Browsing by Subject "Multi-input multi-output systems"

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    PID controller synthesis for a class of unstable MIMO plants with I/O delays
    (Elsevier BV, 2007-01) Gündeş, A. N.; Özbay, Hitay; Özgüler, A. B.
    Conditions are presented for closed-loop stabilizability of linear time-invariant (LTI) multi-input, multi-output (MIMO) plants with I/O delays (time delays in the input and/or output channels) using PID (Proportional + Integral + Derivative) controllers. We show that systems with at most two unstable poles can be stabilized by PID controllers provided a small gain condition is satisfied. For systems with only one unstable pole, this condition is equivalent to having sufficiently small delay-unstable pole product. Our method of synthesis of such controllers identify some free parameters that can be used to satisfy further design criteria than stability.