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Adaptive Two-Loop Control Scheme

The controller scheme developed in the following is based on the well-known GMC paradigm [22, 27] reviewed in Sect. 5.4.2. The key idea of this technique is that of globally linearizing the reactor dynamics by acting on the jacket temperature 7], which is, in turn, controlled by a standard linear (e.g., PID) controller. Since 7] does not play the role of the input manipulated variable, the only way to impose an assigned behavior to the jacket temperature is that of computing a suitable setpoint 7j,des, to be passed by a control loop closed around 7], Both in [22] and [27], the mathematical relationship between the jacket temperature and the setpoint is assumed to be a known linear first-order differential equation, from which Tj es is [Pg.104]

The whole control scheme is represented in Fig. 5.2. The first control loop (inner loop) is closed around the jacket temperature in such a way to track a desired temperature, 7j,des(0 = J2,des(0 to be determined then, an outer loop is closed around the reactor temperature so as to track the desired reactor temperature profile, 7r,des(0 = yi,des(0- The outer controller computes the desired jacket temperature on the basis of the reactor tracking error e = ypdes - yi and of the estimate of aq, while the inner controller receives y2,des as input and computes the temperature of the fluid entering the jacket, i.e., the manipulated input u. [Pg.105]

Since the control goal is the tracking of a temperature profile for the reactor, according to the GMC method, a desired profile for y must be chosen. By considering (5.12) and the expression of y = xatc+i given by (5.15), the following equality can be imposed  [Pg.105]

An alternative version of the control law (5.38), (5.39) can be obtained by setting the gains gi,r and gis to zero. Therefore, the following control law can be used  [Pg.106]

The convergence properties of the error variables (including the parameter estimation errors 60 = 6 - 90 and 9C = 9 - 9C) for the overall controller-observer scheme defined by (5.23)-(5.25) and (5.38)-(5.40) are established by the following theorem  [Pg.107]


See other pages where Adaptive Two-Loop Control Scheme is mentioned: [Pg.104]    [Pg.105]    [Pg.107]   


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