Title :
Rejection of Bounded Disturbances via Invariant Ellipsoids Technique
Author :
Polyak, Boris T. ; Nazin, Alexander V. ; Topunov, Michael V. ; Nazin, Sergey A.
Author_Institution :
Inst. of Control Sci., Russian Acad. of Sci., Moscow
Abstract :
In this paper an approach based on invariant ellipsoids is applied to the problem of persistent disturbance rejection by means of static state-feedback control. Dynamic system is supposed to be linear time-invariant and affected by unknown-but-bounded exogenous disturbances. Synthesis of an optimal controller that returns a minimum of the size of the corresponding invariant ellipsoid is reduced to one-dimensional convex minimization with LMI constraints. The problem is considered in continuous and discrete time cases
Keywords :
linear matrix inequalities; optimal control; state feedback; 1D convex minimization; LMI constraints; bounded disturbances; dynamic system; invariant ellipsoids; linear time-invariant; optimal controller; persistent disturbance rejection; static state-feedback control; unknown-but-bounded exogenous disturbances; Control system synthesis; Control theory; Dynamic programming; Ellipsoids; Feedback control; Optimal control; Size control; Stochastic processes; USA Councils; Upper bound;
Conference_Titel :
Decision and Control, 2006 45th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
1-4244-0171-2
DOI :
10.1109/CDC.2006.377785
