In　order　to　implement　the　tracking　control　design　of　dissolved　oxygen　and　nitrate　nitrogen　concentrations　in　a　nonaffine　wastewater　treatment　system,　a　globalized　dual　heuristic　dynamic　programming　(GDHP)　algorithm　is　established.　First,　the　algorithm　is　initialized　with　a　positive　definite　function　to　ensure　that　the　sequence　of　cost　functions　is　monotonically　nonincreasing.　Then,　the　updating　rules　of　the　cost　function,　the　costate　function,　and　the　tracking　control　law　are　provided　in　the　framework　of　generalized　value　iteration.　Moreover,　the　monotonicity　and　the　admissibility　analysis　of　the　generalized　iteration　algorithm　are　given.　The　model　network,　the　critic　network,　and　the　action　network　are　introduced　to　facilitate　the　implementation　of　the　algorithm.　Finally,　the　evolving　policies　in　the　iterative　process　are　adopted　to　adjust　the　concentrations　of　dissolved　oxygen　and　nitrate　nitrogen　in　the　experimental　simulation,　which　verifies　that　the　proposed　generalized　GDHP-based　optimal　tracking　control　method　is　applicable　online.　©　2022　IEEE.