Variable-Structure Control of Power Electronic Converters
Interest in variable-structure control is justified by the necessity of robustly controlling systems whose structure switches between several configurations. Power electronic converters are such class of systems because they can be described by differenti
- PDF / 1,962,569 Bytes
- 49 Pages / 439.37 x 666.142 pts Page_size
- 79 Downloads / 289 Views
Variable-Structure Control of Power Electronic Converters
Interest in variable-structure control is justified by the necessity of robustly controlling systems whose structure switches between several configurations. Power electronic converters are such class of systems because they can be described by differential equations with discontinuous right-hand sides (i.e., discontinuous inputs). Moreover, they exhibit nonlinear behavior which can in some applications render unsuitable standard linear control approaches. Good control performance such as large bandwidth is ensured because the switching solution is obtained directly without any other form of supplementary modulation (PWM, sigma-delta modulation). This chapter first introduces some basic concepts specific to variable-structure control by relying upon some examples commonly used in the power electronics community. Next, mathematical developments are outlined in order to support the general algorithm containing the steps of a variable-structure control design procedure. Buck and boost DC-DC converters serve as benchmarks. Two case studies illustrate the variable-structure control approach: first, a single-phase power-factorcorrection converter (PFCC) and second, a three-phase voltage-source converter used as PFCC, which is treated as a multi-input–multi-output (MIMO) system. Connections between variable-structure control and other nonlinear control approaches are emphasized. This chapter ends with two solved problems and several posed problems.
13.1
Introduction
Variable-structure control theory has its roots in early works of Filippov (1960) and Emelyanov (1967) on nonlinear systems described by differential equations with discontinuous right-hand side that may exhibit sliding modes. This theory has been further developed in many other works, like Utkin (1972) and Itkis (1976). As this approach has matured (Utkin 1977; Hung et al. 1993; Sira-Ramı´rez 1993; Young et al. 1999; Levant 2007; Sabanovic et al. 2004), its robustness has spread its application into many engineering and technology areas; thus, variable-structure S. Bacha et al., Power Electronic Converters Modeling and Control: with Case Studies, 393 Advanced Textbooks in Control and Signal Processing, DOI 10.1007/978-1-4471-5478-5_13, © Springer-Verlag London 2014
394
13 Variable-Structure Control of Power Electronic Converters
control is particularly suitable for nonlinear and/or variant systems such as robotic manipulators (Slotine and Sastry 1983), motion control and electric drives (Utkin 1993; Sˇabanovic 2011) and renewable energy systems (Battista et al. 2000). The relevant literature is particularly rich in the power electronic converter control area. Articles like Venkataramanan et al. (1985), Sira-Ramı´rez (1987, 1988), Malesani et al. (1995), Spiazzi et al. (1995), Carpita and Marchesoni (1996), Mattavelli et al. (1997), Carrasco et al. 1997; Martı´nez-Salamero et al. (1998), Guffon et al. (1998), Sira-Ramı´rez (2003) and Tan et al. (2005) are just few of the bibliographical referenc
Data Loading...
