Title :
State-dependent LMI control of discrete-time nonlinear systems
Author :
Mohseni, J. ; Yaz, E. ; Olejniczak, K.
Author_Institution :
Dept. of Electr. Eng., Arkansas Univ., Fayetteville, AR, USA
Abstract :
The work contains several linear matrix inequality (LMI) formulations for various control design problems posed for discrete-time nonlinear systems given in state-space form. These formulations include important state feedback control design problems such as stabilization, placing a bound on the L2-L2 gain, a bound on the L2-L∞ gain, and rendering the system dissipative. Each problem is formulated using LMIs that need to be solved at each time step of the control horizon
Keywords :
discrete time systems; matrix algebra; nonlinear control systems; stability; state feedback; state-space methods; L2-L∞ gain; L2-L2 gain; discrete-time nonlinear systems; dissipative system; linear matrix inequality formulations; stabilization; state feedback control design problems; state-dependent LMI control; Control design; Control systems; Nonlinear control systems; Nonlinear equations; Nonlinear systems; Performance gain; Riccati equations; Sampling methods; Stability; State feedback;
Conference_Titel :
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location :
Tampa, FL
Print_ISBN :
0-7803-4394-8
DOI :
10.1109/CDC.1998.762060
