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      <image:title>Running - Hindsight is… - Days Off</image:title>
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    <loc>https://www.blackmitchell.com/research/black2021adaptation</loc>
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    <lastmod>2022-04-07</lastmod>
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      <image:title>Research - FxTS Adaptation (ECC 2021)</image:title>
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      <image:title>Research - FxTS Adaptation (ECC 2021)</image:title>
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      <image:title>Research - FxTS Adaptation (ECC 2021)</image:title>
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      <image:title>Research - FxTS Adaptation (ECC 2021)</image:title>
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      <image:title>Research - FxTS Adaptation (ECC 2021)</image:title>
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      <image:title>Research - FxTS Adaptation (ECC 2021)</image:title>
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      <image:title>Research - FxTS Adaptation (ECC 2021)</image:title>
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      <image:title>Research - FxTS Adaptation (ECC 2021)</image:title>
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      <image:title>Research - FxTS Adaptation (ECC 2021)</image:title>
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      <image:title>Research - FxTS Adaptation (ECC 2021)</image:title>
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      <image:title>Research - FxTS Adaptation (ECC 2021)</image:title>
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    <loc>https://www.blackmitchell.com/research/black2020nonvanishing</loc>
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    <lastmod>2021-01-01</lastmod>
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      <image:title>Research - Non-vanishing Disturbances (CDC 2020) - Problem setup for the highway overtake maneuver.</image:title>
      <image:caption>Problem setup for the overtake maneuver.</image:caption>
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      <image:title>Research - Non-vanishing Disturbances (CDC 2020) - Ego vehicle trajectories for case with 10 different disturbance bounds.</image:title>
      <image:caption>Ego vehicle trajectories for case with 10 different disturbance bounds.</image:caption>
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      <image:title>Research - Non-vanishing Disturbances (CDC 2020) - Ego Vehicle trajectories for 7 different initial conditions.</image:title>
      <image:caption>Ego Vehicle trajectories for 7 different initial conditions.</image:caption>
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      <image:title>Research - Non-vanishing Disturbances (CDC 2020)</image:title>
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      <image:title>Research - Non-vanishing Disturbances (CDC 2020)</image:title>
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      <image:title>Research - Non-vanishing Disturbances (CDC 2020)</image:title>
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      <image:title>Research - Non-vanishing Disturbances (CDC 2020)</image:title>
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    <image:image>
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      <image:title>Research - Non-vanishing Disturbances (CDC 2020)</image:title>
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    <image:image>
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      <image:title>Research - Non-vanishing Disturbances (CDC 2020)</image:title>
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      <image:title>Research - Non-vanishing Disturbances (CDC 2020)</image:title>
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    <image:image>
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      <image:title>Research - Non-vanishing Disturbances (CDC 2020)</image:title>
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  <url>
    <loc>https://www.blackmitchell.com/research/black2022ffcbf</loc>
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    <lastmod>2022-10-03</lastmod>
