By Huang Sunan PhD, Tan Kok Kiong PhD, Lee Tong Heng PhD (auth.)
The presence of substantial time delays within the dynamics of many business techniques, resulting in tricky difficulties within the linked closed-loop keep an eye on platforms, is a well-known phenomenon. The functionality feasible in traditional suggestions keep an eye on platforms might be considerably degraded if an commercial procedure has a comparatively huge time hold up in comparison with the dominant time consistent. lower than those conditions, complicated predictive keep watch over is important to enhance the functionality of the keep an eye on procedure considerably.
The booklet is a concentrated remedy of the subject material, together with the basics and a few cutting-edge advancements within the box of predictive keep an eye on. 3 major schemes for complicated predictive regulate are addressed during this book:
• Smith Predictive Control;
• Generalised Predictive Control;
• a sort of predictive keep an eye on in accordance with Finite Spectrum Assignment.
A sizeable a part of the publication addresses program matters in predictive keep an eye on, offering numerous attention-grabbing case experiences for extra application-oriented readers. hence, whereas the publication is written to function a complicated keep watch over reference on predictive keep watch over for researchers, postgraduates and senior undergraduates, it may be both priceless to these commercial practitioners who're prepared to discover using complicated predictive keep watch over in actual difficulties. The prerequisite for gaining greatest take advantage of this publication is a easy wisdom of keep an eye on platforms, comparable to that imparted via a primary undergraduate direction on keep an eye on platforms engineering.
Advances in commercial Control goals to file and inspire the move of expertise up to speed engineering. The fast improvement of regulate expertise has an impression on all parts of the keep watch over self-discipline. The sequence bargains a chance for researchers to provide a longer exposition of recent paintings in all elements of business control.
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Extra resources for Applied Predictive Control
6 If ~i;? 45) where the non-negative real a(jw)/~(jw) - 1a(jw) / b(jw) 11 K, and non-negative integer ,\ satisfy ~ K,wA, w > f3 2: o. Proof Under the given conditions, Theorem 1 of Yamanaka and Shimemura (1987) is applicable to w(s) and the result follows directly. 4 Robust Stability In this sub-section, a robust stability analysis for FSA will be provided. 7 Assume that the family of systems described by I1 with norm-bounded uncertainty is 2. Dead Time Compensators where G(s) = ~~:? c Ls , (;(s) = 33 ~~;?
Thus, it is necessary to ensure that some performance specifications are met for all plants in the family IT. 6) where S is the sensitivity function, and W is the performance weight. In general, W- 1 provides a bound on the maximum peak of the function S, and imposes a minimum bandwidth constraint on the closed loop. For the simple choice of W- 1 = MP, robust performance only requires the maximum peak of the sensitivity function to be less than MP with no bandwidth constraint. The reader may refer to Laughlin et al.
Define 2. 13) and consider the fraction f(s)p-l(s). 14) • where Ai, i = 1,2" . " n, are n distinct poles of the system. 15) so that the degree of polynomial equation: k(s)b(s) h (s) is at most (n - 1). 16) for k(s) and h(s) such that k(s)/q(s) and h(s)/q(s) are both proper. 17) where r is the set-point. 17) is realisable and achieves arbitrary finite spectrum assignment. ::; 0, is the the finite interval L, and Cie-A,r is are of degree n - 2 and n - 1 (respech(s)q-l(S) are realisable. Furthermore, past history of the control signal over definite over the interval, the integral 20 Applied Predictive Control f~L e;,e->'iT"u(t + T)dT) can be determined for any t.
Applied Predictive Control by Huang Sunan PhD, Tan Kok Kiong PhD, Lee Tong Heng PhD (auth.)