A new CAD method and associated architectures for linear controllers

Author

Boyd, Stephen P. ; Balakrishnan, Venkataramanan ; Barratt, Craig H. ; Khraishi, Nasser M. ; Li, Xiaoming ; Meyer, David G. ; Norman, Stephen A.

Author_Institution

Dept. of Electr. Eng., Stanford Univ., CA, USA

Volume

33

Issue

3

fYear

1988

fDate

3/1/1988 12:00:00 AM

Firstpage

268

Lastpage

283

Abstract

A computer-aided design (CAD) method and associated architectures are proposed for linear controllers. The design method and architecture are based on recent results that parameterize all controllers that stabilize a given plant. With this architecture, the design of controllers is a convex programming problem that can be solved numerically. Constraints on the closed-loop system, such as asymptotic tracking, decoupling, limits on peak excursions of variables, step response, settling time, and overshoot, as well as frequency-domain inequalities, are readily incorporated in the design. The minimization objective is quite general, with LQG (linear quadratic Gaussian) H _∞ and new l₁ types as special cases. The constraints and objective are specified in a control specification language which is natural for the control engineer, referring directly to step responses, noise powers, transfer functions, and so on

Keywords

control system CAD; control system synthesis; controllers; convex programming; linear systems; CAD method; architectures; closed-loop system; convex programming; decoupling; frequency-domain inequalities; linear controllers; linear quadratic Gaussian; minimization; settling time; step response; tracking; transfer functions; Design automation; Design methodology; Design optimization; Frequency domain analysis; Optimal control; Power engineering and energy; Power engineering computing; Specification languages; Time factors; Transfer functions;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.404

Filename

404