Necessary and sufficient conditions for an optimal controlled switching problem

Chudoung, Jerawan; Beck, Carl

doi:10.1109/acc.2002.1023908

Cited by 2 publications

(1 citation statement)

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“…In this paper, we study the optimal control with stabilization for the HDS proposed in [39][40] with respect to the hybrid performance functional (HPF). The optimization problem for switched systems and impulsive systems has been received considerable attention lately (see [22][23][24][25][26][27][28][29][30][31]) because in many practical problems optimality of an associated cost performance functional is very practically important to system. In this paper, by integrating our obtained stability results in [40] and optimization method in [22,27,30], we derive the optimal control with stabilization conditions for HDS with respect to the HPF.…”

Section: Introductionmentioning

confidence: 99%

Optimal control with stabilization for a class of hybrid dynamical systems

Liu

Hill

Dou

2012

2012 24th Chinese Control and Decision Conference (CCDC)

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This paper studies the optimal control with stabilization issue for a class of hybrid dynamical systems (HDS) with hybrid performance functional (HPF). By employing Lyapunov function method and the recent results of stability of HDS, the optimal control conditions for the HDS has been derived with respect to the HPF. Under the state feedback control, the closed-loop HDS is globally asymptotically stable (GAS) and at the same time the HPF can achieve the desirable maximal (minimal) value. The results are then used to study the case of linear HDS with hybrid quadratic performance functional (HQPF). The matrix inequality conditions are derived to design the linear feedback controller under which the closed-loop linear HDS is GAS and the HQPF is optimized. Finally, one example is given for illustration.

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