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Horizon-switching predictive set-point tracking under input-increment saturations and persistent disturbances. (English) Zbl 1360.93256

Summary: Predictive switching logic schemes are considered whereby a feedback-gain is switched-on at any time from a family of candidate feedback-gains so as to deal with the problem of set-point tracking in Asymptotically Null-Controllable with Bounded Input (ANCBI) systems under input-increment saturations and persistent arbitrary bounded disturbances. It is constructively shown that such schemes do exist which ensure, along with good tracking performance, global asymptotic and semi-global exponential stability in the noiseless case, as well as bounded-noise bounded-state \(l_\infty\)-stability, whenever the disturbances enter the system in such a way to make these properties conceptually achievable.

MSC:

93B51 Design techniques (robust design, computer-aided design, etc.)
93D20 Asymptotic stability in control theory
93C10 Nonlinear systems in control theory
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)

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