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A frequency domain stability analysis of a phase plane control system

P. D. HATTIS, E. T. KUBIAK, A. N. PENCHUK
1985 Journal of Guidance Control and Dynamics  
A frequency domain stability analysis of the closed-loop control system is applied to a study of potential flight control system interaction with the Orbiter and a class of payloads deployed from a tilt  ...  In application of the technique to stabil- ity analysis of the on-orbit Reaction Control System during deployment of a class of payloads using tilt tables, good agreement was shown between the describing  ... 
doi:10.2514/3.19934 fatcat:3cbsqeeqerhr5pvimirpxso63q

Subject Index 1985

1985 Journal of Guidance Control and Dynamics  
of Multivariable Feedback Systems G85-029 The Number of Multiplications Required to Chain Coordinate Transformations G85-027 A Frequency Domain Stability Analysis of a Phase Plane Control System G85-008  ...  of Payload Motions on the Nuta- tional Stability of the Galileo Spacecraft G8S-118 Characteristic Elastic Systems of Time-Lim- ited Optimal Maneuvers G85-108 Low Earth Orbit Navigation in the Tracking  ... 
doi:10.2514/3.56398 fatcat:fwii4heznza5dmx2qoovxklu5y

Using ergodicity of chaotic systems for improving the global properties of the delayed feedback control method

Kestutis Pyragas, Viktoras Pyragas
2009 Physical Review E  
To evaluate the closeness of the system state to the target orbit, a special algorithm is devised. For continuous-time systems, it can be implemented by means of a simple low-pass filter.  ...  We do not perturb the system until its state approaches a desired unstable periodic orbit and then we activate the delayed feedback control force.  ...  The analysis of global properties of DFC systems, such as basins of attraction of stabilized orbits, is much more complicated problem.  ... 
doi:10.1103/physreve.80.067201 pmid:20365303 fatcat:mwpkxehm4jfbhg65dramn3gk3y

Libration Control of Electrodynamic Tethers Using the Extended Time-Delayed Autosynchronization Method

Manuel Iñarrea, Jesús Peláez
2010 Journal of Guidance Control and Dynamics  
Such a stabilized periodic orbit can be taken as the starting point for the operation of the electrodynamic tether.  ...  This analysis assumes a rigid tether, with two end masses orbiting along a circular inclined orbit, and a constant tether current, which does not depend on the attitude and orbital position of the tether  ...  Acknowledgments The work of M. Iñarrea is part of the research project MTM2008-03818. The work of J. Peláez was carried out under the research project ESP2007-64068.  ... 
doi:10.2514/1.44232 fatcat:ibn5mvmngndt3lxareiy3jqbdy

Bifurcation analysis of the attitude dynamics for a magnetically controlled spacecraft

Fabio Della Rossa, Marco Bergamasco, Marco Lovera
2012 2012 IEEE 51st IEEE Conference on Decision and Control (CDC)  
Bifurcation analysis of controlled spacecraft model Outline • Spacecraft models and magnetic control • Local stability analysis • Bifurcation analysis • Simulation results • Concluding remarks and future  ...  works 2 Bifurcation analysis of controlled spacecraft model  ...  Local stability analysis First approach: analyze the local stability of the (q,ω)=([0 0 0 1] T ,0) equilibrium of the closed loop periodically forced system.  ... 
doi:10.1109/cdc.2012.6426150 dblp:conf/cdc/RossaBL12 fatcat:3n2q4qpgqnhlrf6nq623nyb6xa

Floquet stability analysis of Ott–Grebogi–Yorke and difference control

Jens Christian Claussen
2008 New Journal of Physics  
Stabilization of instable periodic orbits of nonlinear dynamical systems has been a widely explored field theoretically and in applications.  ...  Here a new stability analysis of these two Poincar\'e-based chaos control schemes is given by means of Floquet theory.  ...  Acknowledgments The author acknowledges financial support from Deutsche Forschungsgemeinschaft (DFG) through SFB-654 "Plasticity and Sleep".  ... 
doi:10.1088/1367-2630/10/6/063006 fatcat:7m5o4jk6xrachpdf7hlyvrakly

Continuous-time controllers for stabilizing periodic orbits of hybrid systems: Application to an underactuated 3D bipedal robot

Kaveh Akbari Hamed, Brian G. Buss, Jessy W. Grizzle
2014 53rd IEEE Conference on Decision and Control  
This paper presents a systematic approach to exponentially stabilize periodic orbits in nonlinear systems with impulse effects, a special class of hybrid systems.  ...  By investigating the properties of the Poincaré return map, a sensitivity analysis is presented that translates the stabilization problem into a set of Bilinear Matrix Inequalities (BMIs).  ...  On the basis of the sensitivity analysis, the problem of stabilization of the periodic orbits is then translated into a set of bilinear matrix inequalities.  ... 
doi:10.1109/cdc.2014.7039613 dblp:conf/cdc/HamedBG14 fatcat:jbhxtl2hrjd4pdmua5dh2bnc6e

