Abstract
This chapter presents various linear and nonlinear optimal control theories which can be used for power system control. A control scheme has been presented for the optimal control of a special case of linear time-invariant (LTI) systems in which both normal and exogenous inputs are present. The scheme is termed extended linear quadratic regulator (LQR), and it is shown to be significantly more cost-effective than other LQR schemes. The applicability of the scheme has been shown on a simple model LTI system. Nonlinear control theories which are used for power systems have also been briefly discussed, with the focus on normal form-based nonlinear control. Most important definitions and results of normal form-based control have been discussed.
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