Small-Gain Type Sufficient Conditions for Sampled-Data Feedback Stabilization for Autonomous Composite Systems

2011 ◽  
Vol 56 (7) ◽  
pp. 1725-1729 ◽  
Author(s):  
J. Tsinias
Keyword(s):  
Sufficient Conditions ◽  
Feedback Stabilization ◽  
Sampled Data ◽  
Composite Systems ◽  
Data Feedback ◽  
Small Gain

Sampled-Data State Feedback Stabilization of Boolean Control Networks

2016 ◽  
Vol 28 (4) ◽  
pp. 778-799 ◽  
Author(s):  
Yang Liu ◽  
Jinde Cao ◽  
Liangjie Sun ◽  
Jianquan Lu
Keyword(s):  
State Feedback ◽  
Sufficient Conditions ◽  
Feedback Stabilization ◽  
Necessary And Sufficient Conditions ◽  
State Feedback Control ◽  
Global Stabilization ◽  
Sampled Data ◽  
Control Networks ◽  
Piecewise Constant Control ◽  
Necessary And Sufficient

In this letter, we investigate the sampled-data state feedback control (SDSFC) problem of Boolean control networks (BCNs). Some necessary and sufficient conditions are obtained for the global stabilization of BCNs by SDSFC. Different from conventional state feedback controls, new phenomena observed the study of SDSFC. Based on the controllability matrix, we derive some necessary and sufficient conditions under which the trajectories of BCNs can be stabilized to a fixed point by piecewise constant control (PCC). It is proved that the global stabilization of BCNs under SDSFC is equivalent to that by PCC. Moreover, algorithms are given to construct the sampled-data state feedback controllers. Numerical examples are given to illustrate the efficiency of the obtained results.

Stability Study of PWM Feedback Systems

1964 ◽  
Vol 86 (1) ◽  
pp. 80-86 ◽  
Author(s):  
E. I. Jury ◽  
T. Nishimura
Keyword(s):  
Fundamental Equation ◽  
Sufficient Conditions ◽  
Feedback System ◽  
Stability Study ◽  
Data Systems ◽  
Sampled Data ◽  
Feedback Systems ◽  
Data Feedback ◽  
Maximum Period ◽  
Fundamental Equations

A fundamental equation which yields the limit-cycle feature of PWM feedback system is derived in this paper. The application of this equation to obtain the response of the autonomous as well as the forced PWM system is indicated. The application of this fundamental equation to other types of nonlinear sampled-data feedback systems is also demonstrated. The maximum mode of the limit cycles that can exist in relay-mode oscillations of PWM systems as well as the limitations on the maximum period is obtained in this paper. Based on the foregoing derivations, the sufficient conditions for eliminating all saturated oscillations is derived. The experimental study performed on the digital computer confirms the theoretical results. Stability curves for certain PWM systems are being calculated which will aid considerably in this design. The basic advantage of PWM controllers on relay sampled-data systems with regard to sensitivity and stability is well pointed out in this paper as well as a few examples illustrating the application of the fundamental equations derived.

Open-Loop Minimum-Energy Maneuver of a Solar-Sail Using Magnetic Torques and Reaction Wheels

2018 ◽  
Author(s):  
Mohammad A. Ayoubi ◽  
Peiman Naseradinmousavi
Keyword(s):  
Minimum Principle ◽  
Minimum Energy ◽  
Sufficient Conditions ◽  
Solar Sail ◽  
Open Loop ◽  
Control Law ◽  
Sampled Data ◽  
Attitude Maneuver ◽  
Data Feedback ◽  
Necessary And Sufficient

This paper presents an open-loop, minimum-energy control law for attitude maneuver of a solar-sail. The proposed control law utilizes the magnetic torques and reaction wheels to reorient the solar-sail for near-earth missions. Using the calculus of variations and Pontryagin’s minimum principle, the necessary and sufficient conditions were derived for the nonlinear model of the solar-sail. Then the optimal control problem was formulated as a two-point boundary-value problem and solved via the Shooting method. The computed control law can be utilized in a flight-computer and in a sampled-data feedback closed-loop system which can compensate for disturbance torques.

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