Piecewise-linear LQ control for systems with input constraints
Automatica (Journal of IFAC)
Lectures on Petri Nets I: Basic Models, Advances in Petri Nets, the volumes are based on the Advanced Course on Petri Nets
Piecewise Linear Control Systems
Piecewise Linear Control Systems
Discrete, Continuous, and Hybrid Petri Nets
Discrete, Continuous, and Hybrid Petri Nets
Continuization of timed petri nets: from performance evaluation to observation and control
ICATPN'05 Proceedings of the 26th international conference on Applications and Theory of Petri Nets
Petri nets and integrality relaxations: A view of continuous Petri net models
IEEE Transactions on Systems, Man, and Cybernetics, Part C: Applications and Reviews
Choice-free Petri nets: a model for deterministic concurrentsystems with bulk services and arrivals
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
The explicit linear quadratic regulator for constrained systems
Automatica (Journal of IFAC)
Performance control of Markovian Petri nets via fluid models: a stock-level control example
CASE'09 Proceedings of the fifth annual IEEE international conference on Automation science and engineering
On fluidization of discrete event models: observation and control of continuous Petri nets
Discrete Event Dynamic Systems
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A new low-and-high gain algorithm is presented for tracking control of a subclass of timed continuous Petri Net (contPN) systems working under infinite servers semantics. The inherent properties of timed contPN determine that the control signals must be non-negative and upper bounded by functions of system states. In the proposed control approach, LQ theory is first used to design a low-gain controller such that the control signals satisfy the input constraints. Based on the low-gain controller, a high-gain term is further added to fully employ available control energy, and control performance can be improved consequently. In order to guarantee global tracking convergence and smoothness on the tracking target, a mixed trajectory (state step and ramp) is used instead of a pure step reference signal. The new tracking target is designed to ensure the existence of the low-gain controller and possible fast system response concurrently. Rigorous proof based on Lyapunov function is provided to guarantee that for a conservative and strongly connected Join-Free (JF) timed contPN system, the proposed algorithm can ensure the global asymptotical convergence of both system states and control signals.