1.4: Chapter References
- Page ID
- 137396
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)- A. G. Ulsoy, H. Peng, and M. Çakmakci, Automotive Control Systems, Cambridge, U.K.: Cambridge Univ. Press., 2012, pp. 213–224, ISBN-13: 978-1-1070-1011-6.
- J. V. Candy, “Accelerometer modeling in the state-space,” LLNL, Accessed: Feb. 10, 2021. [Online] Available: https://www.osti.gov/servlets/purl/1777338, doi:10.2172/1777338.
- F. J. Riley, “Constant speed regulator,” U.S. Patent 2,714,880, Aug. 9, 1955.
- Almadani, N. Alshammari, and A. Al-Roubaiey, “Adaptive cruise control based on real-time DDS middleware,” IEEE Access [Online], vol. 11, pp. 75407–75423, 2023.
- M.A.S. Kamal, K. Hashikura, T. Hayakawa, K. Yamada, and J.-i., Imura, “Adaptive cruise control with look-ahead anticipation for driving on freeways,” MPDI Appl. Sci., vol. 12, p. 929, 2022.
- R. C. Dorf and R. H. Bishop, Modern Control Systems, 12th ed., Englewood Cliffs, NJ, USA: Prentice Hall, 2011, ISBN-10: 0-13-602458-0.
- S. Qu, T. He, and G. Zhu, “Gain-scheduled PID control optimized by iterative genetic algorithm of NSGA-II with application to a nonlinear valve system,” MPDI J. Appl. Sci. (Spec. Issue Res. Appl. Intel. Control Algor.), vol. 13, no. 5, p. 6444, May 2023, doi: 10.3390/app13116444.
- Y. Du, H. Zandi, O. Kotevska, K. Kurte, J. Munk, K. Amasyali, E. Mckee, and F. Li, Yan, “Intelligent multi-zone residential HVAC control strategy based on deep reinforcement learning,” Appl. Energy, vol. 281, p.116117, 2021.
- Z. Ren and G. Zhu, “Modeling and control of an electrical variable valve timing actuator,” ASME J. Dyn. Syst., Meas., Control, vol. 136, no. 2, pp. 021015, 2014, doi: 10.1115/1.4025914.
- K. Al-Jiboory, A. White, S. Zhang, G. Zhu, and J. Choi, “LMI solutions to the input covariance constraint control: application to electronic throttle control,” ASME J. Dyn. Syst., Meas., and Control, vol. 137, no. 9, 091010-1, Sep. 2015, doi: 10.1115/1.4030525.
- S. Qu, T. He, and G. Zhu, “Switched LPV modeling and control of an engine EGR valve with nonlinear dry friction,” IEEE/ASME Trans. Mechatron., vol. 25, no. 3, pp. 1668–1678, Jun. 2020, doi: 10.1109/TMECH.2020.2982315.
- X. Chen, G. Zhu, X. Yang, D. Hung, and X, Tan, “Model-based estimation of flow characteristics using an ionic polymer-metal composite beam,” IEEE/ASME Trans. Mechatron., vol. 18, no. 3, pp. 932–943, June 2013, doi: 10.1109/TMECH.2012.2194300.
- Z. Chen, S. Shatara, and X. Tan, “Modeling of biomimetic robotic fish propelled by an ionic polymer-metal composite caudal fin,” IEEE/ASME Trans. Mechatron., vol. 15, no. 3, pp. 448–459, 2010.
- MPU 6050 data sheet, Accessed: Apr. 18, 2024. [Online] Available: https://invensense.tdk.com/wp-conten...Datasheet1.pdf.
- E. Ramsden, Hall Effect Sensors: Theory and Applications, 2nd ed., Amsterdam, The Netherlands; New York, NY, USA: Elsevier (Science Publishing Co.), 2006, ISBN-13: 978-0-7506-7934-3.
- P. Regtien and E. Dertien, Sensors for Mechatronics, 2nd ed., Amsterdam, The Netherlands; New York, NY, USA: Elsevier (Science Publishing Co.), 2018, IBSN-13: 978-0-12-813810-6.
- J. P. Hespanha, Linear Systems Theory, Prineton, NJ, USA: Princeton Univ. Press, 2009, ISBN-13: 978-0-691-14021-6.
- M. Athens and P. L. Flab, Optimal Control: An Introduction to the Theory and Its Applications, New York, NY, USA: Dover (Publications, Inc.), 2007, ISBN-10: 0-48-645328-6.
- D. S. Naidu, Optimal Control Systems, Boca Raton, FL, USA: CRC Press (Inc.), 2003, ISBN-13: 978-1-3152-1442-9.
