Title :
Analysis of nonlinear-nonquadratic discrete-time systems with ℒ2 and ℒ∞ disturbances
Author :
Haddad, Wasssim M. ; Chellaboina, VijaySekhar ; Wu, Weikun
Author_Institution :
Sch. of Aerosp. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
Abstract :
A unified optimality-based framework is developed to address the problem of nonlinear-nonquadratic discrete time systems with bounded exogeneous disturbances. Specifically, a nonlinear discrete time system with bounded input disturbances and a nonlinear nonquadratic performance functional evaluated over the infinite horizon is considered. The performance functional is then evaluated in terms of a Lyapunov function to guarantee stability and dissipativity with respect to general supply rates
Keywords :
Lyapunov methods; control system analysis; discrete time systems; functional equations; nonlinear control systems; Lyapunov function; bounded exogeneous disturbances; dissipativity; infinite horizon; nonlinear nonquadratic performance functional; nonlinear-nonquadratic discrete-time systems; unified optimality-based framework; Control systems; Hydrogen; Infinite horizon; Linear systems; Lyapunov method; Nonlinear control systems; Nonlinear equations; Optimal control; Stability; Steady-state;
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.1998.758554
