Title :
Simultaneous Quadratic Stabilization for Discrete-Time Nonlinear Systems
Author_Institution :
Electr. Eng. Dept., Nat. Taiwan Ocean Univ., Keelung, Taiwan
fDate :
6/1/2010 12:00:00 AM
Abstract :
A constructive method is developed for designing simultaneously quadratically stabilizing state feedback controllers for a collection of single-input discrete-time nonlinear systems. In the context of quadratic control Lyapunov functions a necessary and sufficient condition for the existence of simultaneously quadratically stabilizing state feedback laws is derived. An explicit formula for constructing continuous simultaneously stabilizing controllers is presented. The obtained results are verified by a numerical example.
Keywords :
Lyapunov methods; control system synthesis; discrete time systems; nonlinear control systems; numerical analysis; stability; state feedback; quadratic control Lyapunov functions; simultaneous quadratic stabilization; single-input discrete-time nonlinear systems; state feedback controllers; Control systems; Design methodology; Indium tin oxide; Linear systems; Lyapunov method; Nonlinear control systems; Nonlinear systems; Quantum cascade lasers; State feedback; Sufficient conditions; Uncertainty; Control Lyapunov functions (CLFs); discrete-time systems; nonlinear systems; simultaneous stabilization;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2010.2044279
