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Modeling and Time-Optimal Control of an Experimental Hybrid Dynamic System
  • Edward Gatzke,
  • Hainan Wang
Edward Gatzke
University of South Carolina

Corresponding Author:[email protected]

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Hainan Wang
University of South Carolina
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Optimization of hybrid dynamic systems typically involves characterizing switching times and mode sequences. Operating autonomous hybrid systems with varying event timings presents multiple challenges. Complexity often arises from optimal mode sequence determination, making optimization of the corresponding hybrid automaton more difficult. An experimental autonomous hybrid dynamic system experiencing switching due to choked flow conditions is presented. Implementing gradient-based optimization algorithms may be difficult due to complex switching patterns of the hybrid dynamic systems. To mitigate this, an approximation of the Heaviside step function is applied to transform the hybrid switching functions to a continuous and smooth forms. Using the Control Vector Parameterization (CVP) approach and evaluating gradients using the variational method, an open-loop time-optimal control problem is presented. Modeling and control methods are demonstrated using an experimental two-tank air system. The optimal control formulation can include constraints to avoid specific undesirable modes of operation.
07 Mar 2024Submitted to Optimal Control, Applications and Methods
08 Mar 2024Submission Checks Completed
08 Mar 2024Assigned to Editor
08 Mar 2024Review(s) Completed, Editorial Evaluation Pending
11 Mar 2024Reviewer(s) Assigned
28 Apr 2024Editorial Decision: Revise Minor