Optimal control of nonlinear aeroelastic system with non-semi-simple eigenvalues at Hopf bifurcation points

doi:10.1002/oca.2617

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	Optimal control of nonlinear aeroelastic system with non-semi-simple eigenvalues at Hopf bifurcation points
	L. C. Wang,Y. D. Chen,C. Y. Pei,L. N. Liu and S. H. Chen
刊名	Optimal Control Applications & Methods
	2020
卷号	41 期号:5 页码:1524-1542
ISSN号	0143-2087
DOI	10.1002/oca.2617
英文摘要	This study discusses an efficient method of the Hopf bifurcation control for nonlinear aeroelastic system. The nonlinear aeroelastic system whose linear part has multiple non-semi-simple eigenvalues at critical point gives rise to Hopf bifurcations. The method of the multiple scales and the well-known linear quadratic regulator method are used to deal with the optimal control of the nonlinear system at Hopf bifurcation points. The modal optimal control equation and modal Riccati equation of the nonlinear system are developed to simplify the computations. The conventional Potter's algorithm is extended to solve modal Riccati equation for the modal Riccati matrix of the Hopf bifurcation control. The first-order approximation solutions are developed, which include the gain vectors and inputs. By the way of optimal control, the admissible control input and trajectory of the linear part of the nonlinear aeroelastic system are obtained to minimize the performance measure. Then, we set the appropriate first-order gain vector to adjust the convergence speed of this nonlinear system.
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语种	英语
内容类型	期刊论文
源URL	[http://ir.ciomp.ac.cn/handle/181722/64760]
专题	中国科学院长春光学精密机械与物理研究所
推荐引用方式 GB/T 7714	L. C. Wang,Y. D. Chen,C. Y. Pei,L. N. Liu and S. H. Chen. Optimal control of nonlinear aeroelastic system with non-semi-simple eigenvalues at Hopf bifurcation points[J]. Optimal Control Applications & Methods,2020,41(5):1524-1542.
APA	L. C. Wang,Y. D. Chen,C. Y. Pei,L. N. Liu and S. H. Chen.(2020).Optimal control of nonlinear aeroelastic system with non-semi-simple eigenvalues at Hopf bifurcation points.Optimal Control Applications & Methods,41(5),1524-1542.
MLA	L. C. Wang,Y. D. Chen,C. Y. Pei,L. N. Liu and S. H. Chen."Optimal control of nonlinear aeroelastic system with non-semi-simple eigenvalues at Hopf bifurcation points".Optimal Control Applications & Methods 41.5(2020):1524-1542.