ROBUST STABILITY ANALYSIS OF GENERIC MODEL CONTROL

REFERENCES

• Brown , M.W. , Lee , P.L. , Sullivan , G.R. , and Zhou , W. , “ A Constrained Nonlinear Multivariable Control Algorithm ”, Chem. Eng. Res. Des., 68, 464 – 476 ( 1990 ).
   Google Scholar
• Calvet , J.-P. , and Arkun , Y. , “ A Lyapunov Approach to Stabilize Feedback Linearized Nonlinear Systems with Disturbances ”, presented at IFAC Symposium on Nonlinear Control System Design , Capri , Italy , 1989 .
   Google Scholar
• Corwin , L.J. , and Szczarba , R.H. , “ Calculus in Vector Space ”, Marcel Dekker Inc. , New York , 1979 .
   Google Scholar
• Desoer , C.A. , and Vidyasagar , M. , “ Feedback Systems Input-Output Properties ”, Academic Press , New York , 1975 .
   Google Scholar
• Doyle , J.C. , “ Analysis of Feedback Systems with Structured Uncertainties ” IEE Proceedings, Part D , 129 (6), 242 – 250 ( 1982 ).
   Google Scholar
• Doyle , J.C. , and Stein , G. , “ Multivariable Feedback Design Concepts for a Classical/Modern Synthesis ”, IEEE Trans. Autom. Control , AC-26 ( 1 ), 4 – 16 ( 1981 ).
   Web of Science ®Google Scholar
• Gilbert , E. , and Ha , I.J. , “ An Approach to Nonlinear Feedbak Control with Applications to Robotics ”, IEEE Trans. Sysl. Man. Cybern. , SMC-14 , 879 – 884 ( 1984 ).
   Google Scholar
• Hirsch , M.W. , and Smale , S. , “ Differential Equations, Dynamical systems, and Linear Algebra ”, Academic Press , New York , 1974 .
   Google Scholar
• Khambanonda , T. , Palazoglu , A. , and Romagnoli , J.A. , “ The Stability Analysis of Nonlinear Feedback Systems ”, AIChE Journal , 36 ( 1 ), 66 – 74 ( 1990 ).
   Web of Science ®Google Scholar
• Kravaris , C. , and Chung , C.B. , “ Nonlinear State Feedback Synthesis by Global Input/Output Linearization ”, AIChE Journal , 33 ( 4 ), 592 – 603 ( 1987 ).
   Web of Science ®Google Scholar
• Kravaris , C. , and Palanki , S. , “ Robust Nonlinear State Feedback Under Structured Uncertainty ”, AIChE Journal , 34 ( 7 ), 1119 – 1127 ( 1988 ).
   Web of Science ®Google Scholar
• Lee , P.L. , and Sullivan , G.R. , “ Generic Model Control (GMC) ”, Computers and Chemical Engineering , 12 ( 6 ), 573 – 580 ( 1988 ).
   Web of Science ®Google Scholar
• Lee , P.L. , Sullivan , G.R. , and Zhou , W. , “ Process/Model Mismatch Compensation for Model-based Controllers ”, Chem. Eng. Commun. , 80 , 33 – 51 ( 1988 ).
   Google Scholar
• Lee , P.L. , Zhou , W. , and Sullivan , G.R. , “ A New Multivariable Deadtime Control Algorithm ”, Chem. Eng. Commun. , 91 , 49 – 63 ( 1990 ).
   Web of Science ®Google Scholar
• Morari , M. , “ Robust Process Control ”, Chem. Eng. Res. Des. , 65 , 462 – 479 ( 1987 ).
   Web of Science ®Google Scholar
• Morari , M.v. and Zafiriou , E. , “ Robust Process Control ”, Prentice Hall , Englewood Cliffs , New Jersey , 1989 .
   Google Scholar
• Newell , R.B. , and Lee , P.L. , “ Applied Process Control ”, Prentice Hall , Sydney , 1989 .
   Google Scholar
• Nikolaou , M. , and Manousiouthakis , V. , “ A Hybrid Approach to Nonlinear System Stability and Performance ”, AIChE Journal , 35 ( 4 ), 559 – 572 ( 1989 ).
   Web of Science ®Google Scholar
• Ogata , K. , “ State Space Analysis of Control System ”, Prentice Hall , Englewood Cliffs , New Jersey , 1967 .
   Google Scholar
• Safonov , M.G. , “ Stability and Robustness of Multivariable Feedback Systems ”, The MIT Press , Cambridge , Massachusetts , 1980 .
   Google Scholar
• Vidyasagar , M. , “ New Directions of Research in Nonlinear System Theory ”, Proceedings of the IEEE , 74 (8), 1060 – 1091 ( 1986 ).
   Google Scholar
• Zames , G. , “ On the Input-Output Stability of Time-Varying Nonlinear Feedback Systems-Part I Conditions Derived Using Concepts of Loop Gain, Conocity, and Positivity ”, IEEE Trans. Autom. Control , AC-11 ( 2 ), 228 – 238 ( 1966 a).
   Web of Science ®Google Scholar
• Zames , G. , “ On the Input-Output Stability of Time-Varying Nonlinear Feedback Systems-Part IIConditions Involving Circles in the Frequency Plane and Sector Nonlinearities ”, IEEE Trans.Autom. Control , AC-11 ( 3 ), 465 – 476 ( 1966 b).
   Web of Science ®Google Scholar
• Zhou , W. , Lee , P.L. , and Sullivan , G.R. , “ Improving Control Performance of Multivariable Systems by Modification of the Process Deadtime Structure ”, Chem. Eng. Commun. , 91 , 65 – 78 ( 1990 a).
   Web of Science ®Google Scholar
• Zhou , W. , Lee , P. L. , Sullivan , G. R. , and Brown , M. W. , “ An Adaptive Approach for Constrained Generic Model Control ”, Chem. Eng. Commun. , 97 , 109 – 134 ( 1990 b).
   Web of Science ®Google Scholar