Controllability analysis of industrial processes : towards the industrial application

• A submitted manuscript is the author's version of the article upon submission and before peer-review. There can be important differences between the submitted version and the official published version of record. People interested in the research are advised to contact the author for the final version of the publication, or visit the DOI to the publisher's website. • The final author version and the galley proof are versions of the publication after peer review. • The final published version features the final layout of the paper including the volume, issue and page numbers.

[1]  J. Doyle,et al.  Quadratic stability with real and complex perturbations , 1990 .

[2]  W. Luyben.  Design and Control Degrees of Freedom , 1996 .

[3]  Benjamin C. Kuo,et al.  Digital Control Systems , 1977 .

[4]  Sigurd Skogestad,et al.  Simple frequency-dependent tools for control system analysis, structure selection and design , 1992, Autom..

[5]  A. A. Stoorvogel,et al.  The mixed H2 and H∞ control problem , 1992 .

[6]  N. Karcanias,et al.  Poles and zeros of linear multivariable systems : a survey of the algebraic, geometric and complex-variable theory , 1976 .

[7]  J. Willems.  Least squares stationary optimal control and the algebraic Riccati equation , 1971 .

[8]  W. Wolovich.  State-space and multivariable theory , 1972 .

[9]  Andrew Packard,et al.  The complex structured singular value , 1993, Autom..

[10]  Sigurd Skogestad,et al.  Limitations of dynamic matrix control , 1995 .

[11]  Ali Saberi,et al.  Squaring down by static and dynamic compensators , 1988 .

[12]  Hm Heinz Falkus,et al.  Parametric uncertainty in system identification , 1994 .

[13]  Paul M. J. Van den Hof,et al.  An indirect method for transfer function estimation from closed loop data , 1993, Autom..

[14]  C. Oara,et al.  Spectral and inner-outer factorizations for discrete-time systems , 1996, IEEE Trans. Autom. Control..

[15]  L. Silverman.  Inversion of multivariable linear systems , 1969 .

[16]  C. R. Cutler,et al.  Dynamic matrix control¿A computer control algorithm , 1979 .

[17]  Manfred Morari,et al.  Digital controller design for multivariable systems with structural closed-loop performance specifications , 1987 .

[18]  P. Khargonekar,et al.  State-space solutions to standard H2 and H∞ control problems , 1988, 1988 American Control Conference.

[19]  Anton A. Stoorvogel,et al.  Squaring-down and the problems of almost-zeros for continuous-time systems , 1994 .

[20]  D. K. De Vries,et al.  Identification of model uncertainty for control design , 1994 .

[21]  James B. Rawlings,et al.  Model predictive control with linear models , 1993 .

[22]  L. Silverman.  Discrete Riccati Equations: Alternative Algorithms, Asymptotic Properties, and System Theory Interpretations , 1976 .

[23]  J. Edmunds,et al.  Principal gains and principal phases in the analysis of linear multivariable feedback systems , 1981 .

[24]  C. Desoer,et al.  Linear Time-Invariant Robust Servomechanism Problem: A Self-Contained Exposition , 1980 .

[25]  Torsten SiiderstrSm,et al.  On zero locations for sampled stochastic systems , 1989 .

[26]  K. Glover,et al.  Minimum entropy H ∞ control , 1990 .

[27]  Yucai Zhu,et al.  Identification of Multivariable Industrial Processes: for Simulation, Diagnosis and Control , 1993 .

[28]  Michel Gevers,et al.  Towards a Joint Design of Identification and Control , 1993 .

[29]  Manfred Morari,et al.  Interaction measures for systems under decentralized control , 1986, Autom..

[30]  J. Macgregor,et al.  Design of identification experiments for robust control. A geometric approach for bivariate processes , 1993 .

[31]  A.A. Stoorvogel,et al.  Closed loop identification of coprime factors , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.

[32]  M. Morari,et al.  Implications of large RGA elements on control performance , 1987 .

[33]  D. G. Meyer,et al.  The construction of special coprime factorizations in discrete time , 1990 .

[34]  E. Davison,et al.  Multivariable tuning regulators: The feedforward and robust control of a general servomechanism problem , 1975, 1975 IEEE Conference on Decision and Control including the 14th Symposium on Adaptive Processes.

[35]  L. Silverman,et al.  Structure and stability of discrete-time optimal systems , 1971 .

[36]  Evanghelos Zafiriou,et al.  Robust process control , 1987 .

[37]  I. Postlethwaite,et al.  State-space formulae for discrete-time H∞ optimization , 1989 .

