Minimum Time Disturbance Rejection and Tracking Control of n+m Linear Hyperbolic PDEs
Journal article, Peer reviewed
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Original versionAmerican Control Conference (ACC). 2018, 2018-June 1707-1713. 10.23919/ACC.2018.8430998
We extend recent results regarding disturbance rejection control of n+m linear hyperbolic partial differential equations (PDEs) in a number of ways: 1) We allow spatially varying coefficients; 2) The disturbance is allowed to enter in the interior of the domain, and; 3) Rejection is achieved in minimum time. Additionally, we solve a tracking problem, where the tracking objective is achieved in finite, minimum time. We use a recently derived Fredholm transformation technique in addition to infinite-dimensional backstepping in our design.