A constructive method for feedback stabilization of affine control systems with input and state constraints

Author

Kamenetskiy, Vladimir A.

Author_Institution

Inst. of Control Sci., Acad. of Sci., Moscow, Russia

Volume

2

fYear

1997

fDate

27-29 Aug 1997

Firstpage

296

Abstract

The problem of synthesis of a constrained feedback stabilizing control is considered for a nonlinear system affine in scalar control. The basic idea is that the resulting closed-loop system has the possibly largest region of attraction of the equilibrium entirely embedded to a domain assigned by state constraints. Unlike well-known approaches based on the methods of optimal control or dynamical programming, the method proposed does not involve an optimization of any cost functional

Keywords

Lyapunov methods; closed loop systems; control system synthesis; differential equations; feedback; linear differential equations; nonlinear control systems; set theory; stability; affine control systems; closed-loop system; constrained feedback stabilizing control; constructive method; feedback stabilization; input constraints; nonlinear system; region of attraction; scalar control; state constraints; Control system synthesis; Control systems; Dynamic programming; Functional programming; Lyapunov method; Nonlinear control systems; Nonlinear systems; Optimal control; Stability; State feedback;

fLanguage

English

Publisher

ieee

Conference_Titel

Control of Oscillations and Chaos, 1997. Proceedings., 1997 1st International Conference

Conference_Location

St. Petersburg

Print_ISBN

0-7803-4247-X

Type

conf

DOI

10.1109/COC.1997.631347

Filename

631347