Incorporating waveform constraints in optimal design of sampling and hold functions

Presents a solution to the sampled-data H/sup /spl infin// control problem when the sampling function, the discrete-time controller and the hold function are all design parameters. The generalized sampling and hold functions are constrained to have piecewise impulse and piecewise constant waveforms, respectively. The resulting sampling and hold devices improve the control performance over that based on a zero-order-hold and on an ideal sampler, yet they are readily implementable on digital hardware, in contrast to the unconstrained ones.

[1]  G. E. Taylor,et al.  Computer Controlled Systems: Theory and Design , 1985 .

[2]  F. R. Gantmakher.  The Theory of Matrices , 1984 .

[3]  Pierre T. Kabamba,et al.  Optimal Hold Functions for Sampled Data Regulation , 1988, 1988 American Control Conference.

[4]  Petros G. Voulgaris,et al.  Optimal H ∞ and H 2 control of hybrid multirate systems , 1993 .

[5]  Gilead Tadmor,et al.  H ∞ optimal sampled-data control in continuous time systems , 1992 .

[6]  Geir E. Dullerud.  Control of Uncertain Sampled-Data Systems , 1995 .

[7]  Leonid Mirkin,et al.  On the characterization of sampled-data controllers in the lifted domain , 1997 .

[8]  Li Qiu,et al.  H∞ design of general multirate sampled-data control systems , 1994, Autom..

[9]  LEONID MIRKIN,et al.  H2 and Hinfinity Design of Sampled-Data Systems Using Lifting. Part I: General Framework and Solutions , 1999, SIAM J. Control. Optim..

[10]  M. Naumović.  Sampling in Digital Signal Processing and Control , 2001 .

[11]  Graham C. Goodwin,et al.  Sampling in Digital Sig-nal Processing and Control , 1996 .

[12]  Leonid Mirkin,et al.  H2 and Hinfinity Design of Sampled-Data Systems Using Lifting. Part II: Properties of Systems in the Lifted Domain , 1999, SIAM J. Control. Optim..

[13]  Bruce A. Francis,et al.  Optimal Sampled-Data Control Systems , 1996, Communications and Control Engineering Series.

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

[15]  Karl Johan Åström,et al.  Computer-Controlled Systems: Theory and Design , 1984 .

[16]  P. Khargonekar,et al.  H∞ control and filtering for sampled-data systems , 1993, IEEE Trans. Autom. Control..

[17]  Leonid Mirkin,et al.  Mixed discrete/continuous specifications in sampled-data H2-optimal control , 1997, Autom..

[18]  J. Doyle,et al.  Robust and optimal control , 1995, Proceedings of 35th IEEE Conference on Decision and Control.

[19]  G. Goodwin,et al.  Generalized sample hold functions-frequency domain analysis of robustness, sensitivity, and intersample difficulties , 1994, IEEE Trans. Autom. Control..

[20]  P. Kabamba.  Control of Linear Systems Using Generalized Sampled-Data Hold Functions , 1987, 1987 American Control Conference.

[21]  Mituhiko Araki,et al.  Recent Developments in Digital Control Theory , 1993 .

[22]  Bassam Bamieh,et al.  The H 2 problem for sampled-data systems m for sampled-data systems , 1992 .

[23]  B. Francis,et al.  Optimal Sampled-data Control , 1995 .

[24]  Leonid Mirkin,et al.  Discrete-time lifting via implicit descriptor systems , 1999, 1999 European Control Conference (ECC).

[25]  Bassam Bamieh,et al.  A general framework for linear periodic systems with applications to H/sup infinity / sampled-data control , 1992 .

[26]  Bassam Bamieh,et al.  The 2 problem for sampled-data systems , 1992, Systems & Control Letters.

[27]  Pramod P. Khargonekar,et al.  H 2 optimal control for sampled-data systems , 1991 .

[28]  Leiba Rodman,et al.  Algebraic Riccati equations , 1995 .

[29]  Leonid Mirkin,et al.  On discrete-time H∞ problem with a strictly proper controller , 1997 .

[30]  Leonid Mirkin,et al.  A new representation of the parameters of lifted systems , 1999, IEEE Trans. Autom. Control..