Switched Optimal Control for Linear Systems with Parametric Variations

Authors

  • Salman Zaffar HOD Electrical Engineering, DHA Suffa University

Abstract

This paper proposes a robust control methodology for dynamical systems with parametric variations. This methodology uses optimal control techniques to propose a controller that guarantees asymptotic stability of such systems. Parametric variations beyond a safe-operation range can cause physical damage to the plant/system. An algorithmic way of determining boundaries of safe-operation with respect to parametric variations is presented. This algorithm proposes a variation-dependent hypersurface that serves as a gain-scheduling criterion for the controller outside the safe-operation range. Bellman’s Dynamic Programming is used to construct this algorithm for general dynamical systems. The proposed methodology is applied on an LTI system to show the efficacy of the proposition.

Published

2023-02-21
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