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Piecewise-Linear PID Control of Nonlinear Systems Tuned by Particle Swarm Optimization

Controls a nonlinear system by approximating its nonlinearity with a simplicial piecewise-linear model (refined by a resolution parameter h), applying a PID controller on the linearized regimes, and tuning the PID gains via Particle Swarm Optimization to minimize ITAE/ISE integral error criteria.

KITT Text

2501.00820

Tackles PID control of nonlinear systems governed by y^(n)+f(y,y',...,y^(n-1))=u(t) by approximating the nonlinearity f with a piecewise-linear (simplicial) interpolation over a compact set partition…