2017/05/23 by Mingwang Zhao, Zhao, Mingwang
Computer Science · Engineering · #Adaptive Control of Nonlinear Systems #Distributed Control Multi-Agent Systems #FOS: Electrical engineering #FOS: Mathematics #Guidance and Control Systems #Optimization and Control (math.OC) #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1705.08064
openalex publication_date 2017/05/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Several theorems on the volume computing of the polyhedron spanned by a n-dimensional vector set with the finite-interval parameters are presented and proved firstly, and then are used in the analysis of the controllable regions of the linear discrete time-invariant systems with saturated inputs. A new concept and continuous measure on the control ability, control efficiency of the input variables, and the diversity of the control laws, named as the controllable abundance, is proposed based on the volume computing of the regions and is applied to the actuator placing and configuring problems, the optimizing problems of dynamics and kinematics of the controlled plants, etc.. The numerical experiments show the effectiveness of the new concept and methods for investigating and optimizing the control ability and efficiency.