[38]  E. Yaz.  Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.

[39]  Edward J. Davison,et al.  Some properties of minimum phase systems and "Squared-down" systems , 1983 .

[40]  J. Richalet,et al.  Model predictive heuristic control: Applications to industrial processes , 1978, Autom..

[41]  M. Morari,et al.  Closed-loop properties from steady-state gain information , 1985 .

[42]  G. Stein,et al.  Multivariable feedback design: Concepts for a classical/modern synthesis , 1981 .

[43]  H. Kwakernaak.  A polynomial approach to minimax frequency domain optimization of multivariable feedback systems , 1986 .

[44]  G. Stein,et al.  Beyond singular values and loop shapes , 1991 .

[45]  Maciejowsk.  Multivariable Feedback Design , 1989 .

[46]  Manfred Morari,et al.  Design of the IMC Filter by using the Structured Singular Value Approach , 1986, 1986 American Control Conference.

[47]  Munther A. Dahleh,et al.  Optimal rejection of persistent disturbances, robust stability, and mixed sensitivity minimization , 1988 .

[48]  Benjamin C. Kuo,et al.  AUTOMATIC CONTROL SYSTEMS , 1962, Universum:Technical sciences.

[49]  S. Liberty,et al.  Linear Systems , 2010, Scientific Parallel Computing.

[50]  Christos A. Tsiligiannis,et al.  Dynamic interactors in multivariable process control—I. The general time delay case , 1988 .

[51]  C. R. Cutler,et al.  Constrained Multivariable Control of a Hydrocracker Reactor , 1987, 1987 American Control Conference.

[52]  Coleman B. Brosilow,et al.  The structure and design of Smith predictors from the viewpoint of inferential control , 1979 .

[53]  L. Silverman,et al.  On the discrete time algebraic Riccati equation , 1973 .

[54]  C. Desoer,et al.  Design of multivariable feedback systems with stable plant , 1981 .

[55]  P. Marquis,et al.  SMOC, a bridge between state space and model predictive controllers: Application to the automation of a hydrotreating unit , 1988 .

[56]  József Bokor,et al.  Identification with generalized orthonormal basis functions - statistical analysis and error bounds , 1994 .

[57]  Manfred Morari,et al.  A Case Study using μ: Laboratory Process Control Problem , 1987 .

[58]  Acpm Ton Backx,et al.  Identification of an industrial process : a Markov parameter approach , 1987 .

[59]  J. Freudenberg.  Directionality, coupling, and multivariable loop-shaping , 1988, Proceedings of the 27th IEEE Conference on Decision and Control.

[60]  R.R. Mohler,et al.  Stability and robustness of multivariable feedback systems , 1981, Proceedings of the IEEE.

[61]  J. W. Ponton,et al.  Degrees of freedom analysis in process control , 1994 .

[62]  Manfred Morari,et al.  Robust control of processes subject to saturation nonlinearities , 1990 .

[63]  A. C. Van der Klauw.  Closed-loop identification issues in the process industry , 1995 .

[64]  O Smith,et al.  CLOSER CONTROL OF LOOPS WITH DEAD TIME , 1957 .

[65]  Stephen P. Boyd,et al.  Linear controller design: limits of performance , 1991 .

[66]  B. Francis,et al.  A Course in H Control Theory , 1987 .

[67]  P. Khargonekar,et al.  Linear and nonlinear algorithms for identification in H∞ with error bounds , 1991, 1991 American Control Conference.

[68]  J. Freudenberg,et al.  Frequency Domain Properties of Scalar and Multivariable Feedback Systems , 1988 .

[69]  Carl N. Nett,et al.  Control oriented system identification: a worst-case/deterministic approach in H/sub infinity / , 1991 .

[70]  Manfred Morari,et al.  Model predictive control: Theory and practice - A survey , 1989, Autom..

[71]  G. Zames.  Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms, and approximate inverses , 1981 .

[72]  M. Morari,et al.  Effect of disturbance directions on closed-loop performance , 1987 .

[73]  Sigurd Skogestad,et al.  Design of resilient processing plants-IX. Effect of model uncertainty on dynamic resilience , 1987 .

[74]  J. Massey,et al.  Invertibility of linear time-invariant dynamical systems , 1969 .

[75]  J. Doyle,et al.  On inner-outer and spectral factorizations , 1984, The 23rd IEEE Conference on Decision and Control.

[76]  A.C.P.M. Backx,et al.  Identification for the control of MIMO industrial processes , 1991 .

