Improved Adaptive Hinf Controller Synthesis of Piecewise Affine Systems with Application to Flight Control


Liu Kai;Wenxue She;Jianhong Zhang;Zhiyong She;


This paper considers the adaptive Hinf control problem for piecewise affine systems(PWS),a novel synthesis framework is presented based on piecewise quadratic Lyapunov function instead of common quadratic Lyapunov function(PQLF) to achieve the less conservatism.First,by designing the projection-type piecewise adaptive law,the problem of the adaptive control of PWS can be reduced to the Hinf control problem of augmented piecewise systems.Then,we construct the piecewise affine control law for augmented piecewise systems in such a way that the piecewise quadratic Lyapunov function can be employed to establish the stability and Hinf performance.Particularly,the Reciprocal Projection Lemma is employed to formulate the synthesis condition as Linear Matrix Inequities,which enables the proposed PQLF approach is numerically solvable.Finally,the proposed approach is applied to the control synthesis of mini helicopter to illustrate the efficacy and advantage.


Piecewise-linear systems;;adaptive H_∞ control;;Piecewise quadratic Lyapunov function;;LMIs


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Total: 19 articles

  • [1] Jianxiong ZHANG, Wansheng TANG (Institute of Systems Engineering, Tianjin University, Tianjin 300072, China), Output feedback controller design for uncertain piecewise linear systems, Journal of Control Theory and Applications,
  • [2] JIANG Yuan 1,LIU ShuTang 2 & WANG RuLiang 3 1 School of Information Engineering,Nanchang Hangkong University,Nanchang 330063,China;2 School of Control Science and Engineering,Shandong University,Jinan 250061,China;3 School of Computer and Information Engineering,Guangxi Teachers Education University,Nanning 530001,China, Rejection of nonharmonic disturbances for a class of uncertain nonlinear systems with nonlinear exosystems, Science China(Information Sciences),
  • [3] XIE XueJun;ZHAO CongRan;DUAN Na;Institute of Automation,Qufu Normal University;School of Electrical Engineering & Automation,Jiangsu Normal University;, Further results on state feedback stabilization of stochastic high-order nonlinear systems, Science China(Information Sciences),
  • [4] Behzad Samadi;;Luis Rodrigues, A duality-based convex optimization approach to L 2 -gain control of piecewise affine slab differential inclusions, Automatica,


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