TY - JOUR
AU1 - Chang, Y.
AU2 - Shieh, L.
AU3 - Liu, C.
AU4 - Cofie, P.
AB - This paper presents a discrete-time state-space methodology for the digital modeling and design of an optimal digital proportional-integral-derivative (PID) plus state-feedback controller for multiple-input, multiple-output (MIMO) continuous-time systems with multiple time delays in states, inputs and outputs. To implement the digital design, first the Chebyshev quadrature formula together with a linear interpolation method is employed to obtain an extended discrete-time state-space model from the continuous-time multiple time-delay system. Then, a partially predetermined digital PID controller and the extended discrete-time state-space model are formulated as an augmented discrete-time state-space system utilizing state-feedforward and state-feedback linear-quadratic regulator (LQR) design. As a result, the parameters of the optimal PID controller and its associated state-feedback controller can be determined by tuning the weighting matrices in the LQR performance criteria. Further, an optimal discrete-time observer is jointly constructed for the multivariable system with multiple delays in states, inputs and outputs. The proposed design methodology can be applied to general MIMO continuous-time multiple time-delay systems for performance improvement and disturbance rejection. An illustrative example is given to demonstrate the effectiveness of the developed method.
TI - Digital Modeling and PID Controller Design for MIMO Analog Systems with Multiple Delays in States, InputsandOutputs
JF - Circuits, Systems and Signal Processing
DO - 10.1007/s00034-008-9073-4
DA - 2008-11-04
UR - https://www.deepdyve.com/lp/springer-journals/digital-modeling-and-pid-controller-design-for-mimo-analog-systems-WqgoyBUxQ0
SP - 111
EP - 145
VL - 28
IS - 1
DP - DeepDyve
ER -