H∞-optimal sampled-data control: Computation and designs

Abstract H ∞ -optimal control of sampled-data systems is considered. The H ∞ analysis or synthesis problem requires iteration on the achievable performance level γ For each iteration, the sampled-data problem is reduced to an equivalent discrete-time problem. In this paper, a new set of formulas is obtained for the equivalent discrete-time system; in each iteration, the formulas depend on computing only one matrix exponential function. The formulas are applied to a design example, yielding interesting results.

[1]  Shinji Hara,et al.  H∞ type problem for sampled-data control systems-a solution via minimum energy characterization , 1994, IEEE Trans. Autom. Control..

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

[3]  Tamer Basar,et al.  Optimum H designs under sampled state measurements , 1991 .

[4]  Pramod P. Khargonekar,et al.  H∞ control and filtering with sampled measurements , 1991, 1991 American Control Conference.

[5]  Yutaka Yamamoto,et al.  New approach to sampled-data control systems-a function space method , 1990, 29th IEEE Conference on Decision and Control.

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

[7]  Stephen P. Boyd,et al.  A bisection method for computing the H∞ norm of a transfer matrix and related problems , 1989, Math. Control. Signals Syst..

[8]  Hannu T. Toivonen,et al.  Sampled-data control of continuous-time systems with an H∞ optimality criterion , 1992, Autom..

[9]  Yutaka Yamamoto.  On the state space and frequency domain characterization of H ∞ -norm of sampled-data systems , 1993 .

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

[11]  Shinji Hara,et al.  Worst case analysis and design of sampled data control systems , 1990, 29th IEEE Conference on Decision and Control.

[12]  P. Khargonekar,et al.  Characterization of the ${\cal L}_2$-Induced Norm for Linear Systems with Jumps with Applications to Sampled-Data Systems , 1994 .

[13]  B. Francis,et al.  A lifting technique for linear periodic systems with applications to sampled-data control , 1991 .

[14]  Gilead Tadmor.  Optimal H∞ sampled-data control in continuous time systems , 1991, 1991 American Control Conference.

[15]  P. Khargonekar,et al.  On the weighted sensitivity minimization problem for delay systems , 1987 .