Optimal Control of Singular Systems
In this chapter, two recursive algorithms are presented for computing the optimal control law of linear time-invariant singular systems with quadratic performance index by using the elegant properties of BPFs and SLPs. Also, a unified approach is given to solve the optimal control problem of singular systems via BPFs or SLPs. Two numerical examples are included to demonstrate the validity of the recursive algorithms and unified approach.
Singular systems have been of considerable importance as they are often encountered in many areas. Singular systems arise naturally in describing large-scale systems [53]; examples occur in power and interconnected systems. In general, an interconnection ...
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