Stabilization of feedforward systems approximated by a non-linear chain of integrators
Systems & Control Letters
Partial Stability and Control
SIAM Journal on Control and Optimization
Low-complexity model predictive control of electromagnetic actuators with a stability guarantee
ACC'09 Proceedings of the 2009 conference on American Control Conference
Survey Constructive nonlinear control: a historical perspective
Automatica (Journal of IFAC)
Input-to-state stability for discrete-time nonlinear systems
Automatica (Journal of IFAC)
Low-complexity model predictive control of electromagnetic actuators with a stability guarantee
ACC'09 Proceedings of the 2009 conference on American Control Conference
A predictive control solution for driveline oscillations damping
Proceedings of the 14th international conference on Hybrid systems: computation and control
Stabilization of Finite Automata with Application to Hybrid Systems Control
Discrete Event Dynamic Systems
Stabilization of polytopic delay difference inclusions via the Razumikhin approach
Automatica (Journal of IFAC)
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A central tool in systems theory for synthesizing control laws that achieve stability are control Lyapunov functions (CLFs). Classically, a CLF enforces that the resulting closed-loop state trajectory is contained within a cone with a fixed, predefined shape, and which is centered at and converges to a desired converging point. However, such a requirement often proves to be overconservative. In this paper we propose a novel idea that improves the design of CLFs in terms of flexibility, i.e. the CLF is permitted to be locally nonmonotone along the closed-loop trajectory. The focus is on the design of optimization problems that allow certain parameters that define a cone associated with a standard CLF to be decision variables. In this way non-monotonicity of the CLF is explicitly linked with a decision variable that can be optimized on-line. Conservativeness is significantly reduced compared to classical CLFs, which makes flexible CLFs more suitable for stabilization of constrained discrete-time nonlinear systems and real-time control.