K. J. Astrom and T. Hagglund. PID Controllers: Theory, Design, and Tuning. Instrument Society of America, (1995).  Home/Search   Document Not in Database   Summary   Related Articles   Check

.... stability of the closed loop system, but the output y s (t) will track the delayed reference y m (t h 1 ) and not the reference y m (t) So a standard technique could be used to design a controller K s for the system P s such that asymptotic tracking and regulation are achieved (see for example [12] for PID controller design methods and [13] for robust controller design methods) 2. Transparency (F e (t Fm (t) 0, the transfer function from y m to F h is given by: y m = F h (2) Using a standard technique, the controller Km can be designed such that a desired master ....

K. J. Astrom and T. Hagglund, PID controllers: theory, design and tuning. Instrument Society of America, Research Triangle Park, NC, 1995.

....in industrial applications. Koivo and Tanttu [1] for example, suggest that there are perhaps 510 of control loops that cannot be controlled by SISO PI or PID controllers; in particular, these controllers perform well for processes with benign dynamics and modest performance requirements [2, 3]. It has been stated that 98 of control loops in the pulp and paper industries are controlled by SISO PI controllers [4] and that, in process control applications, more than 95 of the controllers are of PID type [3] The PI or PID controller implementation has been recommended for the control of ....

.... well for processes with benign dynamics and modest performance requirements [2, 3] It has been stated that 98 of control loops in the pulp and paper industries are controlled by SISO PI controllers [4] and that, in process control applications, more than 95 of the controllers are of PID type [3]. The PI or PID controller implementation has been recommended for the control of processes of low to medium order, with small time delays, when parameter setting must be done using tuning rules and when controller synthesis is performed either once or more often [5] However, Ender [6] states ....

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Astrom, K.J. and Hagglund, T., PID Controllers: Theory, Design and Tuning. Instrument Society of America, Research Triangle Park, North Carolina, 2 nd Edition, 1995.

....the system is subject to constraints, such as bounded output powers, this might not be the case. This may result in an unstable system. One approach to reduce this e#ect is to identify the constraints f( so that the algorithm can adapt to the true output. This is referred to as anti reset windup [10]. In some cases, the signaling bandwidth of control signals is a limiting factor. A bandwidth e# cient signaling is obtained by only transmitting an increase decrease signal requiring only one bit. This is used in some CDMA implementations. The corresponding nonlinearity is referred to as a ....

K. Astrom and T. Hagglund. PID Controllers: Theory, Design, and Tuning. Instrument Society of America, Research Triangle Park, NC, USA, second edition, 1995.

....29EY , DjCM h jDc HEEN. rN. 7 29EY , DjCM h j9b HEEN. r Z kF r 9 k # )8f O P a k N CG( s U K K h C F J 5 l F k H ( k J0J e N5 =R O[Aa 80] L P :#0f81] r b H K 7 K # Astrom HHugglund O E57 E J 8; 2aDx N J C 9 rI=8= 9 k t oN N W i s H r9M ( Astrom et al..95] #1 D N oN On lag W i s H H 8F P l N h JEAC#4X t GI=8= 5 l k # 7n = 3, 4, 8 G k # G(s) 1 (1 s) n (40) JL N W O N h JEAC#4X t GI= 5 l k # G(s) 1 (1 s) 1 #s) 1 # 2 s) 1 # 3 s) 41) 7# = 0.2, 0.5, 0.7 ....

Astrom,K.J., and Hagglund,T., PID Controllers: Theory, Design, and Tuning, Second Edition, Instrument Society of America, 1995

....For instance, the Distributed Power Control (DPC) 4,3] algorithm is obtained when fi = 1 and fl tgt (t) is constant. In addition, it may be beneficial to introduce nonlinear components in the controller, such as anti reset windup, rate limiters, selectors etc. For further details we refer to [17,11]. 6 Analysis of SISO Controllers Here we use root locus to analyze stability properties of (3) with respect to time delays, and describing function to analyze the effects of non linearities. 6.1 Effect of time delays In down link communication, the mobile must send the measurements to the base ....

K. Astrom and T. Hagglund. PID Controllers: Theory, Design, and Tuning. Instrument Society of America, Research Triangle Park, NC, USA, second edition, 1995.

....of significant strides in the development of advanced control schemes over the past two decades, the simple PID controller and its variations remain the controllers of choice in many industrial applications. As many as 95 of all control loops in the process industries employ a PID type algorithm [1]. While the computational ability of modern day distributed control systems continues to increase, PID controllers remain a favorite because of their structural simplicity, reliability and favorable ratio between performance and cost [2] Beyond these benefits, PID controllers o#er the opportunity ....

Astrom, K.J., Hagglund, T., PID Controllers: Theory, Design, and Tuning, Instrument Society of America, Research Triangle Park, North Carolina, 1995.

....logarithms on each side of (3.8) revealing the integrating action of the algorithm. p i (t 1) p i (t) fi(fl tgt i (t) Gamma fl i (t) 3.9) 3.3. 4 PID Control In cases when we want a signal to track a certain target value, and it is hard to model the system completely, a PID controller [24] might be a good choice. It consists of a proportional (P) an integrating (I) and a differentiating (D) part. In general it is described by the Equations (3.10a c) where we have denoted SIR by fl and target SIR by fl tgt for simplicity. We also introduce the sampling interval T s (typically ....

....of the constraints, we first have to identify them. If the computed output power is p, we let f(p) denote the true output of the transmitter. Thus f( Delta) describe the total effect of hardware and external constraints. These effects can be reduced or eliminated by applying anti reset windup [24]. One common approach is to update the integrator state after computing the power level in (3.10c) which is described in (3.11) x(t 1) x(t 1) T s T t (f (p(t 1) Gamma p(t 1) 3.11) If T t = T s the integrator state will correspond to the actual output, which is generally ....

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K. Astrom and T. Hagglund. PID Controllers: Theory, Design, and Tuning. Instrument Society of America, Research Triangle Park, NC, USA, second edition, 1995.

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K. J. Astrom and T. Hagglund. PID Controllers: Theory, Design, and Tuning. Instrument Society of America, (1995).

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