Limit cycle stability of systems containing a pulse ratio modulator
TLDR
In this paper, the authors investigate the stability of systems containing a Pulse Ratio Modulator (PRM), which was introduced almost accidentally by surrounding simple relay-type switching logic with a feedback loop containing a first-order lag to provide derived rate damping.Abstract:
Most spacecraft attitude control systems employing mass-expulsion techniques use some form of pulse modulation at the output from the control system to the gas control valves. In a number of early designs such modulation was introduced almost accidentally by surrounding simple relay-type switching logic with a feedback loop containing a first-order lag to provide ‘derived rate’ damping. This arrangement gives pulse width and pulse frequency modulation (Combined pulse modulation). Such a modulation scheme was devised by Schaefer in 1962 which he called a Pulse Ratio Modulator (PRM). His main concern was the mechanisation of the quasistatic equations of the modulator and he did not investigate the stability of systems containing a PRM.read more
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Journal ArticleDOI
A New Pulse Modulator for Accurate DC Amplification with Linear or Nonlinear Devices
TL;DR: In this paper, a new pulse-modulation technique and modulator circuit has been developed, offering several advantages over conventional methods, including an intrinsically high degree of accuracy and the numerous potential advantages of sampled-data and digital techniques provided by use of this modulator, offering a solution to the bandwidth problems encountered in conventional pulse modulation methods.
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On-off limit-cycle controllers for reaction-jet-controlled systems
TL;DR: In this article, the authors presented an analytical expression for performance cost functions that describe the behavior of a reaction-jet-controlled system during an on-off limit cycle, where the cost functions are expressed in terms of the amplitudes of the limit-cycle switch states.
Journal ArticleDOI
Stability of combined pulse-modulated control systems†
Ralph Walk,Jacob Rootenberg +1 more
TL;DR: In this article, a stability condition for combined pulse-modulated control systems is derived, which guarantees bound-input bounded-output stability in the L 1, [0, ∞] sense.