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lines changed Original file line number Diff line number Diff line change @@ -153,17 +153,17 @@ See [`sim!`](@ref) documentation for details on the possible simulation scenario
153153## Economic Model Predictive Controller
154154
155155Economic MPC can achieve the same objective but with lower economical costs. For this case
156- study, the controller will aim to reduce the energy consumed by the motor. The power (W)
156+ study, the controller will aim to reduce the energy consumed by the motor. The power in watt
157157transmitted by the motor to the pendulum is:
158158
159159``` math
160- Ẇ (t) = τ(t) ω(t)
160+ P (t) = τ(t) ω(t)
161161```
162162
163- Thus, the work (J) done by the motor from `` t = t_0 `` to `` t_{end} `` is:
163+ Thus, the work in joule done by the motor from `` t = t_0 `` to `` t_{end} `` is:
164164
165165``` math
166- W = \int_{t_0}^{t_{end}} Ẇ (t) \mathrm{d}t = \int_{t_0}^{t_{end}} τ(t) ω(t) \mathrm{d}t
166+ W = \int_{t_0}^{t_{end}} P (t) \mathrm{d}t = \int_{t_0}^{t_{end}} τ(t) ω(t) \mathrm{d}t
167167```
168168
169169With the sampling time `` T_s `` in s, the prediction horizon `` H_p `` , the limits defined as
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