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      <image:title>Research - Future-Focused CBFs for Autonomous Vehicle Control (ACC 2023, under review)</image:title>
      <image:caption>The rv-CBF control scheme achieved 100% feasibility even in the turning scenario, despite the constant velocity prediction model not taking a change of heading into account. We leave any theoretical guarantees of feasibility, however, to future work.</image:caption>
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      <image:title>Research - Future-Focused CBFs for Autonomous Vehicle Control (ACC 2023, under review)</image:title>
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      <image:title>Research - Future-Focused CBFs for Autonomous Vehicle Control (ACC 2023, under review) - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
    </image:image>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/5ee0b314abc0b50eeeb7eff1/bef33f4a-a8a5-4766-bb53-797d708ed202/success_controls_650.png</image:loc>
      <image:title>Research - Future-Focused CBFs for Autonomous Vehicle Control (ACC 2023, under review) - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
    </image:image>
    <image:image>
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      <image:title>Research - Future-Focused CBFs for Autonomous Vehicle Control (ACC 2023, under review) - Make it stand out</image:title>
      <image:caption>Visualization of the effect of the ff-CBF. Whereas the nominal CBF is evaluated based on the locations of vehicles 1 (maize) and 2 (blue) at time t, i.e. (a) and (b), the ff-CBF evaluates safety based on the predicted future locations of the vehicles at time t + tau, i.e. (c) and (d), allowing the present control to take action to avoid predicted future danger.</image:caption>
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      <image:title>Research - Future-Focused CBFs for Autonomous Vehicle Control (ACC 2023, under review)</image:title>
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      <image:title>Research - Future-Focused CBFs for Autonomous Vehicle Control (ACC 2023, under review)</image:title>
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      <image:title>Research - Future-Focused CBFs for Autonomous Vehicle Control (ACC 2023, under review)</image:title>
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      <image:title>Research - Future-Focused CBFs for Autonomous Vehicle Control (ACC 2023, under review)</image:title>
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      <image:title>Research - Future-Focused CBFs for Autonomous Vehicle Control (ACC 2023, under review)</image:title>
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      <image:title>Research - Future-Focused CBFs for Autonomous Vehicle Control (ACC 2023, under review)</image:title>
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      <image:title>Research - Future-Focused CBFs for Autonomous Vehicle Control (ACC 2023, under review)</image:title>
    </image:image>
  </url>
  <url>
    <loc>https://www.blackmitchell.com/research/black2022adaptation</loc>
    <changefreq>monthly</changefreq>
    <priority>0.5</priority>
    <lastmod>2022-12-09</lastmod>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/5ee0b314abc0b50eeeb7eff1/80802420-4d83-433d-8fef-b140f9522a10/image-asset.png</image:loc>
      <image:title>Research - Fixed-Time Parameter Adaptation for Safe Control Synthesis (Automatica, under review) - Make it stand out</image:title>
      <image:caption>Quadrotor XY trajectories as the controller seeks to track the reference trajectory (RT) in a wind field.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/5ee0b314abc0b50eeeb7eff1/41486097-e992-4bdb-bb43-d15b5a0822cd/image-asset.png</image:loc>
      <image:title>Research - Fixed-Time Parameter Adaptation for Safe Control Synthesis (Automatica, under review) - Make it stand out</image:title>
      <image:caption>Evolutions of the states, control inputs, and control barrier functions for the full-rank regressor “Shoot the Gap” example.</image:caption>
    </image:image>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/5ee0b314abc0b50eeeb7eff1/c6de306f-7b59-40cb-b6a6-c2cb177b854f/image-asset.png</image:loc>
