Altitude　test　facilities　for　aero-engines　employ　multi-chamber,　multi-valve　intake　systems　that　require　effective　decoupling　and　strong　disturbance　rejection　during　transient　tests.　This　paper　proposes　a　coordinated　active　disturbance　rejection　control　(ADRC)　scheme　based　on　external　penalty　functions.　The　chamber　pressure　safety　limit　is　formulated　as　an　inequality-constrained　optimization　problem,　and　an　exponential　penalty　together　with　a　gradient　based　algorithm　is　designed　for　dynamic　constraint　relaxation,　with　guaranteed　global　convergence.　A　coordination　term　is　then　integrated　into　a　distributed　ADRC　framework　to　yield　a　multi-valve　coordinated　ADRC　controller,　whose　asymptotic　stability　is　established　via　Lyapunov　theory.　Hardware-in-the-loop　simulations　using　MATLAB/Simulink　and　a　PLC　demonstrate　that,　under　±3　kPa　pressure　constraints,　the　maximum　engine　inlet　pressure　error　is　1.782　kPa　(77.1%　lower　than　PID　control),　and　under　an　80　kg/s2　flow-rate　disturbance,　valve　oscillations　decrease　from　±27%　to　±5%.　These　results　confirm　the　superior　disturbance　rejection　and　decoupling　performance　of　the　proposed　method.　©　2025　by　the　authors.