Exponential H^1 stability of the observation error is shown for the quasilinear heat equation using linear backstepping design, with convergence to zero despite persistent mismatch and a non-monotonic gain-rate relationship.
Schaum et al., Observer design for a nonlinear heat equation: Application to semiconductor wafer processing, Journal of Process Control, 119, 34-43
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Backstepping Observer for the Quasilinear Heat Equation with Linear Design Gains: Beyond Local Stability
Exponential H^1 stability of the observation error is shown for the quasilinear heat equation using linear backstepping design, with convergence to zero despite persistent mismatch and a non-monotonic gain-rate relationship.