[77]  J. Doyle,et al.  Uncertain Multivariable Systems from a State Space Perspective , 1987, 1987 American Control Conference.

[78]  S. M. Phillips,et al.  IDENTIFICATION AND CONTROL , 1996 .

[79]  Huibert Kwakernaak,et al.  Linear Optimal Control Systems , 1972 .

[80]  G. D. Martin,et al.  Estimating control function benefits , 1991 .

[81]  R. Skelton,et al.  Liapunov and Covariance Controllers , 1992, 1992 American Control Conference.

[82]  C. R. Cutler,et al.  Optimal Solution of Dynamic Matrix Control with Linear Programing Techniques (LDMC) , 1985, 1985 American Control Conference.

[83]  L. Silverman,et al.  Input-output structure of linear systems with application to the decoupling problem , 1971 .

[84]  D. Looze,et al.  The relation between open-loop and closed-loop properties of multivariable feedback systems , 1986 .

[85]  J.S. Freudenberg.  Analysis and Design for Ill-Conditioned Plants , 1988, 1988 American Control Conference.

[86]  M. Heymann,et al.  Linear feedback decoupling--Transfer function analysis , 1983 .

[87]  Stephen P. Boyd,et al.  Subharmonic functions and performance bounds on linear time-invariant feedback systems , 1984, IEEE Conference on Decision and Control.

[88]  John Doyle,et al.  Design examples using µ-synthesis: Space shuttle lateral axis FCS during reentry , 1986, 1986 25th IEEE Conference on Decision and Control.

[89]  David J. N. Limebeer,et al.  Linear Robust Control , 1994 .

[90]  P. Overschee.  Subspace Identification: Theory, Implementation, Application , 1995 .

[91]  Fan-Ren Chang,et al.  The generalized Cayley-Hamilton theorem for standard pencils , 1992 .

[92]  Leon Ljjm Ariaans,et al.  Structure in practical model error bounds , 1997 .

[93]  Huibert Kwakernaak,et al.  Modern signals and systems , 1991 .

[94]  Michael Green.  On inner-outer factorization , 1988 .

[95]  John D. Perkins,et al.  A software package for process controllability analysis , 1992 .

[96]  Naresh K. Sinha,et al.  Modern Control Systems , 1981, IEEE Transactions on Systems, Man, and Cybernetics.

[97]  Michel Kinnaert,et al.  Conditioning technique, a general anti-windup and bumpless transfer method , 1987, Autom..

[98]  W. Larimore.  System Identification, Reduced-Order Filtering and Modeling via Canonical Variate Analysis , 1983, 1983 American Control Conference.

[99]  Karl Johan Åström,et al.  Zeros of sampled systems , 1980, 1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[100]  J. Rawlings,et al.  The stability of constrained receding horizon control , 1993, IEEE Trans. Autom. Control..

[101]  Ian Postlethwaite,et al.  Pole-zero cancellations and closed-loop properties of an H∞ mixed sensitivity design problem , 1992, Autom..

[102]  Yung Foo.  Two singular value inequalities and their implications in H ∞ approach to control system design , 1987 .

[103]  Keith Glover,et al.  A tutorial on Hankel-norm approximation , 1989 .

[104]  Carlos E. García,et al.  Fundamental Process Control , 1988 .

[105]  Ian Postlethwaite,et al.  Inner functions and a pseudo-singular-value decomposition in super-optimal H∞ control , 1990 .

[106]  E. Bristol.  On a new measure of interaction for multivariable process control , 1966 .

[107]  A. Stoorvogel.  The discrete time H∞ control problem with measurement feedback , 1992 .

[108]  Munther A. Dahleh,et al.  Controller design for plants with structured uncertainty , 1993, Autom..

[109]  S. O'Young,et al.  Sensitivity trade-offs for multivariable plants , 1984, The 23rd IEEE Conference on Decision and Control.

[110]  Andrew Packard,et al.  A General Statement of Structured Singular Value Concepts , 1988, 1988 American Control Conference.

[111]  C. R. Cutler,et al.  Design considerations for a hydrocracker preflash column multivariable constraint controller , 1988 .

[112]  Roger W. Brockett,et al.  The reproducibility of multivariable systems , 1964 .

[113]  A. C. P. M. Backx,et al.  Engineering Aspects of Industrial Applications of Model-Based Control Techniques and System Theory , 1993 .

[114]  M. Khammash,et al.  Performance robustness of discrete-time systems with structured uncertainty , 1991 .

