Proposed Strategy Set Research Articles

Sign‐indefinite static output feedback Nash strategy for mean‐field stochastic systems

AbstractWe study static output feedback (SOF) Nash strategies for mean‐field stochastic systems. The study assumes a linear‐quadratic form of the cost functional, but the sign of the weighting matrix is indefinite. Moreover, the worst‐case disturbances are assumed to be of unconventional SOF form leading to a saddle‐point equilibrium. First, after defining the problem for the single‐player case, the necessary conditions for the existence of saddle‐point equilibrium are established. Then, we consider Nash games for mean‐field stochastic systems. Note that the cost functional associated with the mean‐field term is assumed to be of SOF form. We establish the necessary conditions for the Nash equilibrium using the cross‐coupled stochastic algebraic matrix equations (CCSAME). A new decomposition algorithm is proposed to avoid the challenges of solving high‐dimensional CCSAMEs. We also apply weakly coupled systems theory to propose a decentralized approximated reduced‐order Nash strategy. The degree of cost degradation of the decentralized strategy compared with the centralized strategy is derived more accurately than existing results. Finally, we illustrate the usefulness and effectiveness of the proposed strategy set through numerical examples.

On Trajectory Homotopy to Explore and Penetrate Dynamically of Multi-UAV

This paper examines a trajectory homotopy optimization framework for multiple unmanned aerial vehicles (multi-UAV) to solve the problem of dynamic penetration mission planning (PMP) with hostile obstacles and perception constraints. Constrained problems are usually more challenging and difficult to solve with some practical constraints and requirements. To improve the efficiency of the solution for the penetration path, a novel variable-time mechanism has been constructed to adapt to the updated delay time of unknown target search (UTS) and dynamic trajectory planning (DTP) two stages. The occupancy grid maps are established by a Gaussian probability field (GPF) for predicting the positions of enemy UAVs. To fully consider the hostile obstacle constraint, a hybrid adaptive obstacle avoidance approach dynamic window PRM (DW-PRM) is designed to shorten the planned path. The penetration strategy algorithm (SG) is developed based on the proposed strategy set and decision tree. To improve the ability of dynamic obstacle avoidance, the multiple coupled penetration homotopy trajectory is addressed with a turning radius constraint. The simulation results indicated that the penetration homotopy framework for multi-constraints can solve the multi-UAV PMP problem.

H∞ Constraint Pareto Optimal Strategy for Stochastic LPV Systems

[Formula: see text] constraint Pareto optimal strategy for stochastic linear parameter varying (LPV) systems with multiple decision makers is investigated. The modified stochastic bounded real lemma and linear quadratic control (LQC) for the stochastic LPV systems are reformulated by means of linear matrix inequalities (LMIs). In order to decide the strategy set of multiple decision makers, Pareto optimal strategy is considered for each player and the [Formula: see text] constraint is imposed. The solvability conditions of the problem are established from cross-coupled matrix inequalities (CCMIs). The efficiency of the proposed strategy set is demonstrated using a numerical example.