Controller design with actuator constraints

Author

Tsirukis, Athanasios G. ; Morari, Manfred

Author_Institution

Dept. of Chem. Eng., California Inst. of Technol., Pasadena, CA, USA

fYear

1992

fDate

1992

Firstpage

2623

Abstract

The infinite-horizon model predictive controller (IH-MPC) can globally stabilize discrete linear systems in the presence of actuator constraints as long as their eigenvalues lie in the closed unit disk. These conditions are proven to be necessary and sufficient, i.e., if the system cannot be stabilized by IH-MPC, then there exists no other stabilizing control law. Finally, the form of infinite-horizon optimal controller (IH-OC), which is a limiting case of IH-MPC, coupled with an asymptotic observer is shown to stabilize certain classes of linear systems with output feedback in the presence of asymptotically vanishing disturbances

Keywords

control system synthesis; discrete systems; optimal control; predictive control; stability; actuator constraints; asymptotic observer; asymptotically vanishing disturbances; closed unit disk; controller design; discrete linear systems; eigenvalues; global stabilization; infinite-horizon model predictive controller; infinite-horizon optimal controller; necessary and sufficient conditions; output feedback; Actuators; Chemical engineering; Control design; Control systems; Controllability; Design optimization; Eigenvalues and eigenfunctions; Hydraulic actuators; Linear feedback control systems; Linear systems; Optimal control; Output feedback; Power system modeling; Predictive models;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1992., Proceedings of the 31st IEEE Conference on

Conference_Location

Tucson, AZ

Print_ISBN

0-7803-0872-7

Type

conf

DOI

10.1109/CDC.1992.371341

Filename

371341