In the previous chapter, we discussed how techniques from adaptive control can be used to construct stabilizing controllers for nonlinear systems with uncertain parameters by dynamically adjusting the controller based upon data observed online. In the present chapter, we discuss how the same ideas can be applied to construct controllers that enforce safety, rather than stability specifications. In Sect. 5.1, we define adaptive control barrier functions by extending the notion of adaptive control Lyapunov function that we discussed previously. We further improve this definition by introducing robust adaptive control barrier functions in Sect. 5.2. These notions are first defined for safety constraints with relative degree one with respect to the system dynamics—we extend them for higher relative degrees in Sect. 5.3. We conclude with references, final remarks, and suggestions for further reading in Sect. 5.5.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Adaptive Safety-Critical Control


    Additional title:

    synth. Lectures on Computer sci.


    Contributors:
    Cohen, Max (author) / Belta, Calin (author)


    Publication date :

    2023-05-16


    Size :

    18 pages





    Type of media :

    Article/Chapter (Book)


    Type of material :

    Electronic Resource


    Language :

    English




    A Modular Approach to Adaptive Safety-Critical Control

    Cohen, Max / Belta, Calin | Springer Verlag | 2023



    Towards Verifiable Adaptive Flight Control for Safety Critical Applications

    Schwager, Mac / Jain, Himani / Annaswamy, Anuradha et al. | AIAA | 2005


    Safety-Critical Control

    Cohen, Max / Belta, Calin | Springer Verlag | 2023


    A Safety Process for Self-adaptive Safety-Critical Plug&Fly Avionics

    Brunner, Matthias / Darwesh, Darbaz Nawzad / Annighoefer, Bjoern | IEEE | 2021