Physical Parameters

TL;DR: In this paper, the authors present examples for modelling of plants with uncertain parameters, including a four-wheel car steering model and a single-loop feedback structure with variable parameter space.
Journal ArticleDOI

Composite nonlinear feedback control for linear systems with input saturation: theory and an application

TL;DR: The proposed composite nonlinear feedback control technique is capable of beating the well-known time-optimal control in the asymptotic tracking situations and can be applied to design servo systems that deal with "point-and-shoot" fast targeting.