Output Feedback Control of Markovian Jump Repeated Scalar Nonlinear Systems

• Published in: IEEE transactions on automatic control Vol. 59; no. 1; pp. 199 - 204
• Main Authors: Wu, Ligang, Su, Xiaojie, Shi, Peng
• Format: Journal Article
• Language: English
• Published: IEEE 01.01.2014
• Subjects: Diagonally dominant matrix; dynamic output feedback controller; induced ell _{2} performance; Markovian jump linear systems; repeated scalar nonlinearity
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/TAC.2013.2267353

This paper is concerned with the induced ℓ 2 dynamic output feedback controller (DOFC) design problem for discrete-time Markovian jump repeated scalar nonlinear systems. By employing both the switching-sequence dependent Lyapunov function approach and the positive definite diagonally dominant Lyapunov function technique, a sufficient condition is first established, which guarantees the underlying system to be stochastically stable with an induced ℓ 2 disturbance attenuation performance. Then the desired full- or reduced-order DOFCs are designed by using projection approach. Cone complementarity linearization procedure is employed to cast the nonconvex feasibility problem into a sequential minimization problem. Finally, a numerical example is presented to show the effectiveness of the proposed methods.