Title :
Dissipativity-based model predictive controller for a family of parameterized systems
Author :
Sredojev, Sonja ; Eaton, Ray
Author_Institution :
Sch. of Electr. Eng. & Telecommun., Univ. of NSW, Sydney, NSW, Australia
Abstract :
We present stability results for dissipative interconnected parameterized systems controlled by model predictive controller (MPC). According to the extensive literature, numerous results have been already developed to stabilize dissipative systems. However, they are still not explored enough in the context of MPC. Therefore, it naturally arises the need to investigate stability properties of dissipative dynamics for this particular class of controllers. In order to construct the efficient algorithm it is a fundamental requirement to get the full information about the plant dynamics. In general, this is very hard to obtain or, even not possible at all. Hence, we aim to stabilise the approximate dynamics containing a set of unknown parameters. Typically, for this type of problems the controller relies on a properly defined adaptation rule which forces the unknown parameter to converge inside a specified closed, convex set. Eventually, the controller drives the state solution to the optimal set-point. Asymptotic stability properties are analysed with respect to the specific quadratic supply rate and linear protocol. We assume that the output is available for a feedback all the time.
Keywords :
adaptive control; asymptotic stability; convergence; feedback; interconnected systems; predictive control; set theory; MPC; adaptation rule; asymptotic stability properties; closed convex set; convergence; dissipative dynamics; dissipative interconnected parameterized systems; dissipative system stabilization; dissipativity-based model predictive controller; feedback; linear protocol; optimal set-point; plant dynamics; quadratic supply rate; state solution; unknown parameters; Asymptotic stability; Cost function; Lyapunov methods; Nonlinear systems; Stability analysis; Uncertainty;
Conference_Titel :
Systems and Computer Science (ICSCS), 2013 2nd International Conference on
Conference_Location :
Villeneuve d´Ascq
Print_ISBN :
978-1-4799-2020-4
DOI :
10.1109/IcConSCS.2013.6632049