Journal
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 61, Issue 12, Pages 4196-4202Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2016.2552978
Keywords
Bounded input; input-to-state stability; integral control; nonlinear systems; small-gain theorem
Funding
- EPSRC, U.K. [EP/J01558X/1]
- Engineering and Physical Sciences Research Council [EP/J01558X/1] Funding Source: researchfish
- EPSRC [EP/J01558X/1] Funding Source: UKRI
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A fundamental problem in control systems theory is that stability is not always guaranteed for a closed-loop system even if the plant is open-loop stable. With the only knowledge of the input-to-state (practical) stability (ISpS) of the plant, in this note, a bounded integral controller (BIC) is proposed which generates a bounded control output independently from the plant parameters and states and guarantees closed-loop system stability in the sense of boundedness. When a given bound is required for the control output, an analytic selection of the BIC parameters is proposed and its performance is investigated using Lyapunov methods, extending the result for locally ISpS plant systems. Additionally, it is shown that the BIC can replace the traditional integral controller (IC) and guarantee asymptotic stability of the desired equilibrium point under certain conditions, with a guaranteed bound for the solution of the closed-loop system. Simulation results of a dc/dc buck-boost power converter system are provided to compare the BIC with the IC operation.
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