Showing papers by "Hassen T. Dorrah published in 2017"

Derivation of symbolic-based embedded feedback control stabilization expressions with experimentation

Abstract: This paper presents a new generic approach for the derivation and implementation of feedback gains of automatic control systems using symbolic-based representation of feedback stabilization functions. The derivation part is based on the exact mathematical symbolic-based formulation of the control problem, where feedback gains are derived in a symbolic form function of system symbolic parameters and assisted by appropriate symbolic-based programming. On the other hand, the symbolic feedback functions realization is implemented using embedded symbolic-based configuration using functional programming. The proof of concept of the suggested approach is successfully demonstrated thru the derivation and implementation of symbolic-based feedback stabilization of a case study of forth-order inverted pendulum problem. Finally, the results of experimentations of the case study are depicted comprising executing embedded symbolic-based functions using micro-controller/Proteus simulation program configuration equipped with functional programming facility for feedback gains expressions executions.

New techniques for construction of consolidity regions with applications to DC motors control

Abstract: This paper proposes two mathematical methods for constructing the minimum area consolidity region (chart) under the condition of passing the major axis of ellipse through origin. The physical significance of the consolidity chart is that it marks the boundary of all system interactive behavior resulting from all exhaustive fuzzy internal and external influences. The shape and size of each consolidity geometric region determine how the feature of system susceptibility to change. Approximated results for drawing the consolidity region were obtained earlier as found in literature because it was done by a heuristic method that depends on sense rather than deterministic mathematical technique. The proposed techniques in this paper being dependent on mathematical and optimization rules, are proven to give exact reliable results as will be demonstrated in this paper. As an application, the proposed methods are applied to construct consolidity charts after consolidity analysis on designing controller gains via pole placement technique and consolidity analysis applied on DC motor. Consolidity analysis on designing controller gains via pole placement technique handles three cases of study. This analysis is proposed to be taken into consideration while designing new controllers and for the analysis of existing controllers in fuzzy environments. Finally, the paper is presenting a practical application, through the demonstration of consolidity analysis for the DC motor output position, its controllers, controllability and stability.