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function [sys,x0,str,ts] = tesfunc(t,x,u,flag) % Tennessee Eastman Process Control Test Problem % Re-Written in MATLAB 5.2 % by % Martin Braun and Daniel E. Rivera % % Box 876006 % Control Systems Engineering Laboratory % Manufacturing Institute % Department of Chemical, Bio and Materials Engineering % Arizona State University % Tempe, AZ 85287-6006 % Copyright 1999 % % Please report any problems to: % mwbraun@imap4.asu.edu % daniel.rivera@asu.edu % % Please note, due to the way MATLAB executes the exp() function, % there are slight discrepancies in the output compared to the FORTRAN % version. % % ************************************************************************ % Tennessee Eastman Process Control Test Problem % % James J. Downs and Ernest F. Vogel % % Process and Control Systems Engineering % Tennessee Eastman Company % P.O. Box 511 % Kingsport,TN 37662 % % ************************************************************************ % Reference: % "A Plant-Wide Industrial Process Control Problem" % Presented at the AIChE 1990 Annual Meeting % Industrial Challenge Problems in Process Control,Paper #24a % Chicago,Illinois,November 14,1990 % % Revised 4-4-91 to correct error in documentation of manipulated variables % % % t -> time vector % x -> state vector % u -> input vector % flag -> S-Function Flag % % See below for output description. % %SFUNTMPL General M-file S-function template % With M-file S-functions, you can define you own ordinary differential % equations (ODEs), discrete system equations, and/or just about % any type of algorithm to be used within a Simulink block diagram. % % The general form of an M-File S-function syntax is: % [SYS,X0,STR,TS] = SFUNC(T,X,U,FLAG,P1,...,Pn) % % What is returned by SFUNC at a given point in time, T, depends on the % value of the FLAG, the current state vector, X, and the current % input vector, U. % % FLAG RESULT DESCRIPTION % ----- ------ -------------------------------------------- % 0 [SIZES,X0,STR,TS] Initialization, return system sizes in SYS, % initial state in X0, state ordering strings % in STR, and sample times in TS. % 1 DX Return continuous state derivatives in SYS. % 2 DS Update discrete states SYS = X(n+1) % 3 Y Return outputs in SYS. % 4 TNEXT Return next time hit for variable step sample % time in SYS. % 5 Reserved for future (root finding). % 9 [] Termination, perform any cleanup SYS=[]. % % % The state vectors, X and X0 consists of continuous states followed % by discrete states. % % Optional parameters, P1,...,Pn can be provided to the S-function and % used during any FLAG operation. % % When SFUNC is called with FLAG = 0, the following information % should be returned: % % SYS(1) = Number of continuous states. % SYS(2) = Number of discrete states. % SYS(3) = Number of outputs. % SYS(4) = Number of inputs. % Any of the first four elements in SYS can be specified % as -1 indicating that they are dynamically sized. The % actual length for all other flags will be equal to the % length of the input, U. % SYS(5) = Reserved for root finding. Must be zero. % SYS(6) = Direct feedthrough flag (1=yes, 0=no). The s-function % has direct feedthrough if U is used during the FLAG=3 % call. Setting this to 0 is akin to making a promise that % U will not be used during FLAG=3. If you break the promise % then unpredictable results will occur. % SYS(7) = Number of sample times. This is the number of rows in TS. % % % X0 = Initial state conditions or [] if no states. % % STR = State ordering strings which is generally specified as []. % % TS = An m-by-2 matrix containing the sample time % (period, offset) information. Where m = number of sample % times. The ordering of the sample times must be: % % TS = [0 0, : Continuous sample time. % 0 1, : Continuous, but fixed in minor step % sample time. % PERIOD OFFSET, : Discrete sample time where % PERIOD > 0 & OFFSET < PERIOD. % -2 0]; : Variable step discrete sample time % where FLAG=4 is used to get time of % next hit. % % There can be more than one sample time providing % they are ordered such that they are monotonically % increasing. Only the needed sample times should be % specified in TS. When specifying than one % sample time, you must check for sample hits explicitly by % seeing if % abs(round((T-OFFSET)/PERIOD) - (T-OFFSET)/PERIOD) % is within a specified tolerance, generally 1e-8. This % tolerance is dependent upon your model's sampling times % and simulation time. % % You can also specify that the sample time of the S-function % is inherited from the driving block. For functions which % change during minor steps, this is done by % specifying SYS(7) = 1 and TS = [-1 0]. For functions which % are held during minor steps, this is done by specifying % SYS(7) = 1 and TS = [-1 -1]. % Copyright (c) 1990-1998 by The MathWorks, Inc. All Rights Reserved. % $Revision: 1.12 $ % % The following outlines the general structure of an S-function. % switch flag, %%%%%%%%%%%%%%%%%% % Initialization % %%%%%%%%%%%%%%%%%% case 0, [sys,x0,str,ts]=mdlInitializeSizes(t); %%%%%%%%%%%%%%% % Derivatives % %%%%%%%%%%%%%%% case 1, sys=mdlDerivatives(t,x,u); %%%%%%%%%%% % Outputs % %%%%%%%%%%% case 3, sys = mdlOutputs(t,x,u); %%%%%%%%%%%%%%%%%%% % Unhandled flags % %%%%%%%%%%%%%%%%%%% case { 2, 4, 9 }, sys = []; %%%%%%%%%%%%%%%%%%%% % Unexpected flags % %%%%%%%%%%%%%%%%%%%% otherwise error(['Unhandled flag = ',num2str(flag)]); end % end sfuntmpl % %============================================================================= % mdlInitializeSizes % Return the sizes, initial conditions, and sample times for the S-function. %============================================================================= % function [sys,x0,str,ts]=mdlInitializeSizes(t) % % call simsizes for a sizes structure, fill it in and convert it to a % sizes array. % % Note that in this example, the values are hard coded. This is not a % recommended practice as the characteristics of the block are typically % defined by the S-function parameters. % sizes = simsizes; sizes.NumContStates = 50; sizes.NumDiscStates = 0; sizes.NumOutputs = 41; sizes.NumInputs = 32; sizes.DirFeedthrough = 1; sizes.NumSampleTimes = 1; % at least one sample time is needed sys = simsizes(sizes); % % initialize the initial conditions % global XMEAS XMV YP0 NN YY IDV NN = 50; TIME = t; YY = zeros(50,1); YP = zeros(50,1); % TEINIT Subroutine injected into S-function % Com