Robust design of feedback integrated with iterative learning control for batch processes with uncertainties and interval time-varying delays

• Published in: Journal of process control Vol. 21; no. 7; pp. 987 - 996
• Main Authors: Wang, Limin, Mo, Shengyong, Zhou, Donghua, Gao, Furong
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.08.2011
• Subjects: 2D Rosser systems; Batch process; Delay-range-dependent; Iterative learning control; Linear matrix inequalities; Linear matrix inequalities; 2D Rosser systems; Delay-range-dependent; Batch process; Iterative learning control
• ISSN: 0959-1524; 1873-2771
• DOI: 10.1016/j.jprocont.2010.09.008

► A robust feedback integrated with iterative learning control scheme is developed for batch processes with state delay and uncertainties. ► The design of the scheme is transformed into a robust control problem of a 2D system. ► Delay-range-dependent stabilization criteria are derived in terms of LMIs. ► The controller gains are given in terms of the feasibility solutions to the LMIs. A robust feedback integrated with iterative learning control (FILC) scheme for batch processes with uncertain perturbations and interval time-varying delay is developed. The batch process is modeled as a two-dimensional (2D) Rosser system with a delay varying in a range. The design of FILC scheme is transformed into a robust control problem of uncertain 2D system. New delay-range-dependent stability criteria and stabilization conditions are derived in terms of linear matrix inequalities (LMIs), which depend on not only the difference between the upper and lower delay bounds but also the upper delay bound of the interval time-varying delay. Parameterized characterizations for stabilizing the controller are given in terms of the feasibility solutions to the LMIs. Applications to injection velocity control show that the proposed FILC achieve the design objectives well.