Dissipative analysis and control of state-space symmetric systems

Automatica

Volumn 45, Issue 6, 2009, Pages 1574-1579

  Meisami Azad, Mona ^a   Mohammadpour, Javad ^a   Grigoriadis, Karolos M ^a  

^a UNIVERSITY OF HOUSTON   (United States)

Author keywords

H control; Large scale systems; Linear output feedback

Indexed keywords

COMPUTATIONAL ADVANTAGES; DISSIPATIVE SYSTEMS; DISSIPATIVITY; EXPLICIT EXPRESSIONS; EXPLICIT SOLUTIONS; LINEAR OUTPUT FEEDBACK; LINEAR TIME-INVARIANT SYSTEMS; MIXED H; NUMERICAL EXAMPLES; PARAMETRIZATION; PERFORMANCE CRITERION; POSITIVE REALS; STATE SPACES; STATIC OUTPUT FEEDBACK CONTROLS; SYMMETRIC SYSTEMS;

FEEDBACK CONTROL; INVARIANCE; LARGE SCALE SYSTEMS; NONLINEAR CONTROL SYSTEMS; STATE FEEDBACK; TIME VARYING CONTROL SYSTEMS;

FEEDBACK;

EID: 67349192242     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2009.02.015     Document Type: Article

References (17)

1. Anderson B., and Vongpanitlerd S. Network analysis and synthesis: A modern systems theory (1973), Prentice-Hall, Englewood Cliffs, NJ
2. Brogliato B., Lozano R., Maschke B., and Egeland O. Dissipative systems analysis and control: Theory and applications. 2nd ed. (2007), Springer-Verlag, London
3. Chellaboina, V., & Haddad, W. M. (2000). Exponentially dissipative nonlinear dynamical systems: A nonlinear extension of strict positive realness. In Proc. of American control conference
4. Chellaboina V., and Haddad W.M. Nonlinear dynamical systems and control: A Lyapunov-based approach (2008), Princeton University Press, NJ, USA
5. Hill D.J., and Moylan P.J. Dissipative dynamical systems: Basic input-output and state properties. Journal of the Franklin Institute 309 (1980) 327-357
6. Horn R.A., and Johnson C.R. Topics in matrix analysis (1991), Cambridge University Press, Cambridge, UK
7. Huang C.-H., Ioannou P.A., Maroulas J., and Safonov M.G. Design of strictly positive real systems using constant output feedback. IEEE Transactions on Automatic Control 44 3 (1999) 569-573
8. Skelton R.E., Iwasaki T., and Grigoriadis K.M. A unified algebraic approach to linear control design (1998), Taylor & Francis
9. Srinivasan B., and Myszkorowski P. Model reduction of systems with zeros interlacing the poles. Systems and Control Letters 30 1 (1997) 19-24
10. Sun W., Khargonekar P.P., and Shim D. Solution to the positive real control problem for linear time-invariant systems. IEEE Transactions on Automatic Control 39 10 (1994) 2034-2046
11. Syrmos V., Abdallah C., Dorato P., and Grigoriadis K.M. Static output feedback: A survey. Automatica 33 2 (1997) 125-137
12. ∞ control of symmetric systems: An explicit solution. Systems and Control Letters 44 1 (2001) 57-72
13. Willems J.C. Dissipative dynamical systems - part 1: General theory, part 2: Linear systems with quadratic supply rates. Archive for Rational Mechanics and Analysis 45 (1972) 321-351 352-393
14. Willems J.C. Average value stability criteria for symmetric systems. Ricerche di Automatica 4 (1973) 87-108
15. Willems J.C. Realization of system with internal passivity and symmetry constraints. Journal of the Franklin Institute 301 (1976) 605-621
16. Xie S., Xie L., and de Souza C.E. Robust dissipative control for linear systems with dissipative uncertainty. International Journal of Control 70 2 (1998) 169-191
17. Zhou K., Doyle J.C., and Glover K. Robust and optimal control (1996), Prentice-Hall, Upper Saddle River, NJ