Read e-book online Advanced Control for Constrained Processes and Systems PDF

By Fabricio Garelli

Presents a unified virtually oriented remedy to many restricted regulate paradigms-Helps to lessen the distance among the to be had restricted regulate literature and business functions. Contents: Constraints in suggestions platforms. facing constraints in SISO regulate. a few functional case experiences. suitable instruments for dynamic decoupling. restricted dynamic decoupling. bettering decoupling in decentralised keep an eye on. Partial decoupling and non-minimum part structures. MIMO bumpless move.

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Additional info for Advanced Control for Constrained Processes and Systems

Example text

9). g. a PI controller). Therefore, its dynamic behaviour can be represented by ( S c ðsÞ : x_ s ¼ As xs þ bs rf p v ¼ cTs xs þ d s rf p ð2:1Þ with xs 2 X s & Rn , As 2 Rn  n , bs ; cs 2 Rn and d s 2 R, d s 6¼ 0. Its perturbed input is rf p ¼ rf þ d ð2:2Þ where d is a disturbance signal. 1) as follows: 8 > < v if v > v ^ ð2:3Þ v ¼ v if v v v > : v if v < v where the constant values v and v correspond to the upper and lower limits allowed for variable v. 3) represents amplitude saturation, any other typical non-linearity could have been considered.

6)). 01 [time units]. 43). In this way, when the state x3 is about to reach its predefine bound, the SMRC shapes the reference signal via the discontinuous action w in order to limit it. 2 (dotted lines). Evidently, SMRC greatly improves the closed-loop responses, avoiding the undesired effect of plant windup. 3 Constrained unstable system Undesired effects of controller and plant windup are much worse in unstable systems. 2 This is because the output variable may reach values from which the constrained control action is not able to bring it back.

2 (dotted lines). Evidently, SMRC greatly improves the closed-loop responses, avoiding the undesired effect of plant windup. 3 Constrained unstable system Undesired effects of controller and plant windup are much worse in unstable systems. 2 This is because the output variable may reach values from which the constrained control action is not able to bring it back. Thus, there is always a range of the output variable that has not to be exceeded in order to avoid the system to become unstable. Naturally, this restricts the reference amplitude and/or the initial conditions (to the so-called maximal output admissible sets [44]).

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