Dynamical system visualization and analysis via performance maps

Information Visualization

Volumn 3, Issue 4, 1997, Pages 271-287

  Alpigini, James J ^a  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

chaos; dynamics; linear control; nonlinear control; simulations; visualization

Indexed keywords

EID: 84996190375     PISSN: 14738716     EISSN: 14738724     Source Type: Journal    
DOI: 10.1057/palgrave.ivs.9500082     Document Type: Article

References (26)

1. Julia G. Memoire sur l’iteration des fonctions rationnelles. Journal de Mathematiques 1918; 8: 47–245.
2. Alpigini JJ, Russell DW. System analysis via performance maps. Control Engineering Practice 2003; 11: 493–504.
3. Alpigini JJ. The evaluation and visualization of system performance in chaotic dynamical systems. Information Sciences 2000; 127: 173–192.
4. Ott E. Chaos in Dynamical Systems. Cambridge University Press: Cambridge, 1993; 6, 57–59, 291–294, 184–185.
5. Falconer K. Fractal Geometry, Mathematical Foundations and Applications. John Wiley & Sons: Chichester, 1990; 184.
6. O’Neil PV. Advanced Engineering Mathematics. PWS-Kent: Boston, 1995; 494–498.
7. Thompson JMT, Stewart HB. Nonlinear Dynamics and Chaos. John Wiley & Sons, Chichester, 1986; 65–67.
8. Moon FC. Chaotic and Fractal Dynamics. John Wiley & Sons: Chichester, 1992; 4, 38–41, 47–53, 77, 135–139, 298.
9. Basso M, Genesio R, Tesi A. An LMI-based controller synthesis for periodic trajectories in a class of nonlinear systems. IEEE Transactions on Automatic Control 2002; 47: 1740–1744.
10. Chen L, Chen G, Lee Y. Fuzzy modeling and adaptive control of uncertain chaotic systems. Information Sciences 1999; 121: 27–37.
11. Efe M, Unsal C, Kaynak O, Yu X. Variable structure control of a class of uncertain systems. Automatica 2004; 40: 59–64.
12. Shearer JL, Kulakowski BT, Gardner JF. Dynamic Modeling and Control of Engineering Systems. Prentice-Hall: Upper Saddle River, NJ, 1997; 260–275.
13. Van de Vegte J. Feedback Control Systems. Prentice-Hall: Englewood Cliffs, NJ, 1994; 116–118.
14. Brogan WL. Modern Control Theory. Englewood Cliffs NJ: Prentice-Hall, 1991; 38–49.
15. Kuo BC. Automatic Control Systems. 7th Edition. Prentice-Hall International, Inc.: Englewood Cliffs, NJ, 1995; 330–335, 385–402.
16. Mellon Carnegie, Control Tutorials for Matlab. University of Michigan, 1998. http://www.engin.umich.edu/group/ctm accessed 1 October 1998.
17. Devaney RL. Chaos, Fractals and Dynamics, Computer Experiments in Mathematics. Addison-Wesley: Menlo Park, 1990; 83–90.
18. Russell DW, Alpigini JJ. A visualization tool for knowledge acquisition using a Julia set methodology for dynamic system expansion. Proceedings of the Ninth International Conference on Software Engineering & Knowledge Engineering. Madrid, Spain, 1997; 326–331.
19. Alpigini JJ, Russell DW. Visualization of control regions for badly behaved real-time systems. IASTED International Conference on Modeling & Simulation. Pittsburgh, PA, USA, 1998.
20. Daley S, Liu GP. Optimal PID tuning using direct search algorithms. Computing and Control Engineering Journal 1999; 51–56.
21. Lee Y, Park S, Lee M, Brosilow C. PID controller tuning for desired closed-loop responses for SI/SO systems. AIChE Journal 1998; 44: 106–115.
22. Sung SW, Lee T, Park S. Optimal PID controller tuning method for single-input/single-output processes. AIChE Journal 2002; 48: 1358–1361.
23. Ariffin AE, Munro N. Robust control analysis of a gas-turbine aeroengine. IEEE Transactions on Control Systems Technology 1997; 5: 178–188.
24. Control and Computer-Aided-Design Group (CCADG). Turbofan Engine Model, technical report. University College of Swansea: Swansea, UK, June 1991.
25. Frederick DK, Barker HA, Hammond PH, Jobling CP, Seiler FM. Plant Models for use with Computer-Aided Control System Analysis and Design Packages. Proceedings of the IFAC Symposium on Computer Aided Design in Control Systems (CACSD’91). Swansea, UK, 15–17 July 1991; 81–88.
26. Alpigini JJ. Parameter selection using an approximated performance Map. IEEE Canadian Conference on Electrical and Computer Engineering (CCECE 2000), Halifax, Canada, 7–10 May 2000, on CD-ROM.