A Robust Control Framework for Direct Adaptive State Estimation with Known Inputs for Linear Time-Invariant Dynamic Systems
Many dynamic systems experience unwanted actuation caused by an unknown exogenous input. Typically, when these exogenous inputs are stochastically bounded and a basis set cannot be identified, a Kalman-like estimator may suffice for state estimation, provided there is minimal uncertainty regarding t...
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MDPI AG
2025-06-01
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| Online Access: | https://www.mdpi.com/2076-3417/15/12/6657 |
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| author | Kevin Fuentes Mark Balas James Hubbard |
| author_facet | Kevin Fuentes Mark Balas James Hubbard |
| author_sort | Kevin Fuentes |
| collection | DOAJ |
| description | Many dynamic systems experience unwanted actuation caused by an unknown exogenous input. Typically, when these exogenous inputs are stochastically bounded and a basis set cannot be identified, a Kalman-like estimator may suffice for state estimation, provided there is minimal uncertainty regarding the true system dynamics. However, such exogenous inputs can encompass environmental factors that constrain and influence system dynamics and overall performance. These environmental factors can modify the system’s internal interactions and constitutive constants. The proposed control scheme examines the case where the true system’s plant changes due to environmental or health factors while being actuated by stochastic variances. This approach updates the reference model by utilizing the input and output of the true system. Lyapunov stability analysis guarantees that both internal and external error states will converge to a neighborhood around zero asymptotically, provided the assumptions and constraints of the proof are satisfied. |
| format | Article |
| id | doaj-art-691bf337e1614612bb80b5c1f40e8331 |
| institution | Kabale University |
| issn | 2076-3417 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj-art-691bf337e1614612bb80b5c1f40e83312025-08-20T03:32:28ZengMDPI AGApplied Sciences2076-34172025-06-011512665710.3390/app15126657A Robust Control Framework for Direct Adaptive State Estimation with Known Inputs for Linear Time-Invariant Dynamic SystemsKevin Fuentes0Mark Balas1James Hubbard2Department of Mechanical Engineering, Texas A&M University, College Station, TX 77840, USADepartment of Mechanical Engineering, Texas A&M University, College Station, TX 77840, USADepartment of Mechanical Engineering, Texas A&M University, College Station, TX 77840, USAMany dynamic systems experience unwanted actuation caused by an unknown exogenous input. Typically, when these exogenous inputs are stochastically bounded and a basis set cannot be identified, a Kalman-like estimator may suffice for state estimation, provided there is minimal uncertainty regarding the true system dynamics. However, such exogenous inputs can encompass environmental factors that constrain and influence system dynamics and overall performance. These environmental factors can modify the system’s internal interactions and constitutive constants. The proposed control scheme examines the case where the true system’s plant changes due to environmental or health factors while being actuated by stochastic variances. This approach updates the reference model by utilizing the input and output of the true system. Lyapunov stability analysis guarantees that both internal and external error states will converge to a neighborhood around zero asymptotically, provided the assumptions and constraints of the proof are satisfied.https://www.mdpi.com/2076-3417/15/12/6657adaptive controlstate estimationstochastic input |
| spellingShingle | Kevin Fuentes Mark Balas James Hubbard A Robust Control Framework for Direct Adaptive State Estimation with Known Inputs for Linear Time-Invariant Dynamic Systems Applied Sciences adaptive control state estimation stochastic input |
| title | A Robust Control Framework for Direct Adaptive State Estimation with Known Inputs for Linear Time-Invariant Dynamic Systems |
| title_full | A Robust Control Framework for Direct Adaptive State Estimation with Known Inputs for Linear Time-Invariant Dynamic Systems |
| title_fullStr | A Robust Control Framework for Direct Adaptive State Estimation with Known Inputs for Linear Time-Invariant Dynamic Systems |
| title_full_unstemmed | A Robust Control Framework for Direct Adaptive State Estimation with Known Inputs for Linear Time-Invariant Dynamic Systems |
| title_short | A Robust Control Framework for Direct Adaptive State Estimation with Known Inputs for Linear Time-Invariant Dynamic Systems |
| title_sort | robust control framework for direct adaptive state estimation with known inputs for linear time invariant dynamic systems |
| topic | adaptive control state estimation stochastic input |
| url | https://www.mdpi.com/2076-3417/15/12/6657 |
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