CONTROL AND DYNAMIC SYSTEMS: ADVANCES IN THEORY AND APPLICATION

By G. ALUND

CONTENTS INTRODUCTION SCOPE OF THE BOOK MOTIVATION EXAMPLES FREE-FALLING OBJECT FIRST PROGRAM IN MATLAB FIRST PROGRAM IN PYTHON LIGAND–RECEPTOR INTERACTIONS ORGANIZATION OF THE BOOK EXERCISES BIBLIOGRAPHY ATTITUDE ESTIMATION AND CONTROL ATTITUDE KINEMATICS AND SENSORS SOLVE QUATERNION KINEMATICS MATLAB PYTHON GYROSCOPE SENSOR MODEL ZERO-MEAN GAUSSIAN WHITE NOISE GENERATE RANDOM NUMBERS STOCHASTIC PROCESS GYROSCOPE WHITE NOISE GYROSCOPE RANDOM WALK NOISE GYROSCOPE SIMULATION OPTICAL SENSOR MODEL ATTITUDE ESTIMATION ALGORITHM A SIMPLE ALGORITHM QUEST ALGORITHM KALMAN FILTER EXTENDED KALMAN FILTER ERROR DYNAMICS BIAS NOISE NOISE PROPAGATION IN ERROR DYNAMICS STATE TRANSITION MATRIX, ? VECTOR MEASUREMENTS SUMMARY KALMAN FILTER UPDATE KALMAN FILTER PROPAGATION ATTITUDE DYNAMICS AND CONTROL DYNAMICS EQUATION OF MOTION ACTUATOR AND CONTROL ALGORITHM MATLAB PROGRAM ATTITUDE CONTROL ALGORITHM ALTITUDE CONTROL ALGORITHM SIMULATION ROBUSTNESS ANALYSIS PARALLEL PROCESSING AUTONOMOUS VEHICLE MISSION PLANNING PATH PLANNING POTENTIAL FIELD METHOD GRAPH THEORY-BASED SAMPLING METHOD DIJKSTRA’S SHORTEST PATH ALGORITHM COMPLEX OBSTACLES MOVING TARGET TRACKING UAV AND MOVING TARGET MODEL OPTIMAL TARGET TRACKING PROBLEM WORST-CASE SCENARIO OPTIMAL CONTROL INPUT TRACKING ALGORITHM IMPLEMENTATION CONSTRAINTS MINIMUM TURN RADIUS CONSTRAINTS VELOCITY CONSTRAINTS OPTIMAL SOLUTION CONTROL INPUT SAMPLING INSIDE THE CONSTRAINTS OPTIMAL INPUT VERIFICATION SIMULATION BIOLOGICAL SYSTEM MODELLING BIOMOLECULAR INTERACTIONS DETERMINISTIC MODELLING GROUP OF CELLS AND MULTIPLE EXPERIMENTS MODEL FITTING AND THE MEASUREMENTS FINDING ADAPTIVE PARAMETERS E COLI TRYPTOPHAN REGULATION MODEL STEADY-STATE AND DEPENDANT PARAMETERS PADÉ APPROXIMATION OF TIME-DELAY STATE-SPACE REALIZATION MODEL PARAMETER RANGES MODEL FITTING OPTIMIZATION OPTIMAL SOLUTION (MATLAB) OPTIMAL SOLUTION (PYTHON) ADAPTIVE PARAMETERS LIMITATIONS BIOLOGICAL OSCILLATION GILLESPIE’S DIRECT METHOD SIMULATION IMPLEMENTATION BIOLOGICAL SYSTEM CONTROL CONTROL ALGORITHM IMPLEMENTATION PI CONTROLLER INTEGRAL TERM PROPORTIONAL TERM SUMMATION OF THE PROPORTIONAL AND THE INTEGRAL TERMS APPROXIMATED PI CONTROLLER COMPARISON OF PI CONTROLLER AND THE APPROXIMATION ERROR CALCULATION: ?P ROBUSTNESS ANALYSIS: ??-ANALYSIS SIMPLE EXAMPLES ??UPPER BOUND ??LOWER BOUND COMPLEX NUMBERS IN MATLAB/PYTHON SYNTHETIC CIRCUITS ??-UPPER BOUND: GEOMETRIC APPROACH FURTHER READINGS BOOLEAN NETWORK NETWORK STRUCTURE ANALYSIS SPATIAL-TEMPORAL DYNAMICS DEEP LEARNING NEURAL NETWORK REINFORCEMENT LEARNING