Mechanical educational system for automatic area observation and firing control techniques

The article deals with the description and utilization of a biaxial mechanical educational system for familiarization of observation and weapons systems control techniques. Its application in education is divided into three sections. The first part deals with the model design and kinematic/dynamic analysis of the whole mechanical structure. A mathematical model is simplified into a form that still reflects the dynamics of the real system. The next part solves an influence of mechanical and regulation part, using a physical model for its simulation. Each degree of freedom can be separated and has its own simulation model. The last part applies measurement results from the real educational system which, besides adjusting a feedback control, also includes a possibility of mechanical system parameterization. These data are compared with simulation results. The similarity between the real system and the physical model is demonstrated in the final comparison. © 2019, Springer International Publishing AG, part of Springer Nature

Stabilizability and control co-design for discrete-time switched linear systems

International audienceIn this work we deal with the stabilizability property for discrete-time switched linear systems. First we provide a constructive necessary and sufficient condition for stabilizability based on set-theory and the characterization of a universal class of Lyapunov functions. Such a geometric condition is considered as the reference for comparing the computation-oriented sufficient conditions. The classical BMI conditions based on Lyapunov-Metzler inequalities are considered and extended. Novel LMI conditions for stabilizability, derived from the geometric ones, are presented that permit to combine generality with convexity. For the different conditions, the geometrical interpretations are provided and the induced stabilizing switching laws are given. The relations and the implications between the stabiliz-ability conditions are analyzed to infer and compare their conservatism and their complexity. The results are finally extended to the problem of the co-design of a control policy, composed by both the state feedback and the switching control law, for discrete-time switched linear systems. Constructive conditions are given in form of LMI that are necessary and sufficient for the stabilizability of systems which are periodic stabilizable

A TP-LPV-LMI Approach to Control of Tumor Growth

By using advanced control techniques to control physiological systems sophisticated control regimes can be realized. There are several challenges need to be solved in these approaches, however. Most of the time, the lack of information of the internal dynamics, the nonlinear behavior of the system to be controlled and the variabilities coming from that simple fact that people are different and their specifics vary in time makes the control design difficult. Nevertheless, the use of appropriate methodologies can facilitate to find solutions to them. In this study, our aim is to introduce different techniques and by combining them we show an effective way for control design with respect to physiological systems. Our solution stands on four pillars: transformation of the formulated model into control oriented model (COM) form; use the COM for linear parameter varying (LPV) kind modeling to handle unfavorable dynamics as linear dependencies; tensor product modeling (TPM) to downsize the computational costs both from modeling and control design viewpoint; and finally, using linear matrix inequalities (LMI) based controller design to satisfy predefined requirements. The occurring TP-LPV-LMI controller is able to enforce a given, nonlinear system to behave as a selected reference system. In this study, the detailed control solution is applied for tumor growth control to maintain the volume of the tumor