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Variable-speed heat pump systems offer capabilities foradvanced control strategies that coordinate the operation ofcompressor, valve, and fans to maximize efficiency whiletracking changing heating and cooling loads. However,advanced multivariable controllers can be more complex todesign, implement, and troubleshoot. This paper presentsenergy-optimal coordinated control strategies with varyinglevels of complexity, ranging from decoupled proportionalintegral-derivative control to linear quadratic Gaussian(LQG) multivariable control. The advantages anddisadvantages of the three strategies are analyzed andcompared in experiment.