It is possible to construct [L.sub.2] gain if a Hamilton-Jacobi-Isaacs (HJI) equation can be solved 6]. Aliyu, "An approach for solving the Hamilton-Jacobi-Isaacs equation (HJIE) in nonlinear [H.sub.[infinity]] control," Automatica, vol. Transformation of CLF to ISS-CLF for nonlinea...
Hamilton-Jacobi-Isaacs for- mulation for constrained input systems: neural network solution. F.L.Lewis,M.Abu-Khalaf,J.Huang. Proceedings of 2nd IFAC Symposium on System,Structure and Control . 2004F.L.Lewis,M.Abu-Khalaf,J.Huang.Hamilton-Jacobi-Isaacs for- mulation for constrained input systems...
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 ...
引入Hamilton函数并基于最优控制理论,得到非线性H∞制导律.该方法利用 Lyapunov稳定性理论严格证明了制导系统的全局渐近稳定性,且无需求解Hamilton-Jacobi-Issacs(HJI)... 凡国龙,梁晓庚 - 《航空兵器》 被引量: 3发表: 2014年 SINS/GPS制导炸弹鲁棒控制方法研究 鲁棒制导律,该制导律以控制视线角稳定为目标,不要...
In this paper we extend to completely general nonlinear systems the result stating that the 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 systems, using the Riccati ...
Representation Formulas for Solutions of the HJI Equations with Discontinuous Coefficients and Existence of Value in Differential Games In this paper, we study the Hamilton-Jacobi-Isaacs equation of zerosum differential games with discontinuous running cost. For such class of equations, the... M Garav...
The algorithm is based on a proof that the reachable set is the zero sublevel set of the viscosity solution of a particular time-dependent Hamilton-Jacobi-Isaacs partial differential equation (HJI PDE). We implement this approach to a more realistic aircraft dynamic model which the control input...
P. Soravia: Equivalence between nonlinear H∞ control problems and existence of viscosity solutions of Hamilton-Jacobi-Isaacs equations, Appl. Math. Optim. 39 (1999), no. 1, 17- 32.P. Soravia, Equivalence between nonlinear H∞ control problems and existence of viscosity solutions of Hamilton-...
The method is easily extended to the Hamilton-Jacobi-Isaacs (HJI) PDE. Software is available on the web to compute local approximtate solutions of HJB and HJI PDEs. [References: 23]Krener AJ.SIAM Journal on Control and OptimizationA. J. Krener. The local solvability of a hamilton-jacobi...
Keywords: microgrids; fault-tolerant control (FTC); current/potential transformer (C.T/P.T); sliding mode observers (SMO); H∞ and H- parameters; Hamilton–Jacobi–Isaacs/Bellman-Equation (HJIE or HJBE); Lyapunov stability; fault diagnosis/estimation; game theory1...