An indirect model reference adaptive control algorithm based on multidetected-output controllers.

*(English)*Zbl 0867.93048The model reference adaptive control problem for linear time-invariant systems is treated using an approach based on the design of multidetected-output controllers (MDOC’s) which can be considered as a special case of multirate-output controllers proposed to realize equivalently a stable state feedback controller in the case where the state vector cannot be available for feedback.

The technique presented in the paper in order to solve the discrete model reference adaptive control problem of continuous-time linear single-input, single-output time-invariant systems, is based on an indirect adaptive control scheme. From the theoretical point of view, the model reference adaptive control problem is reduced to the determination of a fictitious static state feedback controller, due to merits of multidetected-output controllers. Further, the proposed technique does not rely on pole-zero cancellation and is readily applicable to nonstably invertible plants and to reference models with arbitrary poles, zeros, and relative degree. Persistence of excitation of the plant under control is provided without making any special assumption on the reference signal, except for boundedness. From the computational point of view, the controller determination reduces to the simple problem of solving a linear algebraic system of equations instead of the usually required solution of matrix polynomial diophantine equations.

The technique presented in the paper in order to solve the discrete model reference adaptive control problem of continuous-time linear single-input, single-output time-invariant systems, is based on an indirect adaptive control scheme. From the theoretical point of view, the model reference adaptive control problem is reduced to the determination of a fictitious static state feedback controller, due to merits of multidetected-output controllers. Further, the proposed technique does not rely on pole-zero cancellation and is readily applicable to nonstably invertible plants and to reference models with arbitrary poles, zeros, and relative degree. Persistence of excitation of the plant under control is provided without making any special assumption on the reference signal, except for boundedness. From the computational point of view, the controller determination reduces to the simple problem of solving a linear algebraic system of equations instead of the usually required solution of matrix polynomial diophantine equations.

Reviewer: S.Rogovchenko