- G. Zhu, M. A. Rote, and R. E. Skelton, “A convergent algorithm for the output covariance constraint control problem,” SIAM J. Control Optim., vol. 35, no. 1, pp. 341–361, Jan. 1997.
- L. Hua, J. Tang, H. Dourra, and G. Zhu, “A gray-box surrogate vehicle energy consumption model capable of real-time updating,” Fourth Edition of Focused Section on TMECH/AIM Emerging Topics, IEEE/ASME Trans. Mechatron., vol. 24, no. 4, pp. 2092–2100, Aug. 2023, doi:10.1109/TMECH.2023.3276743.
- G. Zhu, R. E. Skelton, and P. Li, “Q-Markov cover identification using pseudo-random binary signals,” Int. J. Control, vol. 62, no. 6, pp. 1273–1290, 1995.
- G. Zhu, “Weighted multirate q-Markov cover identification using PRBS — an application to engine systems,” Math. Prob. Eng., vol. 6, pp. 201–224, 2000.
- S. Butterworth, “On the Theory of Filter Amplifiers,” Exp. Wireless Eng., vol. 7, pp. 536–541, 1930.
- J. G. Proakis and Dimitris G. Manolakis, Introduction to Digital Signal Processing, New York, NY, USA: Macmillan (Inc.), 1988, ISBN-10: 0-02-396810-9.
- W. S. Chang, T. A. Parlikar, M. D. Seeman, D. J. Perreault, J. G. Kassakian, and T. A.Keim, “A new electromagnetic valve actuator,” Power Electron. Transp., Auburn Hills, MI, USA, 2022, pp. 109–118, doi: 10.1109/PET.2002.1185558.
- K. S. Peterson, A. G. Stefanopoulou, and J. Freudenberg, “Current versus flux in the control of electromechanical valve actuators,” In Proc. 2005 Amer. Control Conf., Portland, OR, USA, June 8–10, 2005, pp. 5021–5026.
- I. Haskara, V. V. Kokotovic, and L. A. Mianzo, “Control of an electro-mechanical valve actuator for a camless engine,” Int. J. Robust Nonlinear Control, vol. 14, no. 6, pp. 561–579, Feb. 2004.
- D. Lou and G. Zhu, “Review of advancement in variable valve actuation of internal combustion engines,” Appl. Sci., Mech. Eng., vol. 10, p. 1216, Feb. 2020, doi: 10.3390/app10041216.
- H. Li, Y. Huang, G. Zhu, and Z. Lou, “Adaptive LQT valve timing control for an electro-hydraulic variable valve actuator,” IEEE Trans. Control Syst. Technol., vol. 27, no. 5, pp. 2182–2194, Sep. 2019, doi: 10.1109/TCST.2018.2861865.
- Z. Lou, Q. Deng, S. Wen, Y. Zhang, M. Yu, M. Sun, and G. Zhu, “Progress in camless variable valve actuation with two-spring pendulum and electro-hydraulic latching,” SAE Int. J. Engines, SAE 2013-01-0590, vol. 6, no. 1, 2013 doi:10.4271/2013-01-0590.
- K. Suman, K, Suneeta, and M. Sasikala, “Direct torque-controlled induction motor drive with space vector modulation fed with three-level inverter,” In Proc. 2012 IEEE Int. Conf. Power Electron., Drives, and Energy Syst. (PEDES), Sep. 2020, pp. 1–6.
- C. Gamache, M. Van Nieuwstadt, J. Martz, and G. Zhu, “LQTI boost pressure and EGR rate control of a diesel air charge system with eBoost assistance,” Int. J. of Engine Res., vol. 25 no. 9, pp. 1659–1670, Sep. 2024, doi: 10.1177/14680874241241364.
- J. Chotai and K. Narwekar, “Modelling and position control of brushed DC motor,” In Proc. 2017 Int. Conf. Adv. Comp., Comm., Control (ICAC3), Mumbai, India, 2017, pp. 1–5, doi: 10.1109/ICAC3.2017.8318792.
- Arduino MKR 1000 Wi-Fi microcontroller, Accessed Jan. 17, 2025. [Online] Available: https://store-usa.arduino.cc/product...3ifuAoM7XW9Tsy
- Arduino MKR Motor Shield (Carrier) Board, Accessed Jan. 22, 2025. [Online] Available: https://store-usa.arduino.cc/product...f91tUDBsREKBez.
- A. K. Al-Jiboory, G. Zhu, S. SM Swei, W. Su, and N. T. Nguyen, “LPV modeling of a flexible wing aircraft using adaptive model gridding and alignment methods,” J. Aerosp. Sci. Technol., vol. 66, pp. 92–104, Jul. 2017, DOI: 10.1016/j.ast.2017.03.009.
