Robust PI stabilization of a class of continuously stirred‐tank reactors

Self-repairing control via an unstable filter

“…Viel et al (1997), Alvares-Ramirez (1999) and Allgöwer, Ashman, and Ilchmann (1997). In this paper, the following simplest controller is adopted:…”

“…Because the failed sensor is replaced before the signals in the SRCS diverge out, it can be guaranteed that all the signals are bounded. This paper also presents an application to a nonlinear continuously stirred tank reactor (CSTR) which is recognized as one of the fundamental chemical equipments (Alvares-Ramirez, 1999;Seborg, Edgar, & Mellichamp, 1989;Viel, Jadot, & Basin, 1997). Several interesting fault-tolerant control strategies for the CSTR have been already investigated by Mhaskar, Gani, MacFall, Christofides, and Davis (2007) and Mhamood, Ganhi, and Mhaskar (2008).…”

Nonlinear PI controllers for continuous bioreactors using population balance models

“…where rðx 3 Þ ¼ R 1 0C ða 0 ; x 3 ÞW pss ða 0 Þ ð1Àa 0 Þ da 0 and r ss ¼ R 1 0W pss ða 0 Þ ð1Àa 0 Þ da 0 : Referring the issue in [1,16], if the output of the first-order reference model is…”

“…Besides, Pe´rez and Albertos [12] indicated that some of the PIbased control systems could cause the undesired state oscillation. Recently, Alvarez-Ramirez [1] proposed the observer-based PI configuration to stabilize a class of nonlinear systems, Wu [16] proposed the bounded control scheme to ensure the closed-loop performance of system with chaotic or self-oscillating behavior, and Wright et al [15] used the feedback linearization technique to establish a model-based PI/PID controller for lower-order nonlinear systems. It is obvious that the nonlinear PI control designs can improve the output regulation of a specific nondistributed nonlinear system.…”

Output regulation of a class of unstructured models of continuous bioreactors: steady-state approaches

“…Since fermentation systems have severely nonlinear and inverse response behavior, their nonlinear PI control strategies could be conditionally applied for the productivity control of fermenters. However, their control schemes seldom pose stability problems in the face of the phenomenon of reset windup [15]. Regarding recently advanced control techniques, Dochain [16] proposed adaptive linearizing control to enhance the robustness for non-minimum-phase bioprocesses.…”