      <image:title>Research - Fixed-Time Parameter Adaptation for Safe Control Synthesis (Automatica, under review) - Make it stand out</image:title>
      <image:caption>Principal coefficient of drag estimates for the quadrotor in a 1) constant (CW) and 2) gusty (WG) wind field under the proposed controller with the state prediction (SP) scheme.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/5ee0b314abc0b50eeeb7eff1/3dee499c-10cf-4611-9568-42d355cafb0e/image-asset.png</image:loc>
      <image:title>Research - Fixed-Time Parameter Adaptation for Safe Control Synthesis (Automatica, under review) - Make it stand out</image:title>
      <image:caption>Evolutions of the states, control inputs, and control barrier functions for the rank-deficient regressor “Shoot the Gap” example.</image:caption>
    </image:image>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/5ee0b314abc0b50eeeb7eff1/84e27773-1a3b-49ad-b745-118171f89308/Screen+Shot+2022-04-25+at+10.08.56+AM.png</image:loc>
      <image:title>Research - Fixed-Time Parameter Adaptation for Safe Control Synthesis (Automatica, under review)</image:title>
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      <image:title>Research - Fixed-Time Parameter Adaptation for Safe Control Synthesis (Automatica, under review)</image:title>
    </image:image>
  </url>
  <url>
    <loc>https://www.blackmitchell.com/research/black2023consolidated</loc>
    <changefreq>monthly</changefreq>
    <priority>0.5</priority>
    <lastmod>2022-10-03</lastmod>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/5ee0b314abc0b50eeeb7eff1/8bda1500-a873-4931-ab04-ab8dbbe04062/Ktrajectories.png</image:loc>
      <image:title>Research - Adaptation for Validation of a Consolidated CBF based Control Synthesis (ICRA 2023, under review) - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/5ee0b314abc0b50eeeb7eff1/f8109e1f-d265-49a7-aade-433c2153a6c8/ccbf_trajectories+%281%29.png</image:loc>
      <image:title>Research - Adaptation for Validation of a Consolidated CBF based Control Synthesis (ICRA 2023, under review) - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/5ee0b314abc0b50eeeb7eff1/0a7addd4-d414-48a6-9e05-6f95f4723a86/cbf_trajectories+%282%29.png</image:loc>
      <image:title>Research - Adaptation for Validation of a Consolidated CBF based Control Synthesis (ICRA 2023, under review) - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/5ee0b314abc0b50eeeb7eff1/9256b3a0-b556-4403-9df7-665bb73971e2/adaptive_safe_set.jpg</image:loc>
      <image:title>Research - Adaptation for Validation of a Consolidated CBF based Control Synthesis (ICRA 2023, under review)</image:title>
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      <image:title>Research - Adaptation for Validation of a Consolidated CBF based Control Synthesis (ICRA 2023, under review)</image:title>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/5ee0b314abc0b50eeeb7eff1/f1d8612d-2774-4f3a-9c81-926d5b126909/Screen+Shot+2022-10-03+at+5.27.36+PM.png</image:loc>
      <image:title>Research - Adaptation for Validation of a Consolidated CBF based Control Synthesis (ICRA 2023, under review)</image:title>
    </image:image>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/5ee0b314abc0b50eeeb7eff1/5b1e9878-8a72-45b3-8b5e-4a0b71cb6a84/Screen+Shot+2022-10-03+at+5.27.45+PM.png</image:loc>
      <image:title>Research - Adaptation for Validation of a Consolidated CBF based Control Synthesis (ICRA 2023, under review)</image:title>
    </image:image>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/5ee0b314abc0b50eeeb7eff1/dcff0c65-cf62-45a8-8d0a-55d00f9efe22/Screen+Shot+2022-10-03+at+5.27.56+PM.png</image:loc>
      <image:title>Research - Adaptation for Validation of a Consolidated CBF based Control Synthesis (ICRA 2023, under review)</image:title>
    </image:image>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/5ee0b314abc0b50eeeb7eff1/3a17b745-a229-48b6-a930-a5bc4ad35f17/Screen+Shot+2022-10-03+at+5.28.06+PM.png</image:loc>
      <image:title>Research - Adaptation for Validation of a Consolidated CBF based Control Synthesis (ICRA 2023, under review)</image:title>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/5ee0b314abc0b50eeeb7eff1/dba819c6-9a6d-4fa6-a3c7-0dfac0872e93/Screen+Shot+2022-10-03+at+5.28.18+PM.png</image:loc>
