Recent Developments in Digital Control Theory

Abstract Recent, reasearches on application of nonconventional digital controllers are surveyed, Here, nonconventional digital controllers mean digital controllers equipped with general hold circuits, general samplers or periodically time-varying discribe-time compensators, and include multirate digital controllers as a spcial case, First, their basic features ane studied. Then, their advantages pitfalls, and limitation are explained. After that, the problem: “when and how to use nonconventional digital controllers?” is considered. The scope is limited to the control problems of time-invariant continuous-time plants, emphasis is placedon explaining the basic aspects of reasearches and clarifying their interrelations.

[1]  Riccardo Scattolini,et al.  Multirate self-tuning predictive control with application to binary distillation column , 1990 .

[2]  Kang-Zhi Liu,et al.  Design of optimal strongly stable digital control systems and application to output feedback control of mechanical systems , 1987 .

[3]  A. Bülent Özgüler,et al.  Decentralized simultaneous stabilization and reliable control using periodic feedback , 1992 .

[4]  George C. Verghese,et al.  Periodically varying compensation of time-invariant systems , 1982 .

[5]  Tadeusz Kaczorek,et al.  Pole placement for linear discrete-time systems by periodic output feedbacks , 1985 .

[6]  Cornelius T. Leondes,et al.  On the design of linear time invariant systems by periodic output feedback Part I. Discrete-time pole assignment† , 1978 .

[7]  Hisashi Kando,et al.  Multirate digital control design of an optimal regulator via singular perturbation theory , 1986 .

[8]  L. F. Godbout,et al.  A closed-loop model for general multirate digital control systems , 1988 .

[9]  Albert B. Chammas,et al.  Pole assignment by piecewise constant output feedback , 1979 .

[10]  Graham C. Goodwin,et al.  Linear periodic control: A frequency domain viewpoint , 1992 .

[11]  Cornelius T. Leondes,et al.  On the finite time control of linear systems by piecewise constant output feedback , 1979 .

[12]  Yoshihiko Miyasato Adaptive Control by Periodic Time-Varying Feedback , 1991 .

[13]  Bruce A. Francis,et al.  Uniformly optimal control of linear feedback systems , 1985, Autom..

[14]  Tomomichi Hagiwara,et al.  Generalized multirate-output controllers , 1990 .

[15]  Tzuu-Hseng S. Li,et al.  Stabilization bound of discrete two-time-scale systems , 1992 .

[16]  Brian D. O. Anderson,et al.  Practical issues in multirate output controllers , 1991 .

[17]  David Jordan,et al.  A time invariant approach to multirate optimal regulator design , 1991 .

[18]  Romeo Ortega,et al.  On generalized predictive control: Two alternative formulations , 1989, Autom..

[19]  Jacques L. Willems Elimination of fixed modes in decentralized systems by means of sampling , 1988 .

[20]  Andrzej W. Olbrot,et al.  Robust stabilization of uncertain systems by periodic feedback , 1987 .

[21]  B. Lennartson Periodic Solutions of Riccati Equations Applied to Multirate Sampling , 1988 .

[22]  D. Youla,et al.  Single-loop feedback-stabilization of linear multivariable dynamical plants , 1974, Autom..

[23]  Jacques L. Willems,et al.  On the assignment of invariant factors by time-varying feedback strategies , 1984 .

[24]  Brian D. O. Anderson,et al.  Performance study of multi-rate output controllers under noise disturbances , 1992 .

[25]  Peter M. Thompson,et al.  Gain and phase margins of multi-rate sampled-data feedback systems† , 1986 .

[26]  Tomomichi Hagiwara,et al.  On the necessary condition for discrete-time polc-assignability by piecewise constant output feedback , 1986 .

[27]  Cisheng Zhang,et al.  A dual rate digital compensator for zero assignment , 1992 .

[28]  A. Arapostathis,et al.  The effect sampling on linear equivalence and feedback linearization , 1990 .