Unified, periodic & sampled data H∞ control using the delta operator

• A unified and general framework is presented for H∞ control of mixed continuous-time and discrete-time time-varying (periodic) systems. Using the delta operator, a close relationship is shown between the continuous- and discrete-time solutions. No assumptions are made on certain system matrices being zero or normalized, which makes the approach general and easy to apply. A combined continuous/discrete-time lifting procedure is shown to be useful, especially for ill-conditioned systems. This procedure together with the delta formalism results in a numerically robust design method concerning both short and long sampling periods for systems with W-conditioned dynamics, including widely spread eigenvalues.

Ämnesord

TEKNIK OCH TEKNOLOGIER  -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)

ENGINEERING AND TECHNOLOGY  -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)

Nyckelord

HH∞ control

continuous time systems

discrete time systems

periodic control

time-varying systems

combined continuous/discrete time lifting procedure

delta operator

discrete-time time varying systems

ill conditioned systems

mixed continuous-time systems

numerically robust design method

sampled data H_∞ control

Automatic control

Automation

Control systems

Design methodology

Differential equations

Eigenvalues and eigenfunctions

Laboratories

Riccati equations

Robustness

Sampling methods

Produktions- och materialteknik

Manufacturing and materials engineering

Publikations- och innehållstyp

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