Book Announcements

1992 Journal of Guidance Control and Dynamics  
F., On-Orbit Servicing of Space Systems, Krieger, Melbourne, FL, 1992. Purpose: This book presents the past, present, and future of orbital servicing.  ...  Purpose: This reference stresses the latest geometric meth- ods for multivariable control system analysis and design.  ... 
doi:10.2514/3.56571 fatcat:lbv7l22rxfei3kguwhlu5hawie

Libration Control of Electrodynamic Tethers in Inclined Orbit

J. Pelaez, E. C. Lorenzini
2005 Journal of Guidance Control and Dynamics  
the control forces needed to stabilize the system with the second control law.  ...  Therefore, we will analyze first the stability properties of this simplified control scheme. Then we will use the results of this analysis to check the TDAS control scheme.  ... 
doi:10.2514/1.6473 fatcat:ayhcyllbv5aj7af3c5nqmw3duu

Evolutionary Synthesis and Control of Chaotic Systems

Roman Senkerik, Ivan Zelinka, Zuzana Oplatkova, Donald Davendra
2009 IFAC Proceedings Volumes  
new cost functions operating in "blackbox mode" without previous exact mathematical analysis of the system, thus without knowledge of stabilizing of the target state.  ...  The main aim of this work is to show that evolutionary algorithms are capable of synthesis of new chaotic system and optimization of its control and to show a new approach of solving this problem and constructing  ...  Control of chaos, p-1 orbit, CF 1 The first case is focused on the stabilization of p-1 orbit. Unperturbed chaotic system has this p-1 orbit: x F = -1.0772 (A = 1.15).  ... 
doi:10.3182/20090622-3-uk-3004.00057 fatcat:dnzalc5scffyhhehs523ez2rky

Can we make a robot ballerina perform a pirouette? Orbital stabilization of periodic motions of underactuated mechanical systems

A.S. Shiriaev, L.B. Freidovich, I.R. Manchester
2008 Annual Reviews in Control  
orbitally stabilizing control designs.  ...  When studying the orbital stabilization of periodic motions of underactuated mechanical sys-  ...  The local exponential stabilization task (see Problem 3 above) in the case when the desired orbit is just an equilibrium can be approached via analysis of the standard controlled linearization: z =Āz +  ... 
doi:10.1016/j.arcontrol.2008.07.001 fatcat:eq4echhcsbguxc45tfta6q3vgi

CAN WE MAKE A ROBOT BALLERINA PERFORM A PIROUETTE? ORBITAL STABILIZATION OF PERIODIC MOTIONS OF UNDERACTUATED MECHANICAL SYSTEMS1

Anton S. Shiriaev, Leonid B. Freidovich, Ian R. Manchester
2007 IFAC Proceedings Volumes  
orbitally stabilizing control designs.  ...  When studying the orbital stabilization of periodic motions of underactuated mechanical sys-  ...  The local exponential stabilization task (see Problem 3 above) in the case when the desired orbit is just an equilibrium can be approached via analysis of the standard controlled linearization: z =Āz +  ... 
doi:10.3182/20070829-3-ru-4911.00005 fatcat:oza3u6ctxfcrdg6lsbvgib4ucu

Subject Index

2011 Journal of Guidance Control and Dynamics  
- lope Protection Systems for Small Aircraft G11-105 Stability Properties and Cross-Coupling Performance of the Control Allocation Scheme CAPIO G11-085 Fault-Tolerant Attitude Control for Spacecraft Under  ...  Control of Clustered Electrodynamic Tether System Using Kuramoto Model G11-139 Linear Parameter Varying Analysis of Switched Controllers for Attitude Control Systems G11-174 Modified Singular-Direction  ... 
doi:10.2514/1.56394 fatcat:h2hs6frx4fhmfmklgp5pzdavdy

Control System Design Technique and Validation for A High-Resolution Mapping Satellite

Chen Chao, Wang ShuYi, Liu Jie, Wu Sen Tang, L. Zhang, S. Defilla, W. Chu
2021 E3S Web of Conferences  
Based on the author's multi-year research on the design of high-resolution satellite control system, the key technologies and design methods for the high-precision attitude measurement and control system  ...  Since China's first satellite measuring scale of 1:10,000 was launched in 2019, thus GF-7 satellite has realized the arc-second attitude measurement accuracy, where the degree of stability reached 10-  ...  Through the analysis of in-orbit remote sensing data, the control system reached the indexes as required.  ... 
doi:10.1051/e3sconf/202123304041 fatcat:x7ou3q4saffbrpoqzfokhz6744

A Twenty-Year Review of Time-Delay Feedback Control and Recent Developments

Kestutis Pyragas
2014 IEICE Proceeding Series  
The method allows a noninvasive stabilization of UPOs of dynamical systems in the sense that the control force vanishes when the target state is reached.  ...  Note that only the stability properties of the orbit are changed, while the orbit itself and its period remain unaltered.  ...  Even linear analysis of such systems is complicated due to the infinite number of Floquet exponents characterizing the stability of controlled orbits.  ... 
doi:10.15248/proc.1.683 fatcat:inzq2u4m4zhlpli33lyeyhmhju
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