Markov跳跃非线性系统逆最优增益设计.PDF

30 5 Vol. 30 No. 5 2013 5 Control Theory Applications May 2013 DOI: 10.7641/CTA.2013.20417 Markov , , ( , 230027) – : Markov . , – . , , Markov. , Markov , . – : Markov; ; : TP13 : A Inverse optimal gain assignment control for Markovian jump nonlinear systems WANG Chuan-rui , WANG Xing-hu, JI Hai-bo (Department of Automation, University of Science and Technology of China, Hefei Anhui 230027, China) Abstract: The concept of input-to-state stability in probability is introduced and an input-to-state stabilization protocol is proposed for a class of strict feedback Markovian jump nonlinear systems. It is shown that the existence of a group of input-to-state stable control Lyapunov function with small control is a sufficient condition for the solvability of the inverse optimal gain assignment problem. Finally, using backstepping method, we construct a smooth feedback control law for a class of strict feedback nonlinear systems. To deal with the coupling item caused by Markovian jump, the Lyapunov function and the controller are designed independently of the operation mode. Key words: Markovian jump nonlinear systems; inverse optimal; input-to-state stability in probability 1 (Introduction) , , Hamilton–Jacobi–Isaacs(HJI) Markov. , . , HJI, [7] , . , [8]Lyapunov Markov. Markov . Markov. Markov , , , , HJI. [7] Markov.