Abstract
The problem of control system design is stated with explicit uncertainty bounds for physical parameters in the plant model and performance bounds as design objectives. A finite number of typical plant parameter values is used to define a multi-model problem. Two design methods for fixed-gain controllers for this problem are reviewed: i) the simultaneous assignment of the poles to a given region for all members of the plant family by parameter space methods, ii) the interactive Pareto-optimization of a vectorial performance index. The controller for the representative family of plant models may then be tested for continuous intervals of the parameter uncertainties. Only few results are available on stability of interval polynomials and matrices. Also the problem of a systematic choice of a feasible controller structure has not yet been solved. The interactive multi-model approaches will particularly profit from the progress in computer graphics.
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Ackermann, J. (1985). Multi-model approaches to robust control system design. In: Ackermann, J. (eds) Uncertainty and Control. Lecture Notes in Control and Information Sciences, vol 70. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0007282
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DOI: https://doi.org/10.1007/BFb0007282
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