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Arbitrary adaptive pole placement for linear multivariable systems. (English) Zbl 0534.93026
The authors present a method for assigning all the closed-loop poles of a linear time-invariant multivariable system. The approach is applicable to the complete class of continuous-time multivariable systems characterized by proper transfer matrices. Required a priori information for implementation consists of only the system controllability indexes and an upper bound on the observability indexes. In the presentation, both the continuous-time and the discrete-time case are treated almost in parallel. At first, a fixed control strategy is formulated which can be interpreted as linear state feedback via asymptotic state estimation. Then the adaptive control strategy is developed, which may be implemented by a state space realization of order (dim. of input vector)$$\times$$(upper bound of the observability indexes). Local stability results are mentioned. In the last section, three instructive examples are treated in detail.
Reviewer: A.Munack

MSC:
 93B55 Pole and zero placement problems 93C05 Linear systems in control theory 93C35 Multivariable systems, multidimensional control systems 93C40 Adaptive control/observation systems 93C55 Discrete-time control/observation systems 93C99 Model systems in control theory
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