[115]  M. Morari,et al.  Multivariable Anti-Windup and Bumpless Transfer: A General Theory , 1989, 1989 American Control Conference.

[116]  Jie Chen,et al.  Bounds on the three-block structured singular value , 1990 .

[117]  Guoxiang Gu,et al.  Identification in H8 using Pick's interpolation , 1993 .

[118]  Stephen P. Boyd,et al.  Subharmonic functions and performance bounds on linear time-invariant feedback systems , 1984, The 23rd IEEE Conference on Decision and Control.

[119]  C. Jacobson,et al.  Worst Case System Identification in l1: Optimal Algorithms and Error Bounds , 1991, 1991 American Control Conference.

[120]  Manfred Morari,et al.  Design of resilient processing plants—V: The effect of deadtime on dynamic resilience , 1985 .

[121]  J. D. Perkins,et al.  Towards a method for diagnosis of controllability and operability problems in chemical plants , 1987 .

[122]  B. Morton,et al.  A Mu-Test for Robustness Analysis of a Real-Parameter Variation Problem , 1985, 1985 American Control Conference.

[123]  M. Morari.  Process Control Theory: Reflections on the Past and Goals for the Next Decade , 1990 .

[124]  Manfred Morari,et al.  Design of resilient processing plants—III: A general framework for the assessment of dynamic resilience , 1983 .

[125]  Alan J. Laub,et al.  The LMI control toolbox , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[126]  Jan C. Willems,et al.  Models for Dynamics , 1989 .

[127]  Manfred Morari,et al.  Model predictive control: Theory and practice , 1988 .

[128]  J. Pearson.  Linear multivariable control, a geometric approach , 1977 .

[129]  Mathukumalli Vidyasagar,et al.  Control System Synthesis , 1985 .

[130]  M. Morari,et al.  Design of resilient processing plants. New characterization of the effect of RHP zeros , 1987 .

[131]  P. Falb,et al.  Invariants and Canonical Forms under Dynamic Compensation , 1976 .

[132]  W. H. Ray,et al.  High‐Performance multivariable control strategies for systems having time delays , 1986 .

[133]  J. Ackermann.  Sampled-Data Control Systems: Analysis and Synthesis, Robust System Design , 1985 .

[134]  E. Davison.  The feedforward control of linear multivariable time-invariant systems , 1973 .

[135]  John C. Doyle,et al.  Robust Control with an H 2 Performance Objective , 1987 .

[136]  John C. Doyle,et al.  Robust Control with an H2 Performance Objective , 1987, 1987 American Control Conference.

[137]  K. Glover.  All optimal Hankel-norm approximations of linear multivariable systems and their L, ∞ -error bounds† , 1984 .

[138]  J. A. Rossiter,et al.  Singular-value-decomposition approach to multivariable generalised predictive control , 1993 .

[139]  J. Freudenberg,et al.  Right half plane poles and zeros and design tradeoffs in feedback systems , 1985 .

[140]  Sijbren Weiland.  Theory of approximation and disturbance attenuation for linear systems. , 1991 .

[141]  Manfred Morari,et al.  Three Critiques of Process Control Revisited a Decade Later , 1987 .

[142]  Jay H. Lee,et al.  Tuning of model predictive controllers for robust performance , 1994 .

[143]  Jeffrey C. Kantor,et al.  An l∞ Optimal Performance Approach to Linear Feedback Control* , 1990 .

[144]  Keith Glover,et al.  Pole/zero cancellations in the general H ∞ problem with reference to a two block design , 1990 .

[145]  M. Tsai,et al.  A numerical algorithm for inner-outer factorizations of real-rational matrices , 1993 .

[146]  Manfred Morari,et al.  Design of resilient processing plants. VI: The effect of right-half-plane zeros on dynamic resilience , 1985 .

[147]  John C. Doyle.  Analysis of Feedback Systems with Structured Uncertainty , 1982 .

[148]  G. Goodwin,et al.  Robust Frequency Response Estimation Accounting for Noise and Undermodelling , 1992, 1992 American Control Conference.

[149]  Ian Postlethwaite,et al.  Multivariable Feedback Control: Analysis and Design , 1996 .

[150]  E. Davison.  The robust control of a servomechanism problem for linear time-invariant multivariable systems , 1976 .

[151]  Ian Postlethwaite,et al.  WEIGHTING FUNCTION SELECTION IN H∞ DESIGN , 1991 .

[152]  S. Fararooy,et al.  Process controllability toolbox (PCTB) , 1993 .