The stability analysis for nonlinear differentialalgebraic systems is addressed using tools from classical control theory. Sufficient stability conditions relying on matrix inequalities are established via Lyapunov Di...The stability analysis for nonlinear differentialalgebraic systems is addressed using tools from classical control theory. Sufficient stability conditions relying on matrix inequalities are established via Lyapunov Direct Method. In addition, a novel interpretation of differential-algebraic systems as feedback interconnection of a purely differential system and an algebraic system allows reducing the stability analysis to a smallgain-like condition. The study of stability properties for constrained mechanical systems, for a class of Lipschitz differential-algebraic systems and for an academic example is used to illustrate the theory.展开更多
The attitude regulation problem with bounded control for a class of satellites in the presence of large disturbances,with bounded moving average,is solved using a Lyapunov-like design.The analysis and design approache...The attitude regulation problem with bounded control for a class of satellites in the presence of large disturbances,with bounded moving average,is solved using a Lyapunov-like design.The analysis and design approaches are introduced in the case in which the underlying system is an integrator and are then applied to the satellite attitude regulation problem.The performance of the resulting closed-loop systems are studied in detail and it is shown that trajectories are ultimately bounded despite the effect of the persistent disturbance.Simulation results on a model of a small satellite subject to large,but bounded in moving average,disturbances are presented.展开更多
Dynamic optimisation,with a particular focus on optimal control and nonzero-sum differential games,is considered.For nonlinear systems solutions sought via the dynamic programming strategy are inevitably characterised...Dynamic optimisation,with a particular focus on optimal control and nonzero-sum differential games,is considered.For nonlinear systems solutions sought via the dynamic programming strategy are inevitably characterised by partial differential equations(PDEs)which are often difficult to solve.A detailed overview of a control design framework which enables the systematic construction of approximate solutions for optimal control problems and differential games without requiring the explicit solution of any PDE is provided along with a novel design of a nonlinear control gain aimed at improving the‘level of approximation’achieved.Multi-agent systems are considered as a possible application of the theory.展开更多
文摘The stability analysis for nonlinear differentialalgebraic systems is addressed using tools from classical control theory. Sufficient stability conditions relying on matrix inequalities are established via Lyapunov Direct Method. In addition, a novel interpretation of differential-algebraic systems as feedback interconnection of a purely differential system and an algebraic system allows reducing the stability analysis to a smallgain-like condition. The study of stability properties for constrained mechanical systems, for a class of Lipschitz differential-algebraic systems and for an academic example is used to illustrate the theory.
基金supported in part by the China Scholarship Council (201906120101)in part by the European Union’s Horizon 2020 Research and Innovation Program (739551)(KIOS Centre of Excellence)+3 种基金in part by the Italian Ministry for Research in the framework of the 2017Program for Research Projects of National Interest (PRIN)(2017YKXYXJ)in part by the Science Center Program of National Natural Science Foundation of China (62188101)in part by the National Natural Science Foundation of China (61833009, 61690212)in part by Heilongjiang Touyan Team
文摘The attitude regulation problem with bounded control for a class of satellites in the presence of large disturbances,with bounded moving average,is solved using a Lyapunov-like design.The analysis and design approaches are introduced in the case in which the underlying system is an integrator and are then applied to the satellite attitude regulation problem.The performance of the resulting closed-loop systems are studied in detail and it is shown that trajectories are ultimately bounded despite the effect of the persistent disturbance.Simulation results on a model of a small satellite subject to large,but bounded in moving average,disturbances are presented.
基金The work of A.Astolfi has been partially supported by the European Union’s Horizon 2020 research and innovation programme under grant agreement No 739551(KIOS CoE).
文摘Dynamic optimisation,with a particular focus on optimal control and nonzero-sum differential games,is considered.For nonlinear systems solutions sought via the dynamic programming strategy are inevitably characterised by partial differential equations(PDEs)which are often difficult to solve.A detailed overview of a control design framework which enables the systematic construction of approximate solutions for optimal control problems and differential games without requiring the explicit solution of any PDE is provided along with a novel design of a nonlinear control gain aimed at improving the‘level of approximation’achieved.Multi-agent systems are considered as a possible application of the theory.
