5 papers
Robust Constrained Optimization via Sliding Mode Control
Shyam Kamal, Baby Diana, Sunidhi Pandey +2
This paper develops a sliding mode control based frame work for equality constrained optimization by reformulation the first order Karush Kuhn Tucker conditions as control affine d…
Interval Observer Design Using Observability Decomposition for Detectable Linear Systems
Gia Quoc Bao Tran, Thach Ngoc Dinh, Zhenhua Wang
We provide a systematic interval observer design method for detectable linear time-invariant (LTI) systems, where a part of the state is observable from the measured output. An obs…
Novel Stability Criteria for Discrete and Hybrid Systems via Ramanujan Inner Products
Shyam Kamal, Sunidhi Pandey, Thach Ngoc Dinh +1
This paper introduces a Ramanujan inner product and its corresponding norm, establishing a novel framework for the stability analysis of hybrid and discrete-time systems as an alte…
Offline and Online Use of Interval and Set-Based Approaches for Control and State Estimation: A Selection of Methodological Approaches and Their Application
Andreas Rauh, Marit Lahme, Simon Rohou +4
Control and state estimation procedures need to be robust against imprecisely known parameters, uncertainty in initial conditions, and external disturbances. Interval methods and o…
Systematic interval observer design for linear systems
Thach Ngoc Dinh, Gia Quoc Bao Tran
We first develop systematic and comprehensive interval observer designs for linear time-invariant (LTI) systems, under standard assumptions of observability and interval bounds on…