Composite adaptive posicast control for a class of LTI plants with known delay

Multivariable adaptive control: A survey

“…(2) Adaptive control of systems with delays is currently an active research area with significant progresses (see, for example, Bekiaris-Liberis & Krstić, 2013;Chen et al, 2009;Dydek et al, 2013;Krstić, 2009;Mirkin & Gutman, 2003;Ohkawa & Yonezawa, 1982;Richard, 2003;Tao, 2003;Zhang & Ge, 2007;Zhang &Zhou &Wen, 2008 Hou, Cheng, & Tan, 2009;Lewis et al, 2014;Cao, 2011 andSchwager, Rus, &Slotine, 2009); and adaptive iterative learning control (Xu, Panda, & Lee, 2008). Multivariable adaptive control techniques are useful to solve the underlying research problems related to multivariable systems.…”

“…The multivariable adaptive control research has tackled many important and challenging problems and derived numerous rigorous and promising solutions, for example: pole placement control (Arruti & Florez, 1992); adaptive H ∞ tracking control (Chang, 2001); data-based adaptive switching control (Chai, Zhang, & Su, 2011); adaptive switching control (Chang & Davison, 1999;Kosmatopoulos & Ioannou, 2002); adaptive control of nonlinear systems with input constraints (Chen, Ge, & Ren, 2011;Leonessa, Haddad, Hayakawa, & Morel, 2009); adaptive control of time-delay systems (Chen, Liu, Liu, & Lin, 2009;Ohkawa & Yonezawa, 1982;Zhang & Ge, 2007); variable structure adaptive control (Chien, Sun, Wu, & Fu, 1996;Zinober, El-Ghezawi, & Billings, 1982); multivariable adaptive control of discrete-time systems (de la Sen & Paz, 1985;Garrido & Lozano, 1994;Li & Yang, 2013;Liang, Ishitobi, & Zhu, 2003;Moctezuma & Lozano, 1995;Shah, Mohtadi, & Clarke, 1987;Thathachar & Gajendran, 1981;Wang & Lang, 1990); parameter convergence in multivariable recursive identification (de Mathelin & Bodson, 1990;Ding & Chen, 2005); composite adaptive posicast control (Dydek, Annaswamy, Slotine, & Lavretsky, 2013); adaptive observers for nonlinearly parametrized systems (Farza, M'Saad, Maatoug, & Kamoun, 2009); adaptive stabilization via switching control (Fu & Barmish, 1986); adaptive control of stochastic systems with backlash inputs (Han, Zhang, & Gu, 1993); sliding mode control (Bartolini, Ferrara, & Utkin, 1995;Chen, 2006;Hsu, Costa, & Cunha, 2003;…”

On parameter convergence in least squares identification and adaptive control

“…Remark Composite adaptation is an integrated direct with indirect adaptive control strategy that can achieve higher tracking accuracy and better parameter estimation via faster and smoother parameter adaptation . Both the composite adaptation and the proposed approach utilize two kinds of feedback information.…”

“…Composite adaptation is an integrated direct with indirect adaptive control strategy that can achieve higher tracking accuracy and better parameter estimation via faster and smoother parameter adaptation. [46][47][48][49][50] Both the composite adaptation and the proposed approach utilize two kinds of feedback information. In the composite adaptation, the modeling error and the tracking error e are utilized as feedback information such that parameter convergence can only be guaranteed by the stringent PE condition.…”

Passification-based adaptive control: Uncertain input and output delays

“…(Ben Yamin, Yaesh, & Shaked, 2010;Mirkin & Gutman, 2004, 2010Zhang, Xu, & Chu, 2010) to name a few. Adaptive controllers for linear systems with full state measurements and a constant input delay have been proposed and analyzed in Dydek, Annaswamy, Slotine, and Lavretsky (2013) ;Toodeshki, Hosseinnia, and Askari (2011). Passification-based adaptive output-feedback controller with a constant input delay has been studied in Mizumoto (2013).…”