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1、原文 Tuning Of Fuzzy PID Controllers PID stands for Proportional, Integral and Derivative. The following explanations describe PID as it applies to the precise control of a process temperature. A process is an area or zone that is being controlled a t or driven to a precise temperature. PID is a contr
2、ol method or mode that has three functions or variables. The proportional action dampens process response. The integral corrects for droop. Droop is the difference in temperature between the process set point and the actual process temperature. The set point is the desired process temperature. The d
3、erivatives minimize overshoot and undershoot. Overshoot is the amount in temperature units that the process temperature exceeds the set point before the process stabilizes. Process stabilization is achieved when the set point and process temperatures are equal over a defined period of time. Undersho
4、ot is the amount in temperature units that the process temperature falls below the set point before the process stabilizes. Proportional is the control output effort in proportion to the error from set point. A control output is a signal action delivered in response to the difference between set poi
5、nt and process temperature. An output usually controls a heating or cooling action. The proportional range is referred to as a “band” and is usually measured in temperature units. If a proportional band of 20 degrees were applied to a process that is 10 degrees below set point, the heat output would
6、 be 50 percent. The lower the proportional band, the higher the gain. Gain is the amount of amplification used in an electrical circuit. Proportional band is sometimes referred to as gain. The proportional band or PB is a range in which the proportioning function of the controller is active. The PB
7、units are usually expressed in degrees. Integral is a control action that automatically eliminates droop or offset. Offset is the same as droop and is the difference in temperature between the process temperature and the set point. Droop or offset is a typical result when using proportional control.
8、 Integral is also known as “Reset”. Is also known as “Reset”. Derivative is the rate of change in a process temperature. Large values prevent overshoot but can cause sluggishness. It is also known as “Rate” word 文档可编辑 Since fuzzy controllers are nonlinear, it is more difficult to set the controller
9、gains compared to proportional-integral-derivative (PID) controllers. The idea is to start with a tuned, conventional PID controller, replace it with an equivalent linear fuzzy controller, make the fuzzy controller nonlinear, and eventually fine-tune the nonlinear fuzzy controller. This is relevant
10、whenever a PID controller is possible or already implemented. When the control problem is to regulate the process output around a set point, it is natural to consider HUURU as an input, even to a fuzzy controller, and it follows that the integral of the error and the derivative of the error may be u
11、seful inputs as well. In a fuzz field PID controller, however, it is difficult to tell the effect of each gain factor on the rise time, overshoot, and settling time, since it is most often nonlinear and has more tuning gains than a PID controller. A systematic tuning procedure would make it easier t
12、oinstall fuzzy controllers, and it might pave the way for auto-tuning of fuzzy controllers. PID controllers may be tuned in a variety of ways, including hand tuning, Ziegler-Nichols tuning, loop shaping, analytical methods, by optimization, pole placement, or auto-tuning (Smith, 1979; Astrom Mizu-mo
13、to, 1992; Qiao Tso that gain is the ultimate word 文档可编辑 gain. (b) Read the time between peaks at this setting. (c) The sample period may be related to the derivative gain. In connection with the Ziegler-Nichols rules, this implies that should approximately equal 4 _ 8 percent of the ultimate period
14、is another rule says that it should be chosen somewhat smaller than the dominating time constant in the process, Ziegler and Nichols also give another method called the UHDFWLRQ FXUYH or VWHS UHVSRQVH method (see for example Astrom GHFD UDWLR is the ratio between two consecutive peaks of the error a
15、fter a step change in reference or load. Thus in a quarter-decay response the second overshoot is 25 % of the first , a compromise between a fast response and a small overshoot. The results are poor for systems where the time lag is much greater than the dominating time constant. In general, the rul
16、es often result in rather poor damping, but they do provide the right magnitude of the gains. The gains found by either method, must sometimes be regarded as approximate values, a starting point for a hand tuning. Hand tuning is based on certain rules of thumb used by experienced process engineers.
