Second, the corresponding constrained Hamilton-Jacobi-Isaacs (HJI) equation is formulated, and then the quasi L 2 -gain analysis of the nonlinear system is employed. Third, an iterative algorithm based on the game theoretic interpretation of the generalized HJI (GHJI) equation by using neural ...
In this paper we extend to completely general nonlinear systems the result stating that the $ {{\cal H}}_\infty $ suboptimal control problem is solved if and only if the corresponding Hamilton—Jacobi—Isaacs (HJI) equation has a nonnegative (super)solution. This is well known for linear ...
An iterative computationally efficient solution technique based on the game theoretic interpretation of the HJI equation is presented. The relation between attenuation gain and the region of asymptotic stability of the H∞ controller is discussed from the game theoretic perspective. The solution is ...
To do this, we solve a double-obstacle HJI VI which allows us to obtain the reach-avoid set, defined as the set of states from which a vehicle can reach its target while staying within a time-varying state constraint set. From the solution of the double-obstacle HJI VI, we can also ...
This is well known for linear systems, using the Riccati equation instead of the HJI equation. We do this using the theory of differential games and viscosity solutions.SoraviaP.EBSCO_AspApplied Mathematics & OptimizationP. Soravia: Equivalence between nonlinear H∞ control problems and existence ...