Optimal Control with Stabilization for A Class of Hybrid Dynamical Systems
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.
Optimal control HDS global asymptotic stability (GAS) hybrid performance functional (HPF).
Bin Liu David J. Hill Chunxia Dou
Research School of Engineering, The Australian National University, ACT 0200, Australia. School of Electrical and Information Engineering, The University of Sydney, NSW 2006, Australia. School of Electrical and Information Engineering, Yanshan University, Hebei, China.
国际会议
The 24th Chinese Control and Decision Conference (第24届中国控制与决策学术年会 2012 CCDC)
太原
英文
614-619
2012-05-23（万方平台首次上网日期，不代表论文的发表时间）