Controlling the Ćuk Converter Using Polytopic Lyapunov Functions
- Resource Type
- Periodical
- Authors
- Lekic, A.; Stipanovic, D.; Petrovic, N.
- Source
- IEEE Transactions on Circuits and Systems II: Express Briefs IEEE Trans. Circuits Syst. II Circuits and Systems II: Express Briefs, IEEE Transactions on. 65(11):1678-1682 Nov, 2018
- Subject
- Components, Circuits, Devices and Systems
Lyapunov methods
Switches
Control design
Calculus
Transistors
Circuits and systems
Ćuk converter
Lyapunov stability
polytope
switching
continuous conduction mode
- Language
- ISSN
- 1549-7747
1558-3791
In this brief, the Ćuk dc/dc converter is controlled by a switching sequence based on the values of a polytopic Lyapunov function. In particular, the switching control signal is computed using a Lyapunov function which has polytopic level sets and it is not everywhere differentiable. The problem of not everywhere differentiability is handled using the Filippov’s approach for discontinuous differential equations. The main advantage of the presented control design approach is that it provides exact computation of the state variables’ ripple values which could not be obtained with previously used quadratic Lyapunov functions. The implementation particularities of the approach are illustrated and verified using a number of simulations.