Guaranteed cost distributed fuzzy observer-based control for a class of nonlinear spatially distributed processes

AIChE Journal

Volumn 59, Issue 7, 2013, Pages 2366-2378

  Wang, Jun Wei ^a   Wu, Huai Ning ^a   Li, Han Xiong ^b  

^a BEIHANG UNIVERSITY   (China)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Distributed parameter systems; Exponential stability; Guaranteed cost control; Linear matrix inequalities; Takagi Sugeno fuzzy model

Indexed keywords

DISTRIBUTED PARAMETER SYSTEMS; GUARANTEED COST CONTROL; HYPERBOLIC PARTIAL DIFFERENTIAL EQUATION; LINEAR MATRIX INEQUALITY OPTIMIZATIONS; QUADRATIC COST FUNCTIONS; SPATIALLY DISTRIBUTED PROCESS; SUBOPTIMAL CONTROL DESIGN; TAKAGI SUGENO FUZZY MODELS;

ASYMPTOTIC STABILITY; CONTROL; COST FUNCTIONS; FUZZY CONTROL; PARTIAL DIFFERENTIAL EQUATIONS; SPATIAL DISTRIBUTION;

LINEAR MATRIX INEQUALITIES;

EID: 84879302874     PISSN: 00011541     EISSN: 15475905     Source Type: Journal    
DOI: 10.1002/aic.14001     Document Type: Article

References (38)

1. Ray WH. Advanced Process Control. New York: McGraw-Hill, 1981.
2. Christofides PD. Nonlinear and Robust Control of PDE Systems: Methods and Applications to Transport-Reaction Processes. Boston, MA: Birkhäuser, 2001.
3. Li HX, Qi C. Modeling of distributed parameter systems for applications-a synthesized review from time-space separation. J Process Control. 2010;20:891-901.
4. Balas MJ. Feedback control of linear diffusion processes. Int J Control. 1979;29:523-534.
5. Curtain RF. Finite-dimensional compensator design for parabolic distributed systems with point sensors and boundary input. IEEE Trans Automat Control. 1982;27:98-104.
6. Balas MJ. The Galerkin method and feedback control of linear distributed parameter systems. J Math Anal Appl. 1983;91:527-546.
7. Christofides PD, Daoutidis P. Finite-dimensional control of parabolic PDE systems using approximate inertial manifolds. J Math Anal Appl. 1997;216:398-420.
8. Baker J, Christofides PD. Finite-dimensional approximation and control of nonlinear parabolic PDE systems. Int J Control. 2000;73:439-456.
9. Hagen G, Mezic I. Spillover stabilization in finite-dimensional control and observer design for dissipative evolution equations. SIAM J Control Optim. 2003;42:746-768.
10. Chen BS, Chang YT. Fuzzy state-space modeling and robust observer-based control design for nonlinear partial differential systems. IEEE Trans Fuzzy Syst. 2009;17:1025-1043.
11. El-Farra NH, Ghantasala S. Actuator fault isolation and reconfiguration in transport-reaction processes. AIChE J. 2007;53:1518-1537.
12. ∞ fuzzy observer-based control for a class of nonlinear distributed parameter systems with control constraints. IEEE Trans Fuzzy Syst. 2008;16:502-516.
13. Curtain RF, Zwart HJ. An Introduction to Infinite-Dimensional Linear Systems Theory. New York: Springer-Verlag, 1995.
14. Aksikas I, Fusman A, Forbes JF, Winkin JJ. LQ control design of a class of hyperbolic PDE systems: application to fixed-bed reactor. Automatica. 2009;45:1542-1548.
15. Hanczyc EM, Palazoglu A. Sliding mode control of nonlinear distributed parameter processes. Ind Eng Chem Res. 1995;34:557-566.
16. Christofides PD, Daoutidis P. Feedback control of hyperbolic PDE systems. AIChE J. 1996;42:3063-3086.
17. Christofides PD, Daoutidis P. Robust control of hyperbolic PDE systems. Chem Eng Sci. 1998;53:85-105.
18. Shang H, Forbes JF, Guay M. Model predictive control for quasilinear hyperbolic distributed parameter systems. Ind Eng Chem Res. 2004;43:2140-2149.
19. Dubljevic S, Mhaskar P, El-Farra NH, Christofides, PD. Predictive control of transport-reaction processes. Comput Chem Eng. 2005;29:2335-2345.
20. Choi J, Lee KS. Model predictive control of cocurrent first-orderhyperbolic PDE systems. Ind Eng Chem Res. 2005;44:1812-1822.
21. Takagi T, Sugeno M. Fuzzy identification of systems and its applications to modeling and control. IEEE Trans Syst Man Cybern. 1985;15:116-132.
22. Tanaka K, Wang HO. Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach. New York: Wiley, 2001.
23. Feng G. Analysis and Synthesis of Fuzzy Control Systems: A Model Based Approach. Boca Raton, FL: CRC, 2010.
24. Precup RE, Hellendoorn H. A survey on industrial applications of fuzzy control. Comput Ind. 2011;62:213-226.
25. Tuan HD, Apkarian P, Narikiyo T, Yamamoto Y. Parameterized linear matrix inequality techniques in fuzzy control system design. IEEE Trans Fuzzy Syst. 2001;9:324-332.
26. Chen B, Liu X. Fuzzy guaranteed cost control for nonlinear systems with time-varying delay. IEEE Trans Fuzzy Syst. 2005;13:238-249.
27. Zhang HG, Wang Y, Liu D. Delay-dependent guaranteed cost control for uncertain stochastic fuzzy systems with multiple time delays. IEEE Trans Syst Man Cybern B Cybern. 2008;38:126-140.
28. 2 static output feedback fuzzy control for uncertain discrete-time nonlinear systems. Automatica. 2008;44:2333-2339.
29. Lima NMN, Linan LZ, Filho RM, Maciel MRW, Embirucu M, Gracio F. Modeling and predictive control using fuzzy logic: application for a polymerization system. AIChE J. 2010;56:965-978.
30. ∞ fuzzy output-feedback control with multiple probabilistic delays and multiple missing measurements. IEEE Trans Fuzzy Syst. 2010;18:712-725.
31. Wang JW, Wu HN, Li HX. Distributed fuzzy control design of nonlinear hyperbolic PDE systems with application to nonisothermal plug-flow reactor. IEEE Trans Fuzzy Syst. 2011;19:514-526.
32. Boyd S, Ghaoui LE, Feron E, Balakrishnan V. Linear Matrix Inequalities in System and Control Theory. Philadelphia, PA: SIAM, 1994.
33. Gahinet P, Nemirovskii A, Laub AJ, Chilali M. LMI Control Toolbox for Use with Matlab. Natick MA: The MathWorks, Inc., 1995.
34. Bamieh B, Paganini F, Dahleh MA. Distributed control of spatially invariant systems. IEEE Trans Automat Control. 2002;47:1091-1107.
35. Demetriou MA. Guidance of mobile actuator-plus-sensor networks for improved control and estimation of distributed parameter systems. IEEE Trans Automat Control. 2010;55:1570-1584.
36. Levine IN. Quantum Chemistry, 6th ed. NJ: Pearson Prentice Hall, 2009.
37. Toker O, Ozbay H. On the NP-hardness of solving bilinear matrix inequalities and simultaneous stabilization with static output feedback. In: Proceedings of the 1995 American Control Conference, Seattle, WA; IEEE: Piscataway (NJ), USA, 1995:2525-2526.
38. Burden RL, Faires JD. Numerical Analysis, 7th ed. New York: Brooks/Cole, 2000.