GENERALIZED MINIMUM VARIANCE CONTROL WITH TIME SHIFT MULTIPLICATIONS
MASAYOSHI DOI* Yasuchika Mori*
* National Defense Academy, Yokosuka
This paper describes a Generalized Minimum Variance Control (GMVC) strategy for time varying systems (TVS). If GMVC applies to TVS, be conscious of the time varying multiplication, such as multiplying that comprises of more than two polynomials. In TVS, the time varying multiplication includes the time shift operator. The calculation of time shift multiplication was proposed by Zhen. Li. However, GMVC must be designed for servo systems. Then, the time varying multiplication is composed of double formed time varying multiplication. This paper improves the calculation of the double formed time varying multiplication. Furthermore, the proposed GMVC is verified with the servo characteristic and the noise characteristic. The simulation compares the proposed GMVC with the conventional GMVC for TVS.
Keywords: Coloured Noise, Discrete Time Systems, Disturbance Rejection, Minimum Variance Control, Polynomials, Predictive Control, Servo Systems, Time Delay, Time Varying Systems
Session slot T-Fr-M16: Advances in MV and LQ Controller Design/Area code 2a : Control Design

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