Title :
Discrete-time mixed-norm H2/H∞ controller synthesis
Author :
Davis, Larry D. ; Collins, Emmanuel G., Jr. ; Haddad, Wassim M.
Author_Institution :
Gov. Aerosp. Syst. Div., Harris Corp., Melbourne, FL, USA
fDate :
29 June-1 July 1994
Abstract :
H2/H∞ optimal control synthesis enables the design of controllers for simultaneous rejection of both narrow-band and wide-band disturbances and also has applications in robust control. Synthesis equations in the form of coupled Riccati and Lyapunov equations are available for both full-order and reduced-order, continuous-time H2/H∞ control design and it is possible to base numerical algorithm on these synthesis equations. However, currently it has not been found feasible to develop such synthesis equations for the equivalent discrete-time problems. This highlights the necessity of parameter optimization approaches for the design of discrete-time H2/H∞ controllers. This paper considers H2/H∞ discrete-time controller design and develops a zero-predictor continuation algorithm that uses quasi-Newton steps for correction. The algorithm is illustrated using a benchmark noncollocated flexible structure example.
Keywords :
H∞ control; Lyapunov matrix equations; Riccati equations; control system synthesis; discrete time systems; predictor-corrector methods; robust control; H2/H∞ optimal control synthesis; Lyapunov equations; benchmark noncollocated flexible structure example; coupled Riccati equations; discrete-time mixed-norm H2/H∞ controller synthesis; disturbance rejection; quasi-Newton steps; robust control; zero-predictor continuation algorithm; Attenuation; Cost function; Equations; Hydrogen; Integrated circuit noise; MATLAB; Steady-state; Transfer functions; White noise;
Conference_Titel :
American Control Conference, 1994
Print_ISBN :
0-7803-1783-1
DOI :
10.1109/ACC.1994.751927
