Titlebook: Uncertain Optimal Control; Yuanguo Zhu Book 2019 Springer Nature Singapore Pte Ltd. 2019 Cybernetics.Operations Research.Optimization.Arti

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Basics on Uncertainty Theory,For modeling indeterminacy, there exist many ways. Roughly speaking, there are two representative theories: one is probability theory and the other is uncertainty theory (Liu in Uncertainty theory. Springer, Berlin, 2007 [.]). Probability is interpreted as frequency, while uncertainty is interpreted as personal belief degree.

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Interlocking

,Bang–Bang Control for Uncertain Systems,If the optimal control of a problem takes the maximum value or minimum value in its admissible field, the problem is called bang–bang control problem.

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Optimal Control for Time-Delay Uncertain Systems,Assume that an uncertain process . . takes values in a closed set ., which describes the state of a system at time . that started at time .. Here, . describes a constant delay inherent to the system.

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Parametric Optimal Control for Uncertain Systems,rential equation. However, the corresponding Riccati differential equation cannot be solved analytically in many cases. Even if an analytic solution can be obtained, it might be a complex time-oriented function. Then the optimal control is often difficult to be implemented and costly in industrial production.

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978-981-13-4737-5Springer Nature Singapore Pte Ltd. 2019

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Uncertain Optimal Control978-981-13-2134-4Series ISSN 2199-3807 Series E-ISSN 2199-3815