17、The following is a hand-tuning procedure adapted from Smith (1979). (a) Remove all integral and derivative action by setting (b) Tune the proportional gain to give the desired response, ignoring any final value offset from the set point. (c) Increase the proportional gain further and adjust the deri
18、vative gain Wg to dampen the overshoot. (d) Adjust the integral gain to remove any final value offset. The tuning is a compromise between fast reaction and stability. (e) Repeat until the proportional gain Ns is as large as possible. word 文档可编辑 The procedure adjusts the derivative gain before the in
19、tegral gain, but in practice the sequence may be reversed. The advantage of hand tuning is that a process engineer can use the procedure right away, on-line, and develop a feel for how the closed loop system behaves. A disadvantage is that it may take a long time to develop this feel, and it is diff
20、icult to sense whether the final settings are optimal. the integral action will decrease it if the error is negative. A controller with integral action will always return to zero in steady state. It is possible to obtain a fuzzy PI controller using error and change in error as inputs to the rule bas
21、e. Experience shows, however, that it is rather difficult to write rules for the integral action. Problems with LQWHJUDWRU ZLQGXS also have to be dealt with. Since a fuzzy PID controller contains a crisp PID controller as a special case, it is true to say that it performs at least as well. It is com
22、forting in process control systems to start 21.in the PID domain and gradually make it fuzzy. From: jjiau.dtu.dk:Date: July.2005Author: Jan Janssen 附录 B译文 模糊控制 PID 的调节 PID代表比例、积分和微分。以下各项解释描述PID,当它应用于过程温度精密的控 word 文档可编辑 制。 一个过程量是一个区域或正在被控制区, 是个被控制的区或者区别一个精确的温度。 PID是一个控制方法或是有三个功能或参数的模式。 比例可以抑制处理响应过程。积
23、分为衰减改善。衰减在程序设定值和实际温度之间 的温度是不同的。 设定值是被需要的过程温度值。 积分量是将超调量和欠过度降到最小。 超调量在温度单位中是数量过程温度,设定值在过程量前是稳定的。当设定值和过程温 度被定义的时候是相等的,这时此过程就被达到稳态。欠过度在温度单位中是一个数量 过程温度 这个温度在过程前衰减到设定值达到稳态。比例项是努力控制输出,在与设 定值相比是错误的。在设定值设定之后一个控制输出之间的差别是被传递的一个信号。 一个输出经常是控制加热和冷却的作用。在比例范围内是被称之为“能带”,比例也经 常是在温度单位中被测量。一个温度是否为20度的一个比例带,被应用在10度的设定值
24、 时, 热输出会是50。比例值越低,增益越高。在一个电路中,增益是一个放大器的 数量。比例带有时被称为增益。比例带或者PB是一个范围,在这个范围内比例控制器是 活跃的。在温度中PB单元是经常被这样表示的。 积分是控制活动能自动消除偏差。偏差(补偿)是相同于衰减并且在过程温度和给 定点中是不同的。当使用比例控制的时候,衰减或偏差是一个典型的结果。积分也可以 被叫做“复置”。 微分是一个变化范围在过程温度中。大的微分值可避免超调,但是能引起(变超调 量过小)。它也被叫做“比率”。 模糊控制是非线性的,它与比例积分微分(PID)控制器相比很难设定其控制 器的增益。大体是开始调节传统的 PID 控制器
25、时,用一个线性的模糊控制器来代替它, 做成线性的模糊控制器,与非线性的模糊控制器相比是一样的,无论任何一个 PID 控制 器这样做都是有可能。 当此过程量在给定量的周围有规律时, 它自然考虑到 HUURU 是一个输入甚至是一 个模糊控制器,跟下面的积分的偏差和微分的偏差都被使用到输入当中也是很好的。然 而,在模糊控制 PID 控制器领域,每天一个增益的原因都很难努力达到理想的上升时间 的,超调量和调节时间,至从有了 PID 控制器就比非线性的控制器调节好多了。 一个过程调节系统安装模糊控制器后,它将可能进入自动模糊控制状态。 PID 控制器可以是多样调节的包括手动调节,Z-N 法调节,闭环调节
26、,分析方法, 通过接地很好的完善或是自动调节(Smith, 1979; Astrom & Hagglund, 1995) 。而且, 在某 个假设下,模糊的控制器与 PID 控制器显示出类似 word 文档可编辑 但是它似乎在 PID 调节方法和 PID 的模糊的控制器的策略类型之间,仍然是有差 距。 在实现模糊的控制器前的 PID 设计技术: 1调节一个 PID 控制器。 2用一个相等的线性的模糊的控制器代替它。 3 用一个敏感的 PID 控制器开始控制器设计可得到好的调节, 似乎易卷曲的 PID, 也许只是用比例控制器,就可达到稳定的系统。 如果过程动力学被考虑, 如果 Ns 是过高的, 闭
27、环系统将通常是不稳定的。 显然 Ns 设定值与控制目的之间是平衡稳定的,噪音敏感,并且有一定规则。一个 PID 控制器 可以被调节使用。 Z-N 法: (a)增加比例的增益直到系统震荡;那增益是最终的被获得。 (b)在这个设定值在波峰之间读出值。 (c)样品周期可以被联系到微分增益。 在有 Z-N 法规则的连接,这暗示应该近似等于另外的规则说它应该被选择的最终 的值为 4 -8 百分比有点小在过程的举例中的时间常数。 齐格勒和尼科尔斯也给被称为UHDFWLRQFXUYH 或 VWHSUHVSRQVH 方法的另外的方法(例如 Astrom 与 Hagglund 所见, 1995 )。如果在闭环系统的波动 不能被接受,那使用开环,并且会发现增益的反应,这就是一个优点。 调节上升时间射增加 Ns 更快增加的稳定性,更慢得到更坏的增量。齐格勒和尼科 尔斯用一段时间的获得一个线性的系统滞后的积分的规则。在 1/4 衰减响应,第二调节 量是第一调节量的 25 %,折中是指明在快速响应和小的调节量之间一个值。 增益能通过任何一个方法被发现,必须
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