Controller design for nonlinear systems based on simultaneous stabilization theory and describing function models

Thesis/Dissertation · Wed Jan 01 04:00:00 EST 1986

OSTI ID:6457980

Nassirharand, A

A new systematic and algebraic linear controller design procedure was developed for use with feedback control systems that have highly nonlinear, single-input single-output, time invariant, deterministic, and continuous time plants. The procedure is composed of six primary steps: (1) specification of a set of performance measures for the closed-loop system either in the time domain or frequency domain, and identification of the linear reference model of an open-loop system whose performance is similar to that required from the closed-loop system; (2) characterization of the input/output behavior of the nonlinear plant; (3) identification of two linear systems whose input/output behavior approximates the input/output behavior the two quasilinear models of the plant whose gain characteristics bound those of all others in the class; (4) parameterization of the class of all controllers that simultaneously stabilize the two identified linear plants; (5) search of the class of all stabilizing controllers for the near-optimum linear controller; and (6) validation of the design via a digital simulation of the nonlinear feedback system. A set of appropriate numerical algorithms was developed, selected, and linked.

• Research Organization: Oklahoma State Univ., Stillwater (USA)
• OSTI ID: 6457980
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS
990220* -- Computers
Computerized Models
& Computer Programs-- (1987-1989)
ALGORITHMS
CLOSED-LOOP CONTROL
COMPUTERIZED SIMULATION
CONTROL
CONTROL SYSTEMS
FEEDBACK
MATHEMATICAL LOGIC
NONLINEAR PROBLEMS
OPEN-LOOP CONTROL
SIMULATION