- H. Khalili, Nonlinear Systems, 3rd ed., Upper Saddle River, NJ, USA: Pearson, 2002, ISBN-13: 978-0-1306-7389-3.
- M. A. Perales, M. M. Prats, R. Portillo, J. L. Mora, J. I. León, and L.G. Franquelo, “Three-dimensional space vector modulation in ABC coordinates for four-leg voltage source converters,” IEEE Power Electron. Lett., vol. 1, no. 4, pp. 104–109, Dec. 2003.
- Ó. Lopez, J. Alvarez, J. Doval-Gandoy, and F. D. Freijedo, “Multilevel multiphase space vector PWM algorithm,” IEEE Trans. on Ind. Electron., vol. 55, no. 5, pp. 1933–1942, May 2008.
- V. R. Reddy and V. C. V. Reddy, “Mathematical analysis of SCPWM for inverter fed DTC of induction motor drive,” Int. J. Appl. Eng. Res., vol. 13, no. 1, pp. 47–52, 2018.
- C. Farrell Winder, “Shaft angle encoders afford high accuracy,” Electron. Industries, vol. 18, no. 10, Philadelphia, PA, USA, Chilton (Co.), pp. 76–80, Oct. 1959.
- W. Elmenreich, “Sensor fusion in time-triggered systems,” Ph.D. thesis, Vienna Univ. of Tech., Vienna, Austria, 2002, pp. 173.
- R. Oshana, Ed., DSP for Embedded and Real-Time Systems, Oxford, U.K.: Newnes, 2012, ch. 3, pp. 29–61, doi: 10.1016/B978-0-12-386535-9.02001-1, ISBN-13: 978-0-1238-6535-9.
- S. Augarten, The Most Widely Used Computer on a Chip: the TMS 1000, New Haven, CT, USA: Ticknor & Fields, 1983, ISBN-13: 970-0-89919-195-9.
- Arduino IDE software, Accessed Aug. 20, 2025. [Online] Available: https://www.arduino.cc/en/software/.
- Simulink supporting package for Arduino hardware (including Arduino MKR 1000 Wi-Fi), Accessed Aug. 20, 2025. [Online] Available: https://www.mathworks.com/matlabcent...duino-hardware.
- Y. Wang, G. G. Zhu, R. Mukherjee, “Experimental study of NMP sample and hold input using an inverted pendulum,” In Proc. 2018 ASME Dyn. Syst. Control Conf., Atlanta, GA, USA, Sep.30–Oct. 3, 2018, p. V001T01A004.
- Y. Wang and G. Zhu, “Performance improvement of an NMP mini Segway using sample and hold,” MPDI J. Appl. Sci. (Spec. Issue Recent Adv. Mech. Vib. Control), vol. 13, no. 2, pp. 1070, Feb. 2023, doi: 10.3390/app13021070.
Solutions to Practice Problems
- The answer is d).
- The answer is c).
- The answer is b).
- The answer is b).
- The answer is c).
- The answer is a).
- The answer is a).
- Titles of Chapters 2 through 9 are: 2) Mechatronic System Modeling; 3) System Responses and Controls; 4) Signal Processing; 5) Mechatronic System Component: Actuators; 6) Mechatronic System Component: Sensors; 7) Mechatronic Control Systems, 8) Mini-Segway System: Mechatronic System Example 1; and 9) Three-Wheel Cart: Mechatronic System Example 2.
- The analog signal belongs to the physical domain, and the digital signal to the information domain.
- Actuators a) and b) are linear. Actuator c) is rotational.
- The mini-Segway mechatronic system consists of two driving wheels. They are powered in front by two DC-motor wheel assemblies with associated hall-effect speed sensors, and in back by one caster wheel with the following electric/electronic components: a high-quality rechargeable sealed lead-acid battery (12V 12Ah), Arduino MKR 1000 Wi-Fi board, MKR motor carrier board, MPU 6050 three-axis acceleration and rate gyro sensor board, and the MSU interface board.
The three-wheel cart mechatronic system consists of two driving wheels.They are powered in front by two DC-motor wheel assemblies with associated hall-effect speed sensors, and in back by one caster wheel with the following electric/electronic components: a high-quality rechargeable sealed lead-acid battery (12V 12Ah), Arduino MKR 1000 Wi-Fi board, MKR motor carrier board, MPU 6050 three-axis acceleration and rate gyro sensor board, and the MSU interface board.
- Ziegler-Nichols PID control gain-tuning method.
- They are Butterworth and Chebyshev.
- The answer is c).
- The answer is: yes, it is capable
- The answer is: yes, the developed mini-Segway model includes the Coulomb friction model.
- The performance of model-based LQTI strategy is better.