On Feedback Transformation and Integral Input-to-State Stability in Designing Robust Interval Observers for Control Systems
The problem of designing interval observers is addressed for output feedback control of a class of nonlinear systems in this chapter. The framework of integral input-to-state stability is exploited to drive the estimated intervals and the state variables to the origin asymptotically when disturbances converge to zero. Moreover interval observers are tuned with feedback gain. A reduced-order interval observer is proposed, and the flexibility offered by gains in designing observer is related to the existence of reduced-order interval observers. Comparative simulations are given to illustrate the theoretical results.
KeywordsInterval observers Reduced-order observers Nonlinear systems Output feedback control Guaranteed state estimation.
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