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Journal ArticleDOI

New Design Method for Pulse-Width Modulation Control Systems via Digital Redesign

Tohru Ieko, +2 more
- 01 Jan 1999 - 
- Vol. 22, Iss: 1, pp 123-128
TLDR
In this article, a design method is proposed for pulse-width modulation (PWM) control systems, where magnitude of control input is e xed but pulse width is adjustable.
Abstract
A design method is proposed for pulse-width modulation (PWM) control systems, where magnitude of control input is e xed but pulse width is adjustable. In the proposed method, e rst a discrete-time (DT) control system of the amplitude modulation type is designed, and then it is converted into a PWM control system. Pulse width and delay time for PWM input are determined at each sampling time so that the state error between the DT and PWM control systems can be small. The DT controller is determined by digital redesign of a given continuous-time (CT) controller. The digital redesign method previously proposed by the authors is based on the principle of equivalent area. Thus, in spiteof theinherent nonlinearity of PWM input, inasmuch as linear control theory can be employed in design of the baseline DT or CT controller, the PWM control system is obtained without using nonlinear control theory. In addition, because the proposed methods are described in state-space representation, they are applicable to multi-input/multi-output systems. The effectiveness of the methods is illustrated through computer simulation using a e exible spacecraft model.

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Citations
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Journal ArticleDOI

Issues on Nonlinear Digital Control

TL;DR: The purpose of this work is to show the real need to motivate theoretical research in nonlinear digital control not only for solving control problems which are specific to the context, but also for giving the intuition of new control methodologies.
Journal ArticleDOI

Advanced tools for nonlinear sampled-data systems' analysis and control

TL;DR: It is shown that the formalism of asymptotic series expansions recently developed by the authors for computing the solutions of non autonomous differential equations, can be profitably employed to obtain the equivalent model to a nonlinear continuous system under generalized sampling procedures.
Journal ArticleDOI

Lyapunov-Based Thrusters' Selection for Spacecraft Control: Analysis and Experimentation

TL;DR: In this article, a method for spacecraft rotation and translation control by on-off thrusters with guaranteed Lyapunov-stable tracking of linear dynamic models is proposed, which switches on, at each time step, only those thrusters needed to maintain stability.
Journal ArticleDOI

Flight Results of Vision-Based Navigation for Autonomous Spacecraft Inspection of Unknown Objects

TL;DR: This paper describes a vision-based relative navigation and control strategy for inspecting an unknown, noncooperative, and possibly spinning object in space using a visual–inertial system that is designed to minimize the computational requirements while maintaining a safe relative distance.
Journal ArticleDOI

Pulse-width predictive control for LTV systems with application to spacecraft rendezvous

TL;DR: In this paper, a model predictive controller (MPC) is proposed to handle linear time-varying (LTV) plants with Pulse-Width Modulated (PWM) control, based on a planner that employs a PAM or impulsive approximation as a hot-start and then uses explicit linearization around successive PWM solutions for rapidly improving the solution by means of quadratic programming.
References
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Journal ArticleDOI

State-space solutions to standard H/sub 2/ and H/sub infinity / control problems

TL;DR: In this article, simple state-space formulas are derived for all controllers solving the following standard H/sub infinity / problem: for a given number gamma > 0, find all controllers such that the H/ sub infinity / norm of the closed-loop transfer function is (strictly) less than gamma.
Book

Digital control of dynamic systems

TL;DR: This well-respected, market-leading text discusses the use of digital computers in the real-time control of dynamic systems and thoroughly integrates MATLAB statements and problems to offer readers a complete design picture.
Journal ArticleDOI

Pulse Modulated Control Synthesis for a Flexible Spacecraft

TL;DR: In this article, the authors employed the describing function method for the nonlinear control analysis and design of a flexible spacecraft equipped with pulse modulated reaction jets, which provided a means of characterizing the pulse modulator in terms of its gain and phase for structural mode limit cycle analysis.
Journal ArticleDOI

The principle of equivalent areas

TL;DR: In this paper, the state of a linear system is changed by the application of a forcing function r(t), the change occurring during a time interval may be determined approximately by considering only the initial conditions and the total impulse.
Proceedings ArticleDOI

A New Method with Guaranteed Stability for Discretization of Continuous-Time Control Systems

TL;DR: In this article, a plant-input-mapping (PIM) method is proposed for discretization of continuous-time control systems (CTCS) in which the control input of the SDCS approaches that of the CTCS as the sampling frequency is increased.
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