Journal
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS
Volume 56, Issue 9, Pages 3723-3732Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIE.2009.2025713
Keywords
Asymptotically stable; chemical reactor systems; Lyapunov-Krasovskii functional; memoryless controller; time-delay systems
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Funding
- Province of Ontario Ministry and Innovation Postdoctoral Fellowship,
- Program for New Century Excellent Talents in the University of China
- National Natural Science Foundation of China [60604004, 60874020]
- Science and Technology Commission of Shanghai Municipality, China [08511501600]
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The state feedback control problem is addressed for a class of nonlinear time-delay systems. The time delays appear in all state variables of the nonlinear system, which brings a challenging issue for controller design. With an introduced new Lyapunov-Krasovskii functional, we develop a novel control strategy. With the help of a backstepping method, we design a memoryless state feedback controller, which does not need the precise knowledge of time delays. It is rigorously proved that the closed-loop system is asymptotically stable. Chemical reactor plants are typical nonlinear systems with time delays. We apply the developed method to the control design of a two-stage chemical reactor with delayed recycle streams, and the simulation results verify the effectiveness of the main results.
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