Robustness issues in ℋ2 optimal control of unstable plants

Systems and Control Letters

Volumn 55, Issue 2, 2006, Pages 124-131

  Salgado, Mario E ^a   Silva, Eduardo I ^a  

^a DEPARTAMENTO DE FÍSICA   (Chile)

Author keywords

MIMO discrete time systems; Optimal control; Performance limitation; Robustness; Tracking; Unstable systems

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; CONTROL THEORY; DEGREES OF FREEDOM (MECHANICS); DISCRETE TIME CONTROL SYSTEMS; INDUSTRIAL PLANTS; OPTIMAL CONTROL SYSTEMS; SYSTEM THEORY;

MIMO DISCRETE TIME SYSTEMS; OPTIMAL CONTROL; PERFORMANCE LIMITATION; ROBUSTNESS; TRACKING; UNSTABLE SYSTEMS;

ROBUSTNESS (CONTROL SYSTEMS);

EID: 28544451684     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sysconle.2005.06.003     Document Type: Article

References (20)

1. H. Bode Network Analysis and Feedback Amplifier Design 1945 Van Nostrand New York
2. J. Chen Sensitivity integral relations and design trade-offs in linear multivariable feedback systems IEEE Trans. Autom. Control 40 10 1995 1700 1716
3. J. Chen Logarithmic integrals, interpolation bounds and performance limitations in MIMO feedback systems IEEE Trans. Autom. Control 45 6 2000 1098 1115
4. G. Chen, J. Chen, and R. Middleton Optimal tracking performance for SIMO systems IEEE Trans. Autom. Control 47 10 2002 1770 1775
5. J. Chen, S. Hara, and G. Chen Best tracking and regulation performance under control effort constraint IEEE Trans. Autom. Control 48 8 2003 1320 1380
6. J. Chen, L. Qiu, and O. Toker Limitations on maximal tracking accuracy, part 2: Tracking sinusoidal and ramp signals American Control Conference Albuquerque, NM 1997 1757 1761
7. J. Chen, L. Qiu, and O. Toker Limitations on maximal tracking accuracy IEEE Trans. Autom. Control 45 2 2000 326 331
8. J. Chen, Z. Ren, S. Hara, and L. Qiu Optimal tracking performance: preview control and exponential signals IEEE Trans. Autom. Control 46 10 2001 1647 1654
9. G. Goodwin, M. Salgado, and J. Yuz Performance limitations for linear feedback systems in the presence of plant uncertainty IEEE Trans. Autom. Control 48 8 2003 1312 1319
10. G.C. Goodwin, S. Graebe, and M.E. Salgado Control System Design 2001 Prentice-Hall New Jersey
11. T. Kailath Linear Systems 1980 Prentice-Hall Englewood Cliffs, New Jersey
12. J.M. Maciejowski Multivariable Feedback Design 1989 Addison-Wesley Wokingham, England
13. T. Perez, G.C. Goodwin, and M.M. Seron Performance degradation in feedback control due to constraints IEEE Trans. Autom. Control 48 8 2003 1381 1385
14. L. Qiu, and E. Davidson Performance limitations of non-minimum phase systems in the servomechanism problem Automatica 29 2 1993 337 349
15. M. Serón, J. Braslavsky, P. Kokotovic, and D.Q. Mayne Feedback limitations in nonlinear systems: from Bode integrals to cheap control IEEE Trans. Autom. Control 44 4 1999 829 833
16. M.M. Seron, J.H. Braslavsky, and G.C. Goodwin Fundamental Limitations in Filtering and Control 1997 Springer London
17. E. Silva, and M. Salgado Performance bounds for feedback control of nonminimum-phase MIMO systems with arbitrary delay structure IEE Proc. 152 2 2005 211 219
18. W. Su, L. Qiu, and J. Chen Fundamental performance limitations in tracking sinusoidal signals IEEE Trans. Autom. Control 48 8 2003 1371 1380
19. O. Toker, L. Chen, and L. Qiu Tracking performance limitations in LTI multivariable discrete-time systems IEEE Trans. Circuits Syst. I 49 5 2002 657 670
20. A.R. Woodyatt, M.M. Seron, J.S. Fruendenberg, and R.H. Middleton Cheap control tracking performance for nonright-invertible plants Int. J. Robust Nonlinear Control 12 2002 1253 1273