TY - GEN
T1 - Design of Continuous Time Nonlinear Control with Quadruple Tank System Application
AU - Gupta, Sowmya
AU - Rajhans, Chinmay
N1 - Publisher Copyright:
© 2022, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
PY - 2022
Y1 - 2022
N2 - Ensuring asymptotic stability of the Nonlinear Model Predictive Control formulation is not easy. Additional elements such as terminal penalty term and terminal region are crucial in establishing the asymptotic stability. Current work presents an alternate linear quadratic regulator-based approach, which provides larger degrees of freedom for enlarging the terminal region. Modified Lyapunov equations are presented and subsequently asymptotic stability of the closed loop nonlinear system under model predictive control formulation is established. Effectiveness of the novel approach is demonstrated using quadruple tank system. Quadruple tank system is a four state system with coupled states and is challenging for control due to interactions. Terminal regions obtained using the linear quadratic regulator-based approach is larger than the terminal region obtained using the approach from the literature. Proposed approach is expandable to system with any state and input dimension.
AB - Ensuring asymptotic stability of the Nonlinear Model Predictive Control formulation is not easy. Additional elements such as terminal penalty term and terminal region are crucial in establishing the asymptotic stability. Current work presents an alternate linear quadratic regulator-based approach, which provides larger degrees of freedom for enlarging the terminal region. Modified Lyapunov equations are presented and subsequently asymptotic stability of the closed loop nonlinear system under model predictive control formulation is established. Effectiveness of the novel approach is demonstrated using quadruple tank system. Quadruple tank system is a four state system with coupled states and is challenging for control due to interactions. Terminal regions obtained using the linear quadratic regulator-based approach is larger than the terminal region obtained using the approach from the literature. Proposed approach is expandable to system with any state and input dimension.
UR - https://www.scopus.com/pages/publications/85142722054
UR - https://www.scopus.com/pages/publications/85142722054#tab=citedBy
U2 - 10.1007/978-981-19-4300-3_3
DO - 10.1007/978-981-19-4300-3_3
M3 - Conference contribution
AN - SCOPUS:85142722054
SN - 9789811942990
T3 - Lecture Notes in Electrical Engineering
SP - 29
EP - 41
BT - Emerging Electronics and Automation - Select Proceedings of E2A 2021
A2 - Chong, Peter Han Joo
A2 - Kalam, Akhtar
A2 - Pascoal, Antonio
A2 - Bera, Manas Kumar
PB - Springer Science and Business Media Deutschland GmbH
T2 - 1st International Conference on Emerging Electronics and Automation, E2A 2021
Y2 - 17 December 2021 through 19 December 2021
ER -