Abstract:
In this paper, we develop a unified framework to solve the two-players zero-sum differential game problem over the infinite time horizon. Asymptotic stability of the clos...View moreMetadata
Abstract:
In this paper, we develop a unified framework to solve the two-players zero-sum differential game problem over the infinite time horizon. Asymptotic stability of the closed-loop nonlinear system is guaranteed by means of a Lyapunov function that can clearly be seen to be the solution to the steady-state form of the Hamilton-Jacobi-Isaacs equation, and hence, guaranteeing both asymptotic stability and the existence of a saddle point for the system's performance measure. The overall framework provides the foundation for extending optimal linear-quadratic controller synthesis to differential games involving nonlinear dynamical systems with nonlinear-nonquadratic performance measures. Connections to optimal linear and nonlinear regulation for linear and nonlinear dynamical systems with quadratic and nonlinear-nonquadratic cost functionals in the presence of exogenous disturbances are also provided.
Published in: 2016 IEEE 55th Conference on Decision and Control (CDC)
Date of Conference: 12-14 December 2016
Date Added to IEEE Xplore: 29 December 2016
ISBN Information: