By Professor Panagiotis D. Christofides, Professor Nael H. El-Farra (auth.)
This monograph offers perception and basic figuring out into the suggestions keep an eye on of nonlinear and hybrid approach structures. It offers state of the art equipment for the synthesis of nonlinear suggestions controllers for nonlinear and hybrid platforms with uncertainty, constraints and time-delays with quite a few functions, in particular to chemical tactics. It covers either nation suggestions and output suggestions (including country estimator layout) controller designs. regulate of Nonlinear and Hybrid procedure platforms comprises a variety of reviews and comments supplying perception and primary knowing into the suggestions regulate of nonlinear and hybrid structures, in addition to purposes that exhibit the implementation and effectiveness of the provided regulate tools. The e-book contains many targeted examples which might be simply converted by means of a regulate engineer to be adapted to a particular program. This booklet turns out to be useful for researchers up to speed structures thought, graduate scholars pursuing their measure up to the mark platforms and keep an eye on engineers.
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Additional resources for Control of Nonlinear and Hybrid Process Systems: Designs for Uncertainty, Constraints and Time-Delays
A great deal of research has been devoted to this subject over the last three decades, as evidenced by the comprehensive books [126, 208] and the references therein. In this section, we brieﬂy review some of the basic geometric concepts that will be used in subsequent chapters. While this book does not require the formalism of diﬀerential geometry, we will employ Lie derivatives only for notational convenience. If f : IRn −→ IRn is a vector ﬁeld ∂h f (x). , inﬁnitely diﬀerentiable) vector functions.
T) , t ≥ 0 where the function θ is measurable (with respect to the Lebesgue measure). e. it is the smallest positive integer M such that f is bounded by M almost everywhere. For simplicity, we will suppress the time-dependence in the notation of the uncertain variable θk (t). Preparatory for its use as a tool for robust optimal controller design, we begin by reviewing the concept of inverse optimality introduced in the context of robust stabilization in . 1) with q = 1 and w(0) = 0. 3) where the value function V is the unknown.
26), allows us to achieve attenuation of the eﬀect of θ on y without using unreasonably large (high-gain) control action. The use of a high-gain controller of the form 1 u = us where is a small positive parameter could also lead to uncertainty attenuation at the expense of employing unnecessarily large control action (see the example in Sect. 4 for a numerical veriﬁcation of this fact). 7. 21) possesses four adjustable parameters that directly inﬂuence the performance of the output of the closed-loop system and the achievable level of uncertainty attenuation.