T-S Fuzzy Markov Jump Systems Simulation Example

T-S Fuzzy Markov Jump Systems Simulation based on ode Object and odeEvent object.

This submission provides a simple MATLAB simulation example for Takagi–Sugeno (T-S) fuzzy Markov jump systems (MJSs) subject to Markovian mode switching, fuzzy nonlinear approximation, random jumping transitions. The code implements core system modeling, state-space construction, closed-loop fuzzy controller synthesis (constant state feedback gain) and time-response performance plotting.

The modeling follows classic T-S fuzzy approximation principle to approximate complex nonlinear dynamics, combined with Markov jump stochastic process to describe abrupt parameter variations (component failure, actuator degradation, working condition switching widely seen in industrial mechatronic, aerospace and power systems).