      <image:title>Research - Adaptation for Validation of a Consolidated CBF based Control Synthesis (ICRA 2023, under review)</image:title>
    </image:image>
  </url>
  <url>
    <loc>https://www.blackmitchell.com/research/black2022koopman</loc>
    <changefreq>monthly</changefreq>
    <priority>0.5</priority>
    <lastmod>2022-12-09</lastmod>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/5ee0b314abc0b50eeeb7eff1/5c77bab2-7ddf-4b23-91db-a4b38ba0e507/Screen+Shot+2022-12-09+at+7.34.29+AM.png</image:loc>
      <image:title>Research - Safe Control for Unknown Nonlinear Systems with Koopman-based FxT-ID (2023 IFAC WC, under review) - Make it stand out</image:title>
      <image:caption>Control inputs for the perturbed double-integrator example.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/5ee0b314abc0b50eeeb7eff1/77622931-6000-49e3-9626-ba798d331fff/Screen+Shot+2022-12-09+at+7.34.42+AM.png</image:loc>
      <image:title>Research - Safe Control for Unknown Nonlinear Systems with Koopman-based FxT-ID (2023 IFAC WC, under review) - Make it stand out</image:title>
      <image:caption>Evolutions of h1 and h2 for the various controllers considered in the double-integrator example.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/5ee0b314abc0b50eeeb7eff1/71bc2a93-d584-4bf4-a54d-4d3d7bf71040/Screen+Shot+2022-12-09+at+7.34.14+AM.png</image:loc>
      <image:title>Research - Safe Control for Unknown Nonlinear Systems with Koopman-based FxT-ID (2023 IFAC WC, under review) - Make it stand out</image:title>
      <image:caption>The estimates of the unknown wind gusts. In our scheme, the estimates converge to the true values within the fixed-time T without noise, and converge to a close approximation in the presence of measurement noise</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/5ee0b314abc0b50eeeb7eff1/e939d2ce-6c4d-456b-bd79-2e6fa4a30e78/Screen+Shot+2022-12-09+at+7.34.00+AM.png</image:loc>
      <image:title>Research - Safe Control for Unknown Nonlinear Systems with Koopman-based FxT-ID (2023 IFAC WC, under review) - Make it stand out</image:title>
      <image:caption>XY paths under the various CBF-QP control laws in the double-integrator example. Only the controllers using the proposed Koopman-based fixed-time identification scheme succeed in preserving safety.</image:caption>
    </image:image>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/5ee0b314abc0b50eeeb7eff1/15b74914-63b4-4dd1-8065-3f53013df8fe/Screen+Shot+2022-12-09+at+7.30.28+AM.png</image:loc>
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      <image:title>Research - Safe Control for Unknown Nonlinear Systems with Koopman-based FxT-ID (2023 IFAC WC, under review)</image:title>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/5ee0b314abc0b50eeeb7eff1/167ae29d-479a-46b4-9de4-6a2792f0b11b/Screen+Shot+2022-12-09+at+7.31.01+AM.png</image:loc>
      <image:title>Research - Safe Control for Unknown Nonlinear Systems with Koopman-based FxT-ID (2023 IFAC WC, under review)</image:title>
    </image:image>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/5ee0b314abc0b50eeeb7eff1/93f474d0-d1a1-44cd-80cb-4bebb37ab22c/Screen+Shot+2022-12-09+at+7.31.17+AM.png</image:loc>
      <image:title>Research - Safe Control for Unknown Nonlinear Systems with Koopman-based FxT-ID (2023 IFAC WC, under review)</image:title>
    </image:image>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/5ee0b314abc0b50eeeb7eff1/600fbea8-3591-4f72-82bf-5eaa61277b94/Screen+Shot+2022-12-09+at+7.31.28+AM.png</image:loc>
      <image:title>Research - Safe Control for Unknown Nonlinear Systems with Koopman-based FxT-ID (2023 IFAC WC, under review)</image:title>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/5ee0b314abc0b50eeeb7eff1/373deae9-d0f6-455c-8db1-3ef4a0d32c89/Screen+Shot+2022-12-09+at+7.31.43+AM.png</image:loc>
      <image:title>Research - Safe Control for Unknown Nonlinear Systems with Koopman-based FxT-ID (2023 IFAC WC, under review)</image:title>
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      <image:title>Research - Safe Control for Unknown Nonlinear Systems with Koopman-based FxT-ID (2023 IFAC WC, under review)</image:title>
    </image:image>
  </url>
</urlset>

