DocumentCode :
3559278
Title :
Control of Systems With Uncertain Initial Conditions
Author :
Farhood, Mazen ; Dullerud, Geir E.
Author_Institution :
Dept. of Aerosp. & Ocean Eng., Virginia Polytech. Inst. & State Univ., Blacksburg, VA
Volume :
53
Issue :
11
fYear :
2008
Firstpage :
2646
Lastpage :
2651
Abstract :
This note deals with the control of linear discrete-time systems with uncertain initial conditions. Specifically, we consider the problem where the initial condition is known to reside in a norm ball of some radius, and the input disturbance is constrained to satisfy an independent norm condition. The paper focuses on eventually periodic systems; these include both finite horizon and periodic systems as special cases. The main theorem provides exact synthesis conditions for the existence of eventually periodic controllers which both stabilize and provide performance in closed-loop control systems. These conditions are given in terms of a finite-dimensional semidefinite programming problem. We also give a version of the main result for the special case of linear time-invariant systems with uncertain initial states, and conclude with an illustrative example.
Keywords :
closed loop systems; control system synthesis; discrete time systems; linear systems; uncertain systems; closed-loop control systems; exact synthesis conditions; finite-dimensional semidefinite programming problem; linear discrete-time systems; linear time-invariant systems; periodic controllers; uncertain initial conditions; Control system synthesis; Control systems; Linear matrix inequalities; Nonlinear control systems; Nonlinear systems; Orbits; Stability; Switches; Time varying systems; Trajectory; Eventually periodic systems; linear matrix inequalities (LMIs); orbits; time-varying systems; uncertain initial conditions;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.2008.2007516
Filename :
4700858
Link To Document :
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