Advanced Control for Constrained Processes and Systems by Fabricio Garelli

By Fabricio Garelli

Presents a unified virtually oriented therapy to many restricted keep watch over paradigms-Helps to lessen the distance among the on hand restricted regulate literature and commercial functions. Contents: Constraints in suggestions platforms. facing constraints in SISO keep an eye on. a few functional case reviews. proper instruments for dynamic decoupling. limited dynamic decoupling. enhancing decoupling in decentralised regulate. Partial decoupling and non-minimum section structures. MIMO bumpless move.

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Vn ŠT . The dependence of variables hs on rfp can be removed by properly choosing the components tk with r þ 1 k n [65]. We assume in the following that this was carried out. 44). We then propose for this non-linear case s~ðxÞ ¼ v~ À v À k T x_s ¼ v~ Àv À r X k a vðaÞ a¼1 CH002 2 September 2011; 18:39:59 ð2:75Þ 48 Advanced control for constrained processes and systems where k ¼ col(ka) is again a vector of constant gains with k r 6¼ 0. 74)), and r_fp is given by r_ f p ¼ Àlf ðrf p À d À r À wÞ þ d_ ð2:76Þ because of the first-order filter of SMRC schemes.

In effect, the attractive robustness properties of SM strategies are only present during SM operation, but not during the reaching phase. Consequently, the reaching mode may degrade the global performance of a VSS [84]. However, in the SMRC methodology discussed in this chapter, there is no reaching mode because of its operation principle. Since the desired mode of operation falls within system limits, no control action is applied to drive the system state towards the sliding surfaces. Instead, they are reached only if the own trajectories of the system are likely to violate the unavoidable bounds, leading to transient SM establishment on the limiting surface to avoid it.

78), which determine the reduced dynamics during SMRC. In fact, these equations depend neither on the reference input r nor on the disturbance d. It is said that SM dynamics presents a strong invariance property to a perturbation d when its ideal sliding dynamics is completely independent of d [114]. e. 2. 45) satisfy the matching condition. 6: The above analysis is of great importance to determine in each particular application against which kind of uncertainty or disturbances the SMRC approach is completely robust.

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