Decentralized boundary control of irrigation canal networks via a strict Lyapunov method

Abstract: A decentralized boundary control problem for irrigation canal networks is considered in this paper. The control scheme is based on a strict Lyapunov method introduced in Coron et al. (2007). A sufficient condition is presented to guarantee the closed-loop system to be locally convergent to a desired set point, which extends the results in Coron et al. (2007) for the single-pool case to a decentralized fashion for the multi-pool case. By eliminating the redundant variables, the derived condition involves certain contractive condition and discretetime Lyapunov inequality with variables in a diagonal structure. This provides an easier way to check the existence of the solution. An application to a two-pool canal with overflow spillways is presented to demonstrate the proposed approach.