Thereare richtheories and designs for generalcontrolsystems,but usually, they will not lead to PID controllers. Noting that the PID controller has been the most popular one in industry for over ?fty years, we will con?ne our discussion hereto PIDcontrolonly. PID controlhasbeenanimportantresearchtopicsince 1950’s, and causes remarkable activities for the last two decades. Most of the existing works have been on the single variable PID control and its theory and design are well established, understood and practically applied. However, most industrial processes are of multivariable nature. It is not rare that the overall multivariable PID control system could fail although each PID loop may work well. Thus,demandforaddressingmultivariableinteractionsishighforsuccessful applicationofPIDcontrolinmultivariableprocessesanditisevidentfrommajor leading control companies who all rankedthe couplings of multivariable systems as the principal common problem in industry. There have been studies on PID control for multivariable processes and they provide some useful design tools for certaincases. But itis notedthat the existing worksaremainlyfor decentralized form of PID control and based on ad hoc methodologies. Obvious, multivariable PID control is much less understood and developed in comparison with the single variable case and actual need for industrial applications. Better theory and design have to be established for multivariable PID control to reach the same maturity and popularity as the single variable case. The present monograph puts together, in a single volume, a fairly comp- hensive, up-to-date and detailed treatment of PID control for multivariable p- cesses, from paring, gain and phase margins, to various design methods and applications.

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From the reviews:

"This is an interesting and original monograph written by well-known professors at two universities in Singapore. ... The material presented in the monograph is based on research results of the authors and their coworkers. The book is addressed to graduate students, researchers and practicing engineers." (T. Kaczorek, Mathematical Reviews, Issue 2009 d)

“In the monograph PID Control algorithms for finite-dimensional, linear, continuous-time dynamical systems are studied. ... the monograph contains many remarks and fruitful comments on PID control problems for linear systems. Moreover, it contains relationships to the similar results existing in the literature. The list of references has 229 positions, mainly published in the few last years. Summarizing the presented monograph contains comprehensive and detailed treatment of PID control for multivariable, continuous time, finite-dimensional dynamical systems with constant coefficients.” (Jerzy Klamka, Zentralblatt MATH, Vol. 1181, 2010)

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