Disturbance Attenuation in Control Systems
Copyright policy )Disturbance Attenuation in Control Systems
The paper deals with standard mathematical models for nonlinear affine control systems with two (vector-valued) inputs u (=control) and w (unknown except for a bound for the sup-norm). Interpretation of this scenario and its wide range of applications (in control and differential game theory): See the introduction. The main result of the paper is the presentation of a dissipation equality which seems to be new and which is the result of a special control strategy (discretized state feedback, see the introduction). Combination with Lyapunov techniques leads to a concrete proposal for stabilizing disturbed control system. The mathematical background — which is worked out in detail — amounts to an explicit integration of the Hamilton-Jacobi partial differential equation via the method of characteristics.
- University of Würzburg Germany
Dynamic programming in optimal control and differential games, Stabilization, identification, adaption of nonlinear control systems, uncertain dynamics, multi-person differential games, Hamilton-Jacobi partial differential equation, adaption of nonlinear control systems, stabilization, Lyapunov and storage functions, uncertain dynamics, identification, Stabilization of systems by feedback, multi-person differential games, Differential games (aspects of game theory), Hamilton-Jacobi partial differential equation, jel: jel:M2, jel: jel:C0, jel: jel:D5, jel: jel:B4, jel: jel:C6, jel: jel:D7, jel: jel:C7
Dynamic programming in optimal control and differential games, Stabilization, identification, adaption of nonlinear control systems, uncertain dynamics, multi-person differential games, Hamilton-Jacobi partial differential equation, adaption of nonlinear control systems, stabilization, Lyapunov and storage functions, uncertain dynamics, identification, Stabilization of systems by feedback, multi-person differential games, Differential games (aspects of game theory), Hamilton-Jacobi partial differential equation, jel: jel:M2, jel: jel:C0, jel: jel:D5, jel: jel:B4, jel: jel:C6, jel: jel:D7, jel: jel:C7
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