NDLI: Model predictive control of linear periodic systems - a unified framework including control of multirate and multiplexed systems

Content Provider	IEEE Xplore Digital Library
Author	Gondhalekar, R. Jones, C.N.
Copyright Year	2009
Description	Author affiliation: Frontier Research Base for Global Young Researchers and Department of Mechanical Engineering, Osaka University, Japan (Gondhalekar, R.) \|\| Automatic Control Laboratory, Department of Electrical Engineering, Swiss Federal Institute of Technology in Zurich (ETHZ), Switzerland (Jones, C.N.)
Abstract	State-feedback model predictive control (MPC) of discrete-time linear periodic systems with possibly time-dependent state and control input dimension is considered. States and inputs are subject to hard, mixed, polytopic constraints. It is described how discrete-time linear systems, both time-invariant and periodic, with multirate or multiplexed control inputs can be modeled as such periodic systems. This makes linear periodic systems with possibly time-dependent dimensions a unified, coherent and succinct state-space modeling framework for a large variety of control problem for linear plants, periodic or non. In this paper it is shown how important theoretical results for state-feedback MPC of constrained linear time-invariant (LTI) systems are conceptually equivalent to what is required for linear periodic systems. Specifically the determination of (maximum) periodic controlled and positively invariant sets and the solution of reverse periodic discrete-time algebraic Riccati equations are considered indispensable. A general definition, and a method for the determination, of maximum periodic controlled and positively invariant sets are proposed here. Thus least-restrictive, strongly feasible MPC problems resulting in infinite-horizon optimal state-feedback control laws are designed. The proposed methods are applied to a multirate twin-actuator nano-positioning system.
Starting Page	6351
Ending Page	6358
File Size	748580
Page Count	8
File Format	PDF
ISBN	9781424438716
ISSN	01912216
DOI	10.1109/CDC.2009.5400284
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-12-15
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Predictive models Predictive control Riccati equations Constraint theory Educational technology Control system synthesis Timing Optimal control Stability Control systems Hard constraints Model predictive control Linear periodic systems Multirate systems Multiplexed systems
Content Type	Text
Resource Type	Article

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