Title :
Persistency of excitation in possible unstable continuous-time systems, identification, and indirect adaptive control
Author :
NordstrÖm, Niklas
Author_Institution :
Dept. of Electr. Eng. & Comput Sci., California Univ., Berkeley, CA, USA
fDate :
2/1/1989 12:00:00 AM
Abstract :
The author proves persistency of excitation of the output of an output-reachable, possibly unstable linear system under certain input conditions, and applies this result to adaptive identification and indirect adaptive control. In adaptive identification, he proves exponential parameter convergence regardless of stability of the identified plant. In indirect adaptive control he proves exponential parameter convergence along with asymptotic time invariance and global experimental stability of the controlled closed-loop system
Keywords :
adaptive control; closed loop systems; convergence; identification; linear systems; stability; asymptotic time invariance; closed-loop system; continuous-time systems; exponential parameter convergence; global experimental stability; identification; indirect adaptive control; persistency of excitation; Adaptive control; Asymptotic stability; Automatic control; Continuous time systems; Control systems; Convergence; Parameter estimation; Polynomials; Programmable control; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on