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2017 | OriginalPaper | Buchkapitel

6. Output Tracking Control of Constrained Switched Nonlinear Systems

verfasst von : Xudong Zhao, Yonggui Kao, Ben Niu, Tingting Wu

Erschienen in: Control Synthesis of Switched Systems

Verlag: Springer International Publishing

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Abstract

Control systems often suffer from various limits or constraints in the operation space [1, 2], which may arise out of performance requirements or physical constraints imposed on the system by its environmental regulations.

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Literatur
1.
Zurück zum Zitat Alamir M, Murilo A (2008) Swing-up and stabilization of a twin-pendulum under state and control constraints by a fast nmpc scheme. Automatica 44(5):1319–1324MathSciNetCrossRefMATH Alamir M, Murilo A (2008) Swing-up and stabilization of a twin-pendulum under state and control constraints by a fast nmpc scheme. Automatica 44(5):1319–1324MathSciNetCrossRefMATH
2.
Zurück zum Zitat Cinquemani E, Agarwal M, Chatterjee D, Lygeros J (2011) Convexity and convex approximations of discrete-time stochastic control problems with constraints. Automatica 47(9):2082–2087MathSciNetCrossRefMATH Cinquemani E, Agarwal M, Chatterjee D, Lygeros J (2011) Convexity and convex approximations of discrete-time stochastic control problems with constraints. Automatica 47(9):2082–2087MathSciNetCrossRefMATH
3.
Zurück zum Zitat Sun YJ, Lien CH, Hsieh JG (1998) Global exponential stabilization for a class of uncertain nonlinear systems with control constraint. IEEE Trans Autom Control 43(5):674–677MathSciNetCrossRefMATH Sun YJ, Lien CH, Hsieh JG (1998) Global exponential stabilization for a class of uncertain nonlinear systems with control constraint. IEEE Trans Autom Control 43(5):674–677MathSciNetCrossRefMATH
4.
Zurück zum Zitat Derong L, Michel A (1993) Dynamical systems with saturation nonlinearities. Lecture Notes in Control and Information Sciences 195 Derong L, Michel A (1993) Dynamical systems with saturation nonlinearities. Lecture Notes in Control and Information Sciences 195
5.
Zurück zum Zitat Hu T, Lin Z (2003) Composite quadratic lyapunov functions for constrained control systems. IEEE Trans Autom Control 48(3):440–450MathSciNetCrossRef Hu T, Lin Z (2003) Composite quadratic lyapunov functions for constrained control systems. IEEE Trans Autom Control 48(3):440–450MathSciNetCrossRef
6.
7.
Zurück zum Zitat Blanchini F (1999) Survey paper: set invariance in control. Autom(J IFAC) 35(11):1747–1767 Blanchini F (1999) Survey paper: set invariance in control. Autom(J IFAC) 35(11):1747–1767
8.
Zurück zum Zitat Gilbert EG, Tan KT (1991) Linear systems with state and control constraints: The theory and application of maximal output admissible sets. IEEE Trans Autom Control 36(9):1008–1020MathSciNetCrossRefMATH Gilbert EG, Tan KT (1991) Linear systems with state and control constraints: The theory and application of maximal output admissible sets. IEEE Trans Autom Control 36(9):1008–1020MathSciNetCrossRefMATH
9.
Zurück zum Zitat Bemporad A, Borrelli F, Morari M et al (2002) Model predictive control based on linear programming\({}^{\sim }\) the explicit solution. IEEE Trans Autom Control 47(12):1974–1985MathSciNetCrossRef Bemporad A, Borrelli F, Morari M et al (2002) Model predictive control based on linear programming\({}^{\sim }\) the explicit solution. IEEE Trans Autom Control 47(12):1974–1985MathSciNetCrossRef
10.
Zurück zum Zitat Mayne DQ, Rawlings JB, Rao CV, Scokaert PO (2000) Constrained model predictive control: stability and optimality. Automatica 36(6):789–814MathSciNetCrossRefMATH Mayne DQ, Rawlings JB, Rao CV, Scokaert PO (2000) Constrained model predictive control: stability and optimality. Automatica 36(6):789–814MathSciNetCrossRefMATH
11.
Zurück zum Zitat Kogiso K, Hirata K (2009) Reference governor for constrained systems with time-varying references. Robot Auton Syst 57(3):289–295CrossRef Kogiso K, Hirata K (2009) Reference governor for constrained systems with time-varying references. Robot Auton Syst 57(3):289–295CrossRef
12.
Zurück zum Zitat Ngo KB, Mahony R, Jiang ZP (2005) Integrator backstepping using barrier functions for systems with multiple state constraints. In: 2005 44th IEEE Conference on Decision and Control and 2005 European Control Conference, CDC-ECC’05, pp 8306–8312. IEEE Ngo KB, Mahony R, Jiang ZP (2005) Integrator backstepping using barrier functions for systems with multiple state constraints. In: 2005 44th IEEE Conference on Decision and Control and 2005 European Control Conference, CDC-ECC’05, pp 8306–8312. IEEE
