Title :
Computing output feedback controllers to enlarge the domain of attraction in polynomial systems
Author_Institution :
Dept. of Inf. Eng., Univ. of Siena, Italy
Abstract :
The problem of computing controllers to enlarge the domain of attraction (DA) of equilibrium points of polynomial systems is considered. In order to deal with such a problem, a technique for computing static nonlinear output feedback controllers, which maximize the largest estimate of the DA (LEDA) induced by a given polynomial Lyapunov function, is proposed. The main contribution of the note is to show that a lower bound of the maximum achievable LEDA and a corresponding controller can be obtained through linear matrix inequality optimizations. Moreover, a necessary condition for tightness of this lower bound is presented, which is also a sufficient condition to establish the tightness of the lower bound of the LEDA for a given controller.
Keywords :
Lyapunov methods; control system synthesis; feedback; linear matrix inequalities; nonlinear control systems; polynomials; Lyapunov functions; controller synthesis; domain of attraction; linear matrix inequality optimization; nonlinear control; output feedback controller; polynomial systems; Control system synthesis; Control systems; Instruction sets; Linear matrix inequalities; Lyapunov method; Output feedback; Polynomials; Shape; Stability; Sufficient conditions; Controller synthesis; LMI; Lyapunov function; domain of attraction; linear mattrix ineqaulity; polynomial systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2004.835589