Optimal aggregation of switched linear systems
Zhendong Sun · Control theory & applications · 2013
This paper investigates the stability and optimization problems for switched linear systems.An optimal conjugate gradient algorithm with Armijo steps is presented to search the optimal time instants under proper cost functions.To ensure that the optimal switching paths are contractive,a constrained expression of those cost functions is established.Some optimal pathwise state-feedback switching laws are designed to search the optimal switching paths of aggregated systems.The switching paths are sub-optimal switching paths of the original switched linear systems.Finally,an example is provided to demonstrate the switching strategies and optimal costs under different switching laws.