13.
Zurück zum Zitat Tee KP, Ge SS, Tay EH (2009) Barrier lyapunov functions for the control of output-constrained nonlinear systems. Automatica 45(4):918–927MathSciNetCrossRefMATH Tee KP, Ge SS, Tay EH (2009) Barrier lyapunov functions for the control of output-constrained nonlinear systems. Automatica 45(4):918–927MathSciNetCrossRefMATH
14.
Zurück zum Zitat Do K (2010) Control of nonlinear systems with output tracking error constraints and its application to magnetic bearings. Int J Control 83(6):1199–1216MathSciNetCrossRefMATH Do K (2010) Control of nonlinear systems with output tracking error constraints and its application to magnetic bearings. Int J Control 83(6):1199–1216MathSciNetCrossRefMATH
15.
Zurück zum Zitat Xu X, Antsaklis PJ (2005) On time optimal control of integrator switched systems with state constraints. Nonlinear Anal: Theory Methods Appl 62(8):1453–1465MathSciNetCrossRefMATH Xu X, Antsaklis PJ (2005) On time optimal control of integrator switched systems with state constraints. Nonlinear Anal: Theory Methods Appl 62(8):1453–1465MathSciNetCrossRefMATH
16.
Zurück zum Zitat Mhaskar P, El-Farra NH, Christofides PD (2005) Predictive control of switched nonlinear systems with scheduled mode transitions. IEEE Trans Autom Control 50(11):1670–1680MathSciNetCrossRef Mhaskar P, El-Farra NH, Christofides PD (2005) Predictive control of switched nonlinear systems with scheduled mode transitions. IEEE Trans Autom Control 50(11):1670–1680MathSciNetCrossRef
17.
Zurück zum Zitat Fu Y, Tian Z, Shi S (2003) State feedback stabilization for a class of stochastic time-delay nonlinear systems. IEEE Trans Autom Control 48(2):282–286MathSciNetCrossRef Fu Y, Tian Z, Shi S (2003) State feedback stabilization for a class of stochastic time-delay nonlinear systems. IEEE Trans Autom Control 48(2):282–286MathSciNetCrossRef
18.
Zurück zum Zitat Qian C, Lin W (2001) Non-lipschitz continuous stabilizers for nonlinear systems with uncontrollable unstable linearization. Syst Control Lett 42(3):185–200MathSciNetCrossRefMATH Qian C, Lin W (2001) Non-lipschitz continuous stabilizers for nonlinear systems with uncontrollable unstable linearization. Syst Control Lett 42(3):185–200MathSciNetCrossRefMATH
19.
20.
Zurück zum Zitat Long L, Zhao J (2012) Control of switched nonlinear systems in-normal form using multiple lyapunov functions. IEEE Trans Autom Control 57(5):1285–1291MathSciNetCrossRef Long L, Zhao J (2012) Control of switched nonlinear systems in-normal form using multiple lyapunov functions. IEEE Trans Autom Control 57(5):1285–1291MathSciNetCrossRef
21.
Zurück zum Zitat Long L, Zhao J (2013) Output-feedback stabilisation for a class of switched nonlinear systems with unknown control coefficients. Int J Control 86(3):386–395MathSciNetCrossRefMATH Long L, Zhao J (2013) Output-feedback stabilisation for a class of switched nonlinear systems with unknown control coefficients. Int J Control 86(3):386–395MathSciNetCrossRefMATH
22.
Zurück zum Zitat Ma R, Zhao J (2010) Backstepping design for global stabilization of switched nonlinear systems in lower triangular form under arbitrary switchings. Automatica 46(11):1819–1823MathSciNetCrossRefMATH Ma R, Zhao J (2010) Backstepping design for global stabilization of switched nonlinear systems in lower triangular form under arbitrary switchings. Automatica 46(11):1819–1823MathSciNetCrossRefMATH
23.
Zurück zum Zitat Ma R, Zhao J, Dimirovski GM (2013) Backstepping design for global robust stabilisation of switched nonlinear systems in lower triangular form. Int J Syst Sci 44(4):615–624MathSciNetCrossRefMATH Ma R, Zhao J, Dimirovski GM (2013) Backstepping design for global robust stabilisation of switched nonlinear systems in lower triangular form. Int J Syst Sci 44(4):615–624MathSciNetCrossRefMATH
24.
Zurück zum Zitat Slotine JJE, Li W (1998) Applied nonlinear control. 1991. NJ: Prantice-Hall, Englewood Cliffs Slotine JJE, Li W (1998) Applied nonlinear control. 1991. NJ: Prantice-Hall, Englewood Cliffs
Metadaten
Titel
Output Tracking Control of Constrained Switched Nonlinear Systems
verfasst von
Xudong Zhao
Yonggui Kao
Ben Niu
Tingting Wu
Copyright-Jahr
2017
DOI
https://doi.org/10.1007/978-3-319-44830-5_6

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