Optimal Control of Time-Delay Systems
Based on using BPFs or SLPs, two unified approaches to compute optimal control law of linear time-delay dynamic systems with quadratic performance index are discussed in this chapter. The governing delay-differential equations of dynamic systems are converted into linear algebraic equations by using the operational matrices of OFs (BPFs and SLPs). Thus, the problem of finding the optimal control law is reduced to the problem of solving algebraic equations obtained via the operational matrices.
First linear time-varying multi-delay dynamic systems are considered and presented as a unified approach to compute the optimal control law and the state variables. Then this algorithm is modified for time-invariant ...
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