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Abidi, Khalid; Soo, Hang Jian; Postlethwaite, Ian

Discrete-time adaptive control of uncertain sampled-data systems with uncertain input delay: a reduction. (English) Zbl 1542.93245

IET Control Theory Appl. 14, No. 13, 1681-1691 (2020).
Summary: This study proposes a discrete-time adaptive control approach for uncertain single-input single-output linear time-invariant sampled-data systems with uncertain, constant input time delay that has a known upper-bound, without explicitly estimating the time delay. To cope with the unknown time delay, a reduction approach similar to that proposed by Z. Artstein [IEEE Trans. Autom. Control 27, 869–879 (1982; Zbl 0486.93011)] is used, which results in a delay-free system that simplifies the control law design. In addition, the proposed control approach is capable of coping with bounded exogenous disturbances. A rigorous stability analysis shows that the proposed control approach drives the system output to a bound around the reference signal asymptotically, in the presence of an exogenous disturbance. Moreover, simulation results are shown to verify the approach.
© 2021 The Authors. IET Control Theory & Applications published by John Wiley & Sons, Ltd. on behalf of The Institution of Engineering and Technology

Cited in 2 Documents

MSC:

93C55 Discrete-time control/observation systems
93C40 Adaptive control/observation systems
93C41 Control/observation systems with incomplete information
93C57 Sampled-data control/observation systems
93C43 Delay control/observation systems

Keywords:

feedback; uncertain systems; robust control; adaptive control; nonlinear control systems; sampled data systems; control system synthesis; closed loop systems; delays; continuous time systems; discrete time systems; single-input single-output systems (control); uncertain single-input single-output linear time-invariant sampled-data systems; uncertain input time delay; constant input time delay; unknown time delay; reduction approach; delay-free system; control law design; system output; uncertain input delay; discrete-time adaptive control approach; bounded exogenous disturbances; stability analysis

Citations:

Zbl 0486.93011
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Full Text: DOI

References:

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