## We develop an adaptive control technique for the regulation of a class of linear, discrete-time, time-varying system. The only a priori knowledge required is a bound of the varying component of the parameters. The result is concerned with global behaviour.
Unconditional stabilization of linear discrete systems via adaptive control
β Scribed by Ph. de Larminat
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 350 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0167-6911
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β¦ Synopsis
This paper deals with the conditions of overall deterministic stability of the adaptive control schemes winch may be obtained by associating any usual identification and control methods (e.g. Recursive Minimum Square, Stochastic Approximation, Extended KaJman Filter, for Identification; Model Reference, Pole Placement, Quadratic Optimization, for Control). The deterministic and time invariance hypotheses are introduced here only for the analysis of the above schemes, but not for their synthesis.
There are no assumptions of sufficiently exciting input, or any requirement for parameter convergence, nor an hypothesis of bounded input and output signals.
π SIMILAR VOLUMES
A natural adaptive linear quadratic regulator is studied. The optimal control is shown to be the best estimate, given the observation, of the linear quadratic control computed assuming that the true parameter were known. Moreover this optimal control is stabilizing. The new ingredient that makes th
ln this note a method is presented for doing discrete time adaptive control of a nonlinear system which is given by a cascade connection ofa preload nonlinearity followed by a linear system. It is shown that the algorithm will ensure that the closed loop system is globally convergent with a specific