Abstract
The theory and application of the optimal control of linear systems to stabilize or improve the system stability is well known (Anderson and Moore, 1971). For an optimal linear regulator design, the arbitrariness involved in the parameters of the cost function always affects the final control law and the closed-loop system poles which decide the system dynamic characteristics. A new approach, ‘The inverse problem approach’ (Yang et al., 1984), has been developed to overcome this difficulty. The system so designed will have preassigned closed-loop poles and the resulting closed-loop system performance can be ensured. In this paper, the inverse problem approach for optimal regulator design is applied to the power system stabilizer (PSS) design for single-machine infinite-bus systems. The results show that, as far as the linearized model is concerned, systems designed by the inverse problem approach have better closed-loop performance than those designed by the classical PSS design approach and a simple way of using a lead-lag compensator plus a PI regulator to realize the optimal state feedback control law is also presented.
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