Stability analysis of linear systems under state and rate saturations

Automatica

Volumn 49, Issue 2, 2013, Pages 496-502

  Lim, Young Hun ^a   Ahn, Hyo Sung ^a  

^a Gwangju Institute of Science and Technology (GIST)   (South Korea)

Author keywords

Convex differential inclusion; Nested saturation; Saturation nonlinearities; Stability analysis

Indexed keywords

A-STABILITY; ASYMPTOTICALLY STABLE; DIFFERENTIAL INCLUSIONS; DOMAIN OF ATTRACTION; GLOBAL ASYMPTOTICAL STABILITY; NESTED SATURATIONS; NUMERICAL EXAMPLE; RATE SATURATION; SATURATION FUNCTION; SATURATION NONLINEARITY; STABILITY ANALYSIS; STABILITY CONDITION; SUFFICIENT CONDITIONS;

CONTROL SYSTEM ANALYSIS;

LINEAR SYSTEMS;

EID: 84872016668     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2012.11.015     Document Type: Article

References (24)

1. Alamo, T.; Cepeda, A.; Limon, D. (2005). Improved computation of ellipsoidal invariant sets for saturated control systems. In Proceedings of the 44th IEEE conference on decision and control and the 2005 European control conference (pp. 6216-6221).
2. F. Albertini, and D. D'Alessandro Asymptotic stability of continuous-time systems with saturation nonlinearities Systems & Control Letters 29 3 1996 175 180
3. A. Bateman, and Z. Lin An analysis and design method for linear systems under nested saturation Systems & Control Letters 48 1 2003 41 52
4. D.S. Berstein, and A.N. Michel A chronological bibliography on saturating actuators International Journal of Robust and Nonlinear Control 5 5 1995 375 381
5. F. Blanchini Set invariance in control Automatica 35 11 1999 1747 1767
6. Y.-Y. Cao, J. Lam, and Y.-X. Sun Static output feedback stabilization: an ILMI approach Automatica 34 12 1998 1641 1645
7. H controller design for linear systems subject to sensor nonlinearities IEEE Transactions on Circuits and Systems Part I: Fundamental Theory and Applications 50 7 2003 914 921
8. H. Fang, and Z. Lin Stability analysis for linear systems under state constraints IEEE Transactions on Automatic Control 49 6 2004 950 955
9. G. Golub, and C.V. Loan Matrix computations 1996 The John Hopkins University Press Baltimore
10. Hindi, H.; Boyd, S. (1998). Analysis of linear systems with saturation using convex optimization. In Proceedings of the 37th IEEE conference on decision and control (pp. 903-908).
11. L. Hou, and A.N. Michel Asymptotic stability of systems with saturation constraints IEEE Transactions on Automatic Control 43 8 1998 1148 1154
12. T. Hu, and Z. Lin A complete stability analysis of planar linear systems under saturation IEEE Transactions on Circuits and Systems Part I: Fundamental Theory and Applications 47 4 2000 498 512
13. T. Hu, and Z. Lin Control systems with actuator saturation: analysis and design 2001 Birkhäuser Boston, MA
14. X. Ji, Y. Sun, and T. Liu Improvement on stability analysis for linear systems under state saturation IEEE Transactions on Automatic Control 53 8 2008 1961 1963
15. L. Jin, P.M. Nikiforuk, and M.M. Gupta Absolute stability conditions for discrete-time recurrent neural networks IEEE Transactions on Neural Networks 5 6 1994 954 964
16. D. Liu, and A.N. Michel Asymptotic stability of discrete-time systems with saturation nonlinearities with applications to digital filters IEEE Transactions on Circuits and Systems Part I: Fundamental Theory and Applications 39 10 1992 789 807
17. D. Liu, and A.N. Michel Dynamical systems with saturation nonlinearities: analysis and design 1994 Springer-Verlag London, UK
18. R. Mantri, A. Saberi, and V. Venkatasubramanian Stability analysis of continuous time planar systems with state saturation nonlinearity IEEE Transactions on Circuits and Systems Part I: Fundamental Theory and Applications 45 9 1998 989 993
19. F. Mesquine, F. Taeo, and A. Benzaouia Regulator problem for linear systems with constraints on control and its increment or rate Automatica 40 8 2004 1387 1395
20. A.N. Michel, J. Si, and G. Yen Analysis and synthesis of a class of discrete-time neural networks described on hypercubes IEEE Transactions on Neural Networks 2 1 1991 32 46
21. Pittet, C.; Tarbouriech, S.; Burgat, C. (1997). Stability regions for linear systems with saturating controls via circle and Popov criteria. In Proceedings of the 36th IEEE conference on decision and control (pp. 4518-4523).
22. D.D. Siljak, D.M. Stipanovic, and A.I. Zecevic Robust decentralized turbine/governor control using linear matrix inequalities IEEE Transactions on Power Systems 17 3 2002 715 722
23. S. Tarbouriech, C. Prieur, and J.M. Gemes da Silva Jr. Stability analysis and stabilization of systems presenting nested saturations IEEE Transactions on Automatic Control 51 8 2006 1364 1371
24. B. Zhou, W.X. Zheng, and G.R. Duan An improved treatment of saturation nonlinearity with its application to control of systems subject to nested saturation Automatica